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3-dimensional finite difference dynamic analysis</title> <meta name="description" content="Search results for: 3-dimensional finite difference dynamic analysis"> <meta name="keywords" content="3-dimensional finite difference dynamic analysis"> <meta name="viewport" content="width=device-width, initial-scale=1, minimum-scale=1, maximum-scale=1, user-scalable=no"> <meta charset="utf-8"> <link href="https://cdn.waset.org/favicon.ico" type="image/x-icon" rel="shortcut icon"> <link href="https://cdn.waset.org/static/plugins/bootstrap-4.2.1/css/bootstrap.min.css" rel="stylesheet"> <link href="https://cdn.waset.org/static/plugins/fontawesome/css/all.min.css" rel="stylesheet"> <link href="https://cdn.waset.org/static/css/site.css?v=150220211555" rel="stylesheet"> </head> <body> <header> <div class="container"> <nav class="navbar navbar-expand-lg navbar-light"> <a class="navbar-brand" href="https://waset.org"> <img src="https://cdn.waset.org/static/images/wasetc.png" alt="Open Science Research 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class="container mt-4"> <div class="row"> <div class="col-md-9 mx-auto"> <form method="get" action="https://publications.waset.org/abstracts/search"> <div id="custom-search-input"> <div class="input-group"> <i class="fas fa-search"></i> <input type="text" class="search-query" name="q" placeholder="Author, Title, Abstract, Keywords" value="3-dimensional finite difference dynamic analysis"> <input type="submit" class="btn_search" value="Search"> </div> </div> </form> </div> </div> <div class="row mt-3"> <div class="col-sm-3"> <div class="card"> <div class="card-body"><strong>Commenced</strong> in January 2007</div> </div> </div> <div class="col-sm-3"> <div class="card"> <div class="card-body"><strong>Frequency:</strong> Monthly</div> </div> </div> <div class="col-sm-3"> <div class="card"> <div class="card-body"><strong>Edition:</strong> International</div> </div> </div> <div class="col-sm-3"> <div class="card"> <div class="card-body"><strong>Paper Count:</strong> 33964</div> </div> </div> </div> <h1 class="mt-3 mb-3 text-center" style="font-size:1.6rem;">Search results for: 3-dimensional finite difference dynamic analysis</h1> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">33964</span> Dynamic Test and Numerical Analysis of Twin Tunnel</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Changwon%20Kwak">Changwon Kwak</a>, <a href="https://publications.waset.org/abstracts/search?q=Innjoon%20Park"> Innjoon Park</a>, <a href="https://publications.waset.org/abstracts/search?q=Dongin%20Jang"> Dongin Jang</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Seismic load affects the behavior of underground structure like tunnel broadly. Seismic soil-structure interaction can play an important role in the dynamic behavior of tunnel. In this research, twin tunnel with flexible joint was physically modeled and the dynamic centrifuge test was performed to investigate seismic behavior of twin tunnel. Seismic waves have different frequency were exerted and the characteristics of response were obtained from the test. Test results demonstrated the amplification of peak acceleration in the longitudinal direction in seismic waves. The effect of the flexible joint was also verified. Additionally, 3-dimensional finite difference dynamic analysis was conducted and the analysis results exhibited good agreement with the test results. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=3-dimensional%20finite%20difference%20dynamic%20analysis" title="3-dimensional finite difference dynamic analysis">3-dimensional finite difference dynamic analysis</a>, <a href="https://publications.waset.org/abstracts/search?q=dynamic%20centrifuge%20test" title=" dynamic centrifuge test"> dynamic centrifuge test</a>, <a href="https://publications.waset.org/abstracts/search?q=flexible%20joint" title=" flexible joint"> flexible joint</a>, <a href="https://publications.waset.org/abstracts/search?q=seismic%20soil-structure%20interaction" title=" seismic soil-structure interaction"> seismic soil-structure interaction</a> </p> <a href="https://publications.waset.org/abstracts/47381/dynamic-test-and-numerical-analysis-of-twin-tunnel" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/47381.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">258</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">33963</span> Dynamic Analysis of Transmission Line Towers</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=L.%20Srikanth">L. Srikanth</a>, <a href="https://publications.waset.org/abstracts/search?q=D.%20Neelima%20Satyam"> D. Neelima Satyam</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The transmission line towers are one of the important life line structures in the distribution of power from the source to the various places for several purposes. The predominant external loads which act on these towers are wind and earthquake loads. In this present study tower is analyzed using Indian Standards IS: 875:1987 (Wind Load), IS: 802:1995 (Structural Steel), IS:1893:2002 (Earthquake) and dynamic analysis of tower has been performed considering ground motion of 2001 Bhuj Earthquake (India). The dynamic analysis was performed considering a tower system consisting two towers spaced 800m apart and 35m height each. This analysis has been performed using numerical time stepping finite difference method which is central difference method were employed by a developed MATLAB program to get the normalized ground motion parameters includes acceleration, frequency, velocity which are important in designing the tower. The tower is analyzed using response spectrum analysis. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=response%20spectra" title="response spectra">response spectra</a>, <a href="https://publications.waset.org/abstracts/search?q=dynamic%20analysis" title=" dynamic analysis"> dynamic analysis</a>, <a href="https://publications.waset.org/abstracts/search?q=central%20difference%20method" title=" central difference method"> central difference method</a>, <a href="https://publications.waset.org/abstracts/search?q=transmission%20tower" title=" transmission tower"> transmission tower</a> </p> <a href="https://publications.waset.org/abstracts/7863/dynamic-analysis-of-transmission-line-towers" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/7863.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">398</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">33962</span> Analysis of a Self-Acting Air Journal Bearing: Effect of Dynamic Deformation of Bump Foil</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=H.%20Bensouilah">H. Bensouilah</a>, <a href="https://publications.waset.org/abstracts/search?q=H.%20Boucherit"> H. Boucherit</a>, <a href="https://publications.waset.org/abstracts/search?q=M.%20Lahmar"> M. Lahmar</a> </p> <p class="card-text"><strong>Abstract:</strong></p> A theoretical investigation on the effects of both steady-state and dynamic deformations of the foils on the dynamic performance characteristics of a self-acting air foil journal bearing operating under small harmonic vibrations is proposed. To take into account the dynamic deformations of foils, the perturbation method is used for determining the gas-film stiffness and damping coefficients for given values of excitation frequency, compressibility number, and compliance factor of the bump foil. The nonlinear stationary Reynolds’ equation is solved by means of the Galerkins’ finite element formulation while the finite differences method are used to solve the first order complex dynamic equations resulting from the perturbation of the nonlinear transient compressible Reynolds’ equation. The stiffness of a bump is uniformly distributed throughout the bearing surface (generation I bearing). It was found that the dynamic properties of the compliant finite length journal bearing are significantly affected by the compliance of foils especially when the dynamic deformation of foils is considered in addition to the static one by applying the principle of superposition. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=elasto-aerodynamic%20lubrication" title="elasto-aerodynamic lubrication">elasto-aerodynamic lubrication</a>, <a href="https://publications.waset.org/abstracts/search?q=air%20foil%20bearing" title=" air foil bearing"> air foil bearing</a>, <a href="https://publications.waset.org/abstracts/search?q=steady-state%20deformation" title=" steady-state deformation"> steady-state deformation</a>, <a href="https://publications.waset.org/abstracts/search?q=dynamic%20deformation" title=" dynamic deformation"> dynamic deformation</a>, <a href="https://publications.waset.org/abstracts/search?q=stiffness%20and%20damping%20coefficients" title=" stiffness and damping coefficients"> stiffness and damping coefficients</a>, <a href="https://publications.waset.org/abstracts/search?q=perturbation%20method" title=" perturbation method"> perturbation method</a>, <a href="https://publications.waset.org/abstracts/search?q=fluid-structure%20interaction" title=" fluid-structure interaction"> fluid-structure interaction</a>, <a href="https://publications.waset.org/abstracts/search?q=Galerk%20infinite%20element%20method" title=" Galerk infinite element method"> Galerk infinite element method</a>, <a href="https://publications.waset.org/abstracts/search?q=finite%20difference%20method" title=" finite difference method"> finite difference method</a> </p> <a href="https://publications.waset.org/abstracts/14356/analysis-of-a-self-acting-air-journal-bearing-effect-of-dynamic-deformation-of-bump-foil" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/14356.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">392</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">33961</span> Numerical Modelling of Dry Stone Masonry Structures Based on Finite-Discrete Element Method</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=%C5%BD.%20Nikoli%C4%87">Ž. Nikolić</a>, <a href="https://publications.waset.org/abstracts/search?q=H.%20Smoljanovi%C4%87"> H. Smoljanović</a>, <a href="https://publications.waset.org/abstracts/search?q=N.%20%C5%BDivalji%C4%87"> N. Živaljić</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This paper presents numerical model based on finite-discrete element method for analysis of the structural response of dry stone masonry structures under static and dynamic loads. More precisely, each discrete stone block is discretized by finite elements. Material non-linearity including fracture and fragmentation of discrete elements as well as cyclic behavior during dynamic load are considered through contact elements which are implemented within a finite element mesh. The application of the model was conducted on several examples of these structures. The performed analysis shows high accuracy of the numerical results in comparison with the experimental ones and demonstrates the potential of the finite-discrete element method for modelling of the response of dry stone masonry structures. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=dry%20stone%20masonry%20structures" title="dry stone masonry structures">dry stone masonry structures</a>, <a href="https://publications.waset.org/abstracts/search?q=dynamic%20load" title=" dynamic load"> dynamic load</a>, <a href="https://publications.waset.org/abstracts/search?q=finite-discrete%20element%20method" title=" finite-discrete element method"> finite-discrete element method</a>, <a href="https://publications.waset.org/abstracts/search?q=static%20load" title=" static load"> static load</a> </p> <a href="https://publications.waset.org/abstracts/47740/numerical-modelling-of-dry-stone-masonry-structures-based-on-finite-discrete-element-method" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/47740.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">414</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">33960</span> Finite Element Analysis of Rom Silo Subjected to 5000 Tons Monotic Loads at an Anonymous Mine in Zimbabwe</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=T.%20Mushiri">T. Mushiri</a>, <a href="https://publications.waset.org/abstracts/search?q=K.%20Tengende"> K. Tengende</a>, <a href="https://publications.waset.org/abstracts/search?q=C.%20Mbohwa"> C. Mbohwa</a>, <a href="https://publications.waset.org/abstracts/search?q=T.%20Garikayi"> T. Garikayi</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This paper introduces finite element analysis of Run off Mine (ROM) silo subjected to dynamic loading. The proposed procedure is based on the use of theoretical equations to come up with pressure and forces exerted by Platinum Group Metals (PGMs) ore to the silo wall. Finite Element Analysis of the silo involves the use of CAD software (AutoCAD) for3D creation and CAE software (T-FLEX) for the simulation work with an optimization routine to minimize the mass and also ensure structural stiffness and stability. In this research an efficient way to design and analysis of a silo in 3D T-FLEX (CAD) program was created the silo to stay within the constrains and so as to know the points of failure due dynamic loading. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=reinforced%20concrete%20silo" title="reinforced concrete silo">reinforced concrete silo</a>, <a href="https://publications.waset.org/abstracts/search?q=finite%20element%20analysis" title=" finite element analysis"> finite element analysis</a>, <a href="https://publications.waset.org/abstracts/search?q=T-FLEX%20software" title=" T-FLEX software"> T-FLEX software</a>, <a href="https://publications.waset.org/abstracts/search?q=AutoCAD" title=" AutoCAD"> AutoCAD</a> </p> <a href="https://publications.waset.org/abstracts/12797/finite-element-analysis-of-rom-silo-subjected-to-5000-tons-monotic-loads-at-an-anonymous-mine-in-zimbabwe" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/12797.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">482</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">33959</span> EHD Effect on the Dynamic Characteristics of a Journal Bearing Lubricated with Couple Stress Fluids</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=B.%20Chetti">B. Chetti</a>, <a href="https://publications.waset.org/abstracts/search?q=W.%20A.%20Crosby"> W. A. Crosby </a> </p> <p class="card-text"><strong>Abstract:</strong></p> This paper presents a numerical analysis for the dynamic performance of a finite journal bearing lubricated with couple stress fluid taking into account the effect of the deformation of the bearing liner. The modified Reynolds equation has been solved by using finite difference technique. The dynamic characteristics in terms of stiffness coefficients, damping coefficients, critical mass and whirl ratio are evaluated for different values of eccentricity ratio and elastic coefficient for a journal bearing lubricated with a couple stress fluids and a Newtonian fluid. The results show that the dynamic characteristics of journal bearings lubricated with couple stress fluids are improved compared to journal bearings lubricated with Newtonian fluids. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=journal%20bearing" title="journal bearing">journal bearing</a>, <a href="https://publications.waset.org/abstracts/search?q=elastohydrodynamic" title=" elastohydrodynamic"> elastohydrodynamic</a>, <a href="https://publications.waset.org/abstracts/search?q=stability" title=" stability"> stability</a>, <a href="https://publications.waset.org/abstracts/search?q=couple%20stress" title=" couple stress"> couple stress</a> </p> <a href="https://publications.waset.org/abstracts/51446/ehd-effect-on-the-dynamic-characteristics-of-a-journal-bearing-lubricated-with-couple-stress-fluids" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/51446.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">362</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">33958</span> Dynamic Analysis of Double Deck Tunnel</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=C.%20W.%20Kwak">C. W. Kwak</a>, <a href="https://publications.waset.org/abstracts/search?q=I.%20J.%20Park"> I. J. Park</a>, <a href="https://publications.waset.org/abstracts/search?q=D.%20I.%20Jang"> D. I. Jang</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The importance of cost-wise effective application and construction is getting increase due to the surge of traffic volume in the metropolitan cities. Accordingly, the necessity of the tunnel has large section becomes more critical. Double deck tunnel can be one of the most appropriate solutions to the necessity. The dynamic stability of double deck tunnel is essential against seismic load since it has large section and connection between perimeter lining and interim slab. In this study, 3-dimensional dynamic numerical analysis was conducted based on the Finite Difference Method to investigate the seismic behavior of double deck tunnel. Seismic joint for dynamic stability and the mitigation of seismic impact on the lining was considered in the modeling and analysis. Consequently, the mitigation of acceleration, lining displacement and stress were verified successfully. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=double%20deck%20tunnel" title="double deck tunnel">double deck tunnel</a>, <a href="https://publications.waset.org/abstracts/search?q=interim%20slab" title=" interim slab"> interim slab</a>, <a href="https://publications.waset.org/abstracts/search?q=3-dimensional%20dynamic%20numerical%20analysis" title=" 3-dimensional dynamic numerical analysis"> 3-dimensional dynamic numerical analysis</a>, <a href="https://publications.waset.org/abstracts/search?q=seismic%20joint" title=" seismic joint "> seismic joint </a> </p> <a href="https://publications.waset.org/abstracts/33999/dynamic-analysis-of-double-deck-tunnel" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/33999.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">382</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">33957</span> Human-Induced Vibration and Degree of Human Comfortability Analysis of Intersection Pedestrian Bridge</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Yaowen%20Sheng">Yaowen Sheng</a>, <a href="https://publications.waset.org/abstracts/search?q=Jiuxian%20Liu"> Jiuxian Liu</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In order to analyze the pedestrian bridge dynamic characteristics and degree of comfortability, the finite element method and live load time history method is used to calculate the dynamic response of the bridge. The example bridge’s dynamic characteristics and degree of human comfortability need to be analyzed. The project background is a three-way intersection. The intersection has three side blocks. An intersection bridge is designed to help people cross the streets. The finite element model of the bridge is established by the Midas/Civil software, and the analysis of the model is done. The strength, stiffness, and stability checks are also completed. Apart from the static analysis of the bridge, the dynamic analysis of the bridge is also completed to avoid the problems resulted from vibrations. The results show that the pedestrian bridge has different dynamic characteristics compared to other normal bridges. The degree of human comfortability satisfies the requirements of Chinese and British specifications. The live load time history method can be used to calculate the dynamic response of the bridge. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=pedestrian%20bridge" title="pedestrian bridge">pedestrian bridge</a>, <a href="https://publications.waset.org/abstracts/search?q=steel%20box%20girder" title=" steel box girder"> steel box girder</a>, <a href="https://publications.waset.org/abstracts/search?q=human-induced%20vibration" title=" human-induced vibration"> human-induced vibration</a>, <a href="https://publications.waset.org/abstracts/search?q=finite%20element%20analysis" title=" finite element analysis"> finite element analysis</a>, <a href="https://publications.waset.org/abstracts/search?q=degree%20of%20human%20comfortability" title=" degree of human comfortability"> degree of human comfortability</a> </p> <a href="https://publications.waset.org/abstracts/128977/human-induced-vibration-and-degree-of-human-comfortability-analysis-of-intersection-pedestrian-bridge" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/128977.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">158</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">33956</span> Dynamic Relaxation and Isogeometric Analysis for Finite Deformation Elastic Sheets with Combined Bending and Stretching</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Nikhil%20%20Padhye">Nikhil Padhye</a>, <a href="https://publications.waset.org/abstracts/search?q=Ellen%20%20Kintz"> Ellen Kintz</a>, <a href="https://publications.waset.org/abstracts/search?q=Dan%20%20Dorci"> Dan Dorci</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Recent years have seen a rising interest in study and applications of materially uniform thin-structures (plates/shells) subject to finite-bending and stretching deformations. We introduce a well-posed 2D-model involving finite-bending and stretching of thin-structures to approximate the three-dimensional equilibria. Key features of this approach include: Non-Uniform Rational B-Spline (NURBS)-based spatial discretization for finite elements, method of dynamic relaxation to predict stable equilibria, and no a priori kinematic assumption on the deformation fields. The approach is validated against the benchmark problems,and the use of NURBS for spatial discretization facilitates exact spatial representation and computation of curvatures (due to C1-continuity of interpolated displacements) for this higher-order accuracy 2D-model. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=Isogeometric%20Analysis" title="Isogeometric Analysis">Isogeometric Analysis</a>, <a href="https://publications.waset.org/abstracts/search?q=Plates%2FShells" title=" Plates/Shells "> Plates/Shells </a>, <a href="https://publications.waset.org/abstracts/search?q=Finite%20Element%20Methods" title=" Finite Element Methods"> Finite Element Methods</a>, <a href="https://publications.waset.org/abstracts/search?q=Dynamic%20Relaxation" title=" Dynamic Relaxation"> Dynamic Relaxation</a> </p> <a href="https://publications.waset.org/abstracts/123757/dynamic-relaxation-and-isogeometric-analysis-for-finite-deformation-elastic-sheets-with-combined-bending-and-stretching" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/123757.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">168</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">33955</span> Finite Element Analysis of a Dynamic Linear Crack Problem</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Brian%20E.%20Usibe">Brian E. Usibe</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This paper addresses the problem of a linear crack located in the middle of a homogeneous elastic media under normal tension-compression harmonic loading. The problem of deformation of the fractured media is solved using the direct finite element numerical procedure, including the analysis of the dynamic field variables of the problem. A finite element algorithm that satisfies the unilateral Signorini contact constraint is also presented for the solution of the contact interaction of the crack faces and how this accounts for the qualitative and quantitative changes in the solution when determining the dynamic fracture parameter. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=harmonic%20loading" title="harmonic loading">harmonic loading</a>, <a href="https://publications.waset.org/abstracts/search?q=linear%20crack" title=" linear crack"> linear crack</a>, <a href="https://publications.waset.org/abstracts/search?q=fracture%20parameter" title=" fracture parameter"> fracture parameter</a>, <a href="https://publications.waset.org/abstracts/search?q=wave%20number" title=" wave number"> wave number</a>, <a href="https://publications.waset.org/abstracts/search?q=FEA" title=" FEA"> FEA</a>, <a href="https://publications.waset.org/abstracts/search?q=contact%20interaction" title=" contact interaction"> contact interaction</a> </p> <a href="https://publications.waset.org/abstracts/186593/finite-element-analysis-of-a-dynamic-linear-crack-problem" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/186593.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">42</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">33954</span> Localized Meshfree Methods for Solving 3D-Helmholtz Equation</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Reza%20Mollapourasl">Reza Mollapourasl</a>, <a href="https://publications.waset.org/abstracts/search?q=Majid%20Haghi"> Majid Haghi</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this study, we develop local meshfree methods known as radial basis function-generated finite difference (RBF-FD) method and Hermite finite difference (RBF-HFD) method to design stencil weights and spatial discretization for Helmholtz equation. The convergence and stability of schemes are investigated numerically in three dimensions with irregular shaped domain. These localized meshless methods incorporate the advantages of the RBF method, finite difference and Hermite finite difference methods to handle the ill-conditioning issue that often destroys the convergence rate of global RBF methods. Moreover, numerical illustrations show that the proposed localized RBF type methods are efficient and applicable for problems with complex geometries. The convergence and accuracy of both schemes are compared by solving a test problem. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=radial%20basis%20functions" title="radial basis functions">radial basis functions</a>, <a href="https://publications.waset.org/abstracts/search?q=Hermite%20finite%20difference" title=" Hermite finite difference"> Hermite finite difference</a>, <a href="https://publications.waset.org/abstracts/search?q=Helmholtz%20equation" title=" Helmholtz equation"> Helmholtz equation</a>, <a href="https://publications.waset.org/abstracts/search?q=stability" title=" stability"> stability</a> </p> <a href="https://publications.waset.org/abstracts/168736/localized-meshfree-methods-for-solving-3d-helmholtz-equation" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/168736.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">99</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">33953</span> Fractional Euler Method and Finite Difference Formula Using Conformable Fractional Derivative</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Ramzi%20B.%20Albadarneh">Ramzi B. Albadarneh</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this paper, we use the new definition of fractional derivative called conformable fractional derivative to derive some finite difference formulas and its error terms which are used to solve fractional differential equations and fractional partial differential equations, also to derive fractional Euler method and its error terms which can be applied to solve fractional differential equations. To provide the contribution of our work some applications on finite difference formulas and Euler Method are given. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=conformable%20fractional%20derivative" title="conformable fractional derivative">conformable fractional derivative</a>, <a href="https://publications.waset.org/abstracts/search?q=finite%20difference%20formula" title=" finite difference formula"> finite difference formula</a>, <a href="https://publications.waset.org/abstracts/search?q=fractional%20derivative" title=" fractional derivative"> fractional derivative</a>, <a href="https://publications.waset.org/abstracts/search?q=finite%20difference%20formula" title=" finite difference formula"> finite difference formula</a> </p> <a href="https://publications.waset.org/abstracts/37072/fractional-euler-method-and-finite-difference-formula-using-conformable-fractional-derivative" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/37072.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">439</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">33952</span> Using Finite Element to Predict Failure of Light Weight Bridges Due to Vehicles Impact: Case Study</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Amin%20H.%20Almasria">Amin H. Almasria</a>, <a href="https://publications.waset.org/abstracts/search?q=Rajai%20Z.%20Alrousanb"> Rajai Z. Alrousanb</a>, <a href="https://publications.waset.org/abstracts/search?q=Al-Harith%20Manasrah"> Al-Harith Manasrah</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The collapse of a light weight pedestrian bridges due to vehicle collision is investigated and studied in detail using a dynamic nonlinear finite element analysis. Typical bridge widely used in Jordan is studied and modeled under truck collision using one dimensional beam finite element in order to minimize analysis time due to the dynamic nature of the problem. Truck collision with the bridge is simulated at different speeds and locations of collisions using dynamic explicit finite element scheme with material nonlinearity taken into account. Energy absorption of bridge is investigated through principle of energy conservation, where truck kinetic energy is assumed to be stored in the bridge as strain energy. Weak failure points in the bridges were identified, and modifications are proposed in order to strengthen the bridge structure and prevent total collapse. The proposed design modifications on bridge structure were successful in allowing the bridge to fail locally rather than globally and expected to help in saving lives. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=finite%20element%20method" title="finite element method">finite element method</a>, <a href="https://publications.waset.org/abstracts/search?q=dynamic%20impact" title=" dynamic impact"> dynamic impact</a>, <a href="https://publications.waset.org/abstracts/search?q=pedestrian%20bridges" title=" pedestrian bridges"> pedestrian bridges</a>, <a href="https://publications.waset.org/abstracts/search?q=strain%20energy" title=" strain energy"> strain energy</a>, <a href="https://publications.waset.org/abstracts/search?q=collapse%20failure" title=" collapse failure"> collapse failure</a> </p> <a href="https://publications.waset.org/abstracts/20714/using-finite-element-to-predict-failure-of-light-weight-bridges-due-to-vehicles-impact-case-study" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/20714.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">624</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">33951</span> Stability Analysis of Three-Lobe Journal Bearing Lubricated with a Micropolar Fluids</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Boualem%20Chetti">Boualem Chetti</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The dynamic characteristics of a three-lobe journal bearing lubricated with micropolar fluids are determined by the linear stability theory. Lubricating oil containing additives and contaminants is modeled as micropolar fluid. The modified Reynolds equation is obtained using the micropolar lubrication theory and the finite difference technique has been used to solve it. The dynamic characteristics in terms of stiffness, damping coefficients, the critical mass and whirl ratio are determined for various values of size of material characteristic length and the coupling number. The computed results show compared with Newtonian fluids, that micropolar fluid exhibits better stability. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=three-lobe%20bearings" title="three-lobe bearings">three-lobe bearings</a>, <a href="https://publications.waset.org/abstracts/search?q=micropolar%20fluid" title=" micropolar fluid"> micropolar fluid</a>, <a href="https://publications.waset.org/abstracts/search?q=dynamic%20characteristics" title=" dynamic characteristics"> dynamic characteristics</a>, <a href="https://publications.waset.org/abstracts/search?q=stability%20analysis" title=" stability analysis"> stability analysis</a> </p> <a href="https://publications.waset.org/abstracts/12905/stability-analysis-of-three-lobe-journal-bearing-lubricated-with-a-micropolar-fluids" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/12905.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">361</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">33950</span> Dynamic Modeling of a Robot for Playing a Curved 3D Percussion Instrument Utilizing a Finite Element Method</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Prakash%20Persad">Prakash Persad</a>, <a href="https://publications.waset.org/abstracts/search?q=Kelvin%20Loutan"> Kelvin Loutan</a>, <a href="https://publications.waset.org/abstracts/search?q=Trichelle%20Seepersad"> Trichelle Seepersad</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The Finite Element Method is commonly used in the analysis of flexible manipulators to predict elastic displacements and develop joint control schemes for reducing positioning error. In order to preserve simplicity, regular geometries, ideal joints and connections are assumed. This paper presents the dynamic FE analysis of a 4- degrees of freedom open chain manipulator, intended for striking a curved 3D surface percussion musical instrument. This was done utilizing the new MultiBody Dynamics Module in COMSOL, capable of modeling the elastic behavior of a body undergoing rigid body type motion. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=dynamic%20modeling" title="dynamic modeling">dynamic modeling</a>, <a href="https://publications.waset.org/abstracts/search?q=entertainment%20robots" title=" entertainment robots"> entertainment robots</a>, <a href="https://publications.waset.org/abstracts/search?q=finite%20element%20method" title=" finite element method"> finite element method</a>, <a href="https://publications.waset.org/abstracts/search?q=flexible%20robot%20manipulators" title=" flexible robot manipulators"> flexible robot manipulators</a>, <a href="https://publications.waset.org/abstracts/search?q=multibody%20dynamics" title=" multibody dynamics"> multibody dynamics</a>, <a href="https://publications.waset.org/abstracts/search?q=musical%20robots" title=" musical robots"> musical robots</a> </p> <a href="https://publications.waset.org/abstracts/9382/dynamic-modeling-of-a-robot-for-playing-a-curved-3d-percussion-instrument-utilizing-a-finite-element-method" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/9382.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">337</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">33949</span> Dynamic Analysis of Viscoelastic Plates with Variable Thickness</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=G%C3%BCl%C3%A7in%20Tekin">Gülçin Tekin</a>, <a href="https://publications.waset.org/abstracts/search?q=Fethi%20Kad%C4%B1o%C4%9Flu"> Fethi Kadıoğlu</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this study, the dynamic analysis of viscoelastic plates with variable thickness is examined. The solutions of dynamic response of viscoelastic thin plates with variable thickness have been obtained by using the functional analysis method in the conjunction with the Gâteaux differential. The four-node serendipity element with four degrees of freedom such as deflection, bending, and twisting moments at each node is used. Additionally, boundary condition terms are included in the functional by using a systematic way. In viscoelastic modeling, Three-parameter Kelvin solid model is employed. The solutions obtained in the Laplace-Carson domain are transformed to the real time domain by using MDOP, Dubner & Abate, and Durbin inverse transform techniques. To test the performance of the proposed mixed finite element formulation, numerical examples are treated. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=dynamic%20analysis" title="dynamic analysis">dynamic analysis</a>, <a href="https://publications.waset.org/abstracts/search?q=inverse%20laplace%20transform%20techniques" title=" inverse laplace transform techniques"> inverse laplace transform techniques</a>, <a href="https://publications.waset.org/abstracts/search?q=mixed%20finite%20element%20formulation" title=" mixed finite element formulation"> mixed finite element formulation</a>, <a href="https://publications.waset.org/abstracts/search?q=viscoelastic%20plate%20with%20variable%20thickness" title=" viscoelastic plate with variable thickness"> viscoelastic plate with variable thickness</a> </p> <a href="https://publications.waset.org/abstracts/43270/dynamic-analysis-of-viscoelastic-plates-with-variable-thickness" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/43270.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">331</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">33948</span> A Non-Standard Finite Difference Scheme for the Solution of Laplace Equation with Dirichlet Boundary Conditions</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Khaled%20Moaddy">Khaled Moaddy</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this paper, we present a fast and accurate numerical scheme for the solution of a Laplace equation with Dirichlet boundary conditions. The non-standard finite difference scheme (NSFD) is applied to construct the numerical solutions of a Laplace equation with two different Dirichlet boundary conditions. The solutions obtained using NSFD are compared with the solutions obtained using the standard finite difference scheme (SFD). The NSFD scheme is demonstrated to be reliable and efficient. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=standard%20finite%20difference%20schemes" title="standard finite difference schemes">standard finite difference schemes</a>, <a href="https://publications.waset.org/abstracts/search?q=non-standard%20schemes" title=" non-standard schemes"> non-standard schemes</a>, <a href="https://publications.waset.org/abstracts/search?q=Laplace%20equation" title=" Laplace equation"> Laplace equation</a>, <a href="https://publications.waset.org/abstracts/search?q=Dirichlet%20boundary%20conditions" title=" Dirichlet boundary conditions"> Dirichlet boundary conditions</a> </p> <a href="https://publications.waset.org/abstracts/119718/a-non-standard-finite-difference-scheme-for-the-solution-of-laplace-equation-with-dirichlet-boundary-conditions" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/119718.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">132</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">33947</span> Numerical Study of Dynamic Buckling of Fiber Metal Laminates's Profile</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Monika%20Kamocka">Monika Kamocka</a>, <a href="https://publications.waset.org/abstracts/search?q=Radoslaw%20Mania"> Radoslaw Mania</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The design of Fiber Metal Laminates - combining thin aluminum sheets and prepreg layers, allows creating a hybrid structure with high strength to weight ratio. This feature makes FMLs very attractive for aerospace industry, where thin-walled structures are commonly used. Nevertheless, those structures are prone to buckling phenomenon. Buckling could occur also under static load as well as dynamic pulse loads. In this paper, the problem of dynamic buckling of open cross-section FML profiles under axial dynamic compression in the form of pulse load of finite duration is investigated. In the numerical model, material properties of FML constituents were assumed as nonlinear elastic-plastic aluminum and linear-elastic glass-fiber-reinforced composite. The influence of pulse shape was investigated. Sinusoidal and rectangular pulse loads of finite duration were compared in two ways, i.e. with respect to magnitude and force pulse. The dynamic critical buckling load was determined based on Budiansky-Hutchinson, Ari Gur, and Simonetta dynamic buckling criteria. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=dynamic%20buckling" title="dynamic buckling">dynamic buckling</a>, <a href="https://publications.waset.org/abstracts/search?q=dynamic%20stability" title=" dynamic stability"> dynamic stability</a>, <a href="https://publications.waset.org/abstracts/search?q=Fiber%20Metal%20Laminate" title=" Fiber Metal Laminate"> Fiber Metal Laminate</a>, <a href="https://publications.waset.org/abstracts/search?q=Finite%20Element%20Method" title=" Finite Element Method"> Finite Element Method</a> </p> <a href="https://publications.waset.org/abstracts/97234/numerical-study-of-dynamic-buckling-of-fiber-metal-laminatess-profile" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/97234.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">194</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">33946</span> Finite Difference Method of the Seismic Analysis of Earth Dam</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Alaoua%20Bouaicha">Alaoua Bouaicha</a>, <a href="https://publications.waset.org/abstracts/search?q=Fahim%20Kahlouche"> Fahim Kahlouche</a>, <a href="https://publications.waset.org/abstracts/search?q=Abdelhamid%20Benouali"> Abdelhamid Benouali</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Many embankment dams have suffered failures during earthquakes due to the increase of pore water pressure under seismic loading. After analyzing of the behavior of embankment dams under severe earthquakes, major advances have been attained in the understanding of the seismic action on dams. The present study concerns numerical analysis of the seismic response of earth dams. The procedure uses a nonlinear stress-strain relation incorporated into the code FLAC2D based on the finite difference method. This analysis provides the variation of the pore water pressure and horizontal displacement. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=Earthquake" title="Earthquake">Earthquake</a>, <a href="https://publications.waset.org/abstracts/search?q=Numerical%20Analysis" title=" Numerical Analysis"> Numerical Analysis</a>, <a href="https://publications.waset.org/abstracts/search?q=FLAC2D" title=" FLAC2D"> FLAC2D</a>, <a href="https://publications.waset.org/abstracts/search?q=Displacement" title=" Displacement"> Displacement</a>, <a href="https://publications.waset.org/abstracts/search?q=Embankment%20Dam" title=" Embankment Dam"> Embankment Dam</a>, <a href="https://publications.waset.org/abstracts/search?q=Pore%20Water%20Pressure" title=" Pore Water Pressure"> Pore Water Pressure</a> </p> <a href="https://publications.waset.org/abstracts/43538/finite-difference-method-of-the-seismic-analysis-of-earth-dam" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/43538.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">379</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">33945</span> Analysis of the Influence of Support Failure on the Dynamic Effect of Bridge Structure</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Sun%20Fan">Sun Fan</a>, <a href="https://publications.waset.org/abstracts/search?q=Wu%20Xiaoguang"> Wu Xiaoguang</a>, <a href="https://publications.waset.org/abstracts/search?q=Fang%20Miaomiao"> Fang Miaomiao</a>, <a href="https://publications.waset.org/abstracts/search?q=Wei%20Chi"> Wei Chi</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The degree of damage to the support is simulated by finite element software, and its influence on the static and dynamic effects of the bridge structure is analyzed. Four working conditions are selected for the study of bearing damage impact: the bearing is intact (condition 1), the bearing damage coefficient is 0.8 (condition 2), the bearing damage coefficient is 0.6 (condition 3), and the bearing damage coefficient is 0.4 (Working Condition 4). The effect value of the bridge structure under each working condition is calculated, and the simple-supported girder bridge and continuous girder bridge with typical spans are taken as examples to analyze the overall change of the bridge structure after the bearing completely fails. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=bridge%20bearing%20damage" title="bridge bearing damage">bridge bearing damage</a>, <a href="https://publications.waset.org/abstracts/search?q=dynamic%20response" title=" dynamic response"> dynamic response</a>, <a href="https://publications.waset.org/abstracts/search?q=finite%20element%20analysis" title=" finite element analysis"> finite element analysis</a>, <a href="https://publications.waset.org/abstracts/search?q=load%20conditions" title=" load conditions"> load conditions</a> </p> <a href="https://publications.waset.org/abstracts/138578/analysis-of-the-influence-of-support-failure-on-the-dynamic-effect-of-bridge-structure" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/138578.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">230</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">33944</span> Numerical and Experimental Analysis of Rotor Dynamic Stability</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=A.%20Chellil">A. Chellil</a>, <a href="https://publications.waset.org/abstracts/search?q=A.%20Nour"> A. Nour</a>, <a href="https://publications.waset.org/abstracts/search?q=S.%20Lecheb"> S. Lecheb </a>, <a href="https://publications.waset.org/abstracts/search?q=H.%20Mechakra"> H. Mechakra</a>, <a href="https://publications.waset.org/abstracts/search?q=A.%20Bouderba"> A. Bouderba</a>, <a href="https://publications.waset.org/abstracts/search?q=H.%20Kebir"> H. Kebir</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The study of the rotor dynamic in transient system allowed to determine the vibratory responses due to various excitations. This work presents a coupled gyroscopic effect in the defects of a rotor under dynamic loading. Calculations of different energies and virtual work from the various elements of the rotor are developed. To treat real systems a model of finite element was developed. This model of the rotor makes it possible to extract the frequencies and modal deformed, and to calculate the stresses in the critical zone. The study of the rotor in transient system allowed to determine the vibratory responses due to the unbalances, crack and various excitations. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=rotor" title="rotor">rotor</a>, <a href="https://publications.waset.org/abstracts/search?q=defect" title=" defect"> defect</a>, <a href="https://publications.waset.org/abstracts/search?q=finite%20element" title=" finite element"> finite element</a>, <a href="https://publications.waset.org/abstracts/search?q=numerical" title=" numerical"> numerical</a> </p> <a href="https://publications.waset.org/abstracts/18589/numerical-and-experimental-analysis-of-rotor-dynamic-stability" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/18589.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">460</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">33943</span> Fast and Accurate Finite-Difference Method Solving Multicomponent Smoluchowski Coagulation Equation</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Alexander%20P.%20Smirnov">Alexander P. Smirnov</a>, <a href="https://publications.waset.org/abstracts/search?q=Sergey%20A.%20Matveev"> Sergey A. Matveev</a>, <a href="https://publications.waset.org/abstracts/search?q=Dmitry%20A.%20Zheltkov"> Dmitry A. Zheltkov</a>, <a href="https://publications.waset.org/abstracts/search?q=Eugene%20E.%20Tyrtyshnikov"> Eugene E. Tyrtyshnikov</a> </p> <p class="card-text"><strong>Abstract:</strong></p> We propose a new computational technique for multidimensional (multicomponent) Smoluchowski coagulation equation. Using low-rank approximations in Tensor Train format of both the solution and the coagulation kernel, we accelerate the classical finite-difference Runge-Kutta scheme keeping its level of accuracy. The complexity of the taken finite-difference scheme is reduced from O(N^2d) to O(d^2 N log N ), where N is the number of grid nodes and d is a dimensionality of the problem. The efficiency and the accuracy of the new method are demonstrated on concrete problem with known analytical solution. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=tensor%20train%20decomposition" title="tensor train decomposition">tensor train decomposition</a>, <a href="https://publications.waset.org/abstracts/search?q=multicomponent%20Smoluchowski%20equation" title=" multicomponent Smoluchowski equation"> multicomponent Smoluchowski equation</a>, <a href="https://publications.waset.org/abstracts/search?q=runge-kutta%20scheme" title=" runge-kutta scheme"> runge-kutta scheme</a>, <a href="https://publications.waset.org/abstracts/search?q=convolution" title=" convolution"> convolution</a> </p> <a href="https://publications.waset.org/abstracts/40417/fast-and-accurate-finite-difference-method-solving-multicomponent-smoluchowski-coagulation-equation" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/40417.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">432</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">33942</span> Study on Sharp V-Notch Problem under Dynamic Loading Condition Using Symplectic Analytical Singular Element</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Xiaofei%20Hu">Xiaofei Hu</a>, <a href="https://publications.waset.org/abstracts/search?q=Zhiyu%20Cai"> Zhiyu Cai</a>, <a href="https://publications.waset.org/abstracts/search?q=Weian%20Yao"> Weian Yao</a> </p> <p class="card-text"><strong>Abstract:</strong></p> V-notch problem under dynamic loading condition is considered in this paper. In the time domain, the precise time domain expanding algorithm is employed, in which a self-adaptive technique is carried out to improve computing accuracy. By expanding variables in each time interval, the recursive finite element formulas are derived. In the space domain, a Symplectic Analytical Singular Element (SASE) for V-notch problem is constructed addressing the stress singularity of the notch tip. Combining with the conventional finite elements, the proposed SASE can be used to solve the dynamic stress intensity factors (DSIFs) in a simple way. Numerical results show that the proposed SASE for V-notch problem subjected to dynamic loading condition is effective and efficient. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=V-notch" title="V-notch">V-notch</a>, <a href="https://publications.waset.org/abstracts/search?q=dynamic%20stress%20intensity%20factor" title=" dynamic stress intensity factor"> dynamic stress intensity factor</a>, <a href="https://publications.waset.org/abstracts/search?q=finite%20element%20method" title=" finite element method"> finite element method</a>, <a href="https://publications.waset.org/abstracts/search?q=precise%20time%20domain%20expanding%20algorithm" title=" precise time domain expanding algorithm"> precise time domain expanding algorithm</a> </p> <a href="https://publications.waset.org/abstracts/83948/study-on-sharp-v-notch-problem-under-dynamic-loading-condition-using-symplectic-analytical-singular-element" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/83948.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">172</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">33941</span> Forced Vibration of a Planar Curved Beam on Pasternak Foundation</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Akif%20Kutlu">Akif Kutlu</a>, <a href="https://publications.waset.org/abstracts/search?q=Merve%20Ermis"> Merve Ermis</a>, <a href="https://publications.waset.org/abstracts/search?q=Nihal%20Eratl%C4%B1"> Nihal Eratlı</a>, <a href="https://publications.waset.org/abstracts/search?q=Mehmet%20H.%20Omurtag"> Mehmet H. Omurtag</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The objective of this study is to investigate the forced vibration analysis of a planar curved beam lying on elastic foundation by using the mixed finite element method. The finite element formulation is based on the Timoshenko beam theory. In order to solve the problems in frequency domain, the element matrices of two nodded curvilinear elements are transformed into Laplace space. The results are transformed back to the time domain by the well-known numerical Modified Durbin’s transformation algorithm. First, the presented finite element formulation is verified through the forced vibration analysis of a planar curved Timoshenko beam resting on Winkler foundation and the finite element results are compared with the results available in the literature. Then, the forced vibration analysis of a planar curved beam resting on Winkler-Pasternak foundation is conducted. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=curved%20beam" title="curved beam">curved beam</a>, <a href="https://publications.waset.org/abstracts/search?q=dynamic%20analysis" title=" dynamic analysis"> dynamic analysis</a>, <a href="https://publications.waset.org/abstracts/search?q=elastic%20foundation" title=" elastic foundation"> elastic foundation</a>, <a href="https://publications.waset.org/abstracts/search?q=finite%20element%20method" title=" finite element method"> finite element method</a> </p> <a href="https://publications.waset.org/abstracts/73716/forced-vibration-of-a-planar-curved-beam-on-pasternak-foundation" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/73716.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">345</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">33940</span> Quasi-Static Analysis of End Plate Beam-to-Column Connections</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=A.%20Al-Rifaie">A. Al-Rifaie</a>, <a href="https://publications.waset.org/abstracts/search?q=Z.%20W.%20Guan"> Z. W. Guan</a>, <a href="https://publications.waset.org/abstracts/search?q=S.%20W.%20Jones"> S. W. Jones</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This paper presents a method for modelling and analysing end plate beam-to-column connections to obtain the quasi-static behaviour using non-linear dynamic explicit integration. In addition to its importance to study the static behaviour of a structural member, quasi-static behaviour is largely needed to be compared with the dynamic behaviour of such members in order to investigate the dynamic effect by proposing dynamic increase factors (DIFs). The beam-to-column bolted connections contain various contact surfaces at which the implicit procedure may have difficulties converging, resulting in a large number of iterations. Contrary, explicit procedure could deal effectively with complex contacts without converging problems. Hence, finite element modelling using ABAQUS/explicit is used in this study to address the dynamic effect may be produced using explicit procedure. Also, the effect of loading rate and mass scaling are discussed to investigate their effect on the time of analysis. The results show that the explicit procedure is valuable to model the end plate beam-to-column connections in terms of failure mode, load-displacement relationships. Also, it is concluded that loading rate and mass scaling should be carefully selected to avoid the dynamic effect in the solution. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=quasi-static" title="quasi-static">quasi-static</a>, <a href="https://publications.waset.org/abstracts/search?q=end%20plate" title=" end plate"> end plate</a>, <a href="https://publications.waset.org/abstracts/search?q=finite%20elements" title=" finite elements"> finite elements</a>, <a href="https://publications.waset.org/abstracts/search?q=connections" title=" connections"> connections</a> </p> <a href="https://publications.waset.org/abstracts/73321/quasi-static-analysis-of-end-plate-beam-to-column-connections" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/73321.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">307</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">33939</span> Evaluation of Dynamic Behavior of a Rotor-Bearing System in Operating Conditions</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Mohammad%20Hadi%20Jalali">Mohammad Hadi Jalali</a>, <a href="https://publications.waset.org/abstracts/search?q=Behrooz%20Shahriari"> Behrooz Shahriari</a>, <a href="https://publications.waset.org/abstracts/search?q=Mostafa%20Ghayour"> Mostafa Ghayour</a>, <a href="https://publications.waset.org/abstracts/search?q=Saeed%20Ziaei-Rad"> Saeed Ziaei-Rad</a>, <a href="https://publications.waset.org/abstracts/search?q=Shahram%20Yousefi"> Shahram Yousefi</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Most flexible rotors can be considered as beam-like structures. In many cases, rotors are modeled as one-dimensional bodies, made basically of beam-like shafts with rigid bodies attached to them. This approach is typical of rotor dynamics, both analytical and numerical, and several rotor dynamic codes, based on the finite element method, follow this trend. In this paper, a finite element model based on Timoshenko beam elements is utilized to analyze the lateral dynamic behavior of a certain rotor-bearing system in operating conditions. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=finite%20element%20method" title="finite element method">finite element method</a>, <a href="https://publications.waset.org/abstracts/search?q=Timoshenko%20beam%20elements" title=" Timoshenko beam elements"> Timoshenko beam elements</a>, <a href="https://publications.waset.org/abstracts/search?q=operational%20deflection%20shape" title=" operational deflection shape"> operational deflection shape</a>, <a href="https://publications.waset.org/abstracts/search?q=unbalance%20response" title=" unbalance response"> unbalance response</a> </p> <a href="https://publications.waset.org/abstracts/14182/evaluation-of-dynamic-behavior-of-a-rotor-bearing-system-in-operating-conditions" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/14182.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">428</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">33938</span> Finite Element Analysis of Oil-Lubricated Elliptical Journal Bearings</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Marco%20Tulio%20C.%20Faria">Marco Tulio C. Faria</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Fixed-geometry hydrodynamic journal bearings are one of the best supporting systems for several applications of rotating machinery. Cylindrical journal bearings present excellent load-carrying capacity and low manufacturing costs, but they are subjected to the oil-film instability at high speeds. An attempt of overcoming this instability problem has been the development of non-circular journal bearings. This work deals with an analysis of oil-lubricated elliptical journal bearings using the finite element method. Steady-state and dynamic performance characteristics of elliptical bearings are rendered by zeroth- and first-order lubrication equations obtained through a linearized perturbation method applied on the classical Reynolds equation. Four-node isoparametric rectangular finite elements are employed to model the bearing thin film flow. Curves of elliptical bearing load capacity and dynamic force coefficients are rendered at several operating conditions. The results presented in this work demonstrate the influence of the bearing ellipticity on its performance at different loading conditions. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=elliptical%20journal%20bearings" title="elliptical journal bearings">elliptical journal bearings</a>, <a href="https://publications.waset.org/abstracts/search?q=non-circular%20journal%20bearings" title=" non-circular journal bearings"> non-circular journal bearings</a>, <a href="https://publications.waset.org/abstracts/search?q=hydrodynamic%20bearings" title=" hydrodynamic bearings"> hydrodynamic bearings</a>, <a href="https://publications.waset.org/abstracts/search?q=finite%20element%20method" title=" finite element method "> finite element method </a> </p> <a href="https://publications.waset.org/abstracts/19784/finite-element-analysis-of-oil-lubricated-elliptical-journal-bearings" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/19784.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">450</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">33937</span> Static and Dynamic Analysis on a Buddhism Goddess Guanyin in Shuangyashan</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Gong%20Kangming">Gong Kangming</a>, <a href="https://publications.waset.org/abstracts/search?q=Zhao%20Caiqi"> Zhao Caiqi</a> </p> <p class="card-text"><strong>Abstract:</strong></p> High-rise special-shaped structure, such as main frame structure of the statues, is one of the structure forms in irregular structure widely used. Due to the complex shape of the statue structure, with a large aspect ratio, its wind load value and the overall mechanical properties are very different from the high-rise buildings with the general rules. The paper taking a certain 48 meters high main frame structure of the statue located in Shuangyashan City, Heilongjiang Province, static and dynamic properties are analyzed by the finite element software. Through static and dynamic analysis, it got a number of useful conclusions that have a certain reference value for the analysis and design of the future similar structure. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=a%20Buddhism%20goddess%20Guanyin%20body" title="a Buddhism goddess Guanyin body">a Buddhism goddess Guanyin body</a>, <a href="https://publications.waset.org/abstracts/search?q=wind%20load" title=" wind load"> wind load</a>, <a href="https://publications.waset.org/abstracts/search?q=dynamic%20analysis" title=" dynamic analysis"> dynamic analysis</a>, <a href="https://publications.waset.org/abstracts/search?q=bolster" title=" bolster"> bolster</a>, <a href="https://publications.waset.org/abstracts/search?q=node%20design" title=" node design"> node design</a> </p> <a href="https://publications.waset.org/abstracts/31816/static-and-dynamic-analysis-on-a-buddhism-goddess-guanyin-in-shuangyashan" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/31816.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">467</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">33936</span> Aeroelastic Analysis of Engine Nacelle Strake Considering Geometric Nonlinear Behavior</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=N.%20Manoj">N. Manoj</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The aeroelastic behavior of engine nacelle strake when subjected to unsteady aerodynamic flows is investigated in this paper. Geometric nonlinear characteristics and modal parameters of nacelle strake are studied when it is under dynamic loading condition. Here, an N-S based Finite Volume solver is coupled with Finite Element (FE) based nonlinear structural solver to investigate the nonlinear characteristics of nacelle strake over a range of dynamic pressures at various phases of flight like takeoff, climb, and cruise conditions. The combination of high fidelity models for both aerodynamics and structural dynamics is used to predict the nonlinearities of strake (chine). The methodology adopted for present aeroelastic analysis is partitioned-based time domain coupled CFD and CSD solvers and it is validated by the consideration of experimental and numerical comparison of aeroelastic data for a cropped delta wing model which has a proven record. The present strake geometry is derived from theoretical formulation. The amplitude and frequency obtained from the coupled solver at various dynamic pressures is discussed, which gives a better understanding of its impact on aerodynamic design-sizing of strake. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=aeroelasticity" title="aeroelasticity">aeroelasticity</a>, <a href="https://publications.waset.org/abstracts/search?q=finite%20volume" title=" finite volume"> finite volume</a>, <a href="https://publications.waset.org/abstracts/search?q=geometric%20nonlinearity" title=" geometric nonlinearity"> geometric nonlinearity</a>, <a href="https://publications.waset.org/abstracts/search?q=limit%20cycle%20oscillations" title=" limit cycle oscillations"> limit cycle oscillations</a>, <a href="https://publications.waset.org/abstracts/search?q=strake" title=" strake"> strake</a> </p> <a href="https://publications.waset.org/abstracts/75780/aeroelastic-analysis-of-engine-nacelle-strake-considering-geometric-nonlinear-behavior" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/75780.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">284</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">33935</span> Electromagnetic Wave Propagation Equations in 2D by Finite Difference Method</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=N.%20Fusun%20Oyman%20Serteller">N. Fusun Oyman Serteller</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this paper, the techniques to solve time dependent electromagnetic wave propagation equations based on the Finite Difference Method (FDM) are proposed by comparing the results with Finite Element Method (FEM) in 2D while discussing some special simulation examples.  Here, 2D dynamical wave equations for lossy media, even with a constant source, are discussed for establishing symbolic manipulation of wave propagation problems. The main objective of this contribution is to introduce a comparative study of two suitable numerical methods and to show that both methods can be applied effectively and efficiently to all types of wave propagation problems, both linear and nonlinear cases, by using symbolic computation. However, the results show that the FDM is more appropriate for solving the nonlinear cases in the symbolic solution. Furthermore, some specific complex domain examples of the comparison of electromagnetic waves equations are considered. Calculations are performed through Mathematica software by making some useful contribution to the programme and leveraging symbolic evaluations of FEM and FDM. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=finite%20difference%20method" title="finite difference method">finite difference method</a>, <a href="https://publications.waset.org/abstracts/search?q=finite%20element%20method" title=" finite element method"> finite element method</a>, <a href="https://publications.waset.org/abstracts/search?q=linear-nonlinear%20PDEs" title=" linear-nonlinear PDEs"> linear-nonlinear PDEs</a>, <a href="https://publications.waset.org/abstracts/search?q=symbolic%20computation" title=" symbolic computation"> symbolic computation</a>, <a href="https://publications.waset.org/abstracts/search?q=wave%20propagation%20equations" title=" wave propagation equations"> wave propagation equations</a> </p> <a href="https://publications.waset.org/abstracts/107982/electromagnetic-wave-propagation-equations-in-2d-by-finite-difference-method" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/107982.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">147</span> </span> </div> </div> <ul class="pagination"> <li class="page-item disabled"><span class="page-link">&lsaquo;</span></li> <li class="page-item active"><span class="page-link">1</span></li> <li class="page-item"><a class="page-link" href="https://publications.waset.org/abstracts/search?q=3-dimensional%20finite%20difference%20dynamic%20analysis&page=2">2</a></li> <li class="page-item"><a class="page-link" href="https://publications.waset.org/abstracts/search?q=3-dimensional%20finite%20difference%20dynamic%20analysis&page=3">3</a></li> <li class="page-item"><a class="page-link" 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