Piezoelectric Patches for Deflection Control of Functionally Graded Carbon Nanotube-Reinforced Composite Plates

<!DOCTYPE html> <html lang="en" dir="ltr"> <head> <meta name="format-detection" content="telephone=no"> <meta name="viewport" content="width=device-width, initial-scale=1.0" /> <meta charset="utf-8"> <meta http-equiv="X-UA-Compatible" content="IE=edge"> <link rel="canonical" href="https://www.scientific.net/AMM.913.3" /> <meta property="og:title" content="Piezoelectric Patches for Deflection Control of Functionally Graded Carbon Nanotube-Reinforced Composite Plates | Scientific.Net" /> <meta property="og:type" content="website" /> <meta property="og:url" content="https://www.scientific.net/AMM.913.3" /> <meta property="og:image" content="/Content/app/scinet5/images/metadata_logo.png" /> <meta property="og:image:type" content="image/png" /> <meta property="og:image:width" content="261" /> <meta property="og:image:height" content="260" /> <meta property="og:image:alt" content="Scientific.Net Logo" /> <meta name="citation_language" content="en" /> <meta name="citation_publisher" content="Trans Tech Publications Ltd" /> <meta name="citation_title" content="Piezoelectric Patches for Deflection Control of Functionally Graded Carbon Nanotube-Reinforced Composite Plates" /> <meta name="citation_publication_date" content="2023" /> <meta name="citation_online_date" content="2023/03/03" /> <meta name="citation_journal_title" content="Applied Mechanics and Materials" /> <meta name="citation_issn" content="1662-7482" /> <meta name="citation_volume" content="913" /> <meta name="citation_firstpage" content="3" /> <meta name="citation_lastpage" content="14" /> <meta name="citation_pdf_url" content="https://www.scientific.net/AMM.913.3.pdf" /> <meta name="citation_abstract_html_url" content="https://www.scientific.net/AMM.913.3" /> <meta name="citation_keywords" content="Carbon Nanotube;Functionally Graded Material;Piezoelectricity;Vibration Control" /> <meta name="citation_doi" content="10.4028/p-109719" /> <meta name="citation_author" content="Madjid Ezzraimi" /> <meta name="citation_author" content="Mohammed Essidik Lazar" /> <meta name="citation_author" content="Rachid Tiberkak" /> <meta name="citation_author" content="Yasser Chiker" /> <meta name="citation_author" content="Morad Bachene" /> <meta name="citation_author" content="Said Rechak" /> <meta name="citation_reference" content="citation_title=The Exploitation of Polymer Based Nanocomposites for Additive Manufacturing: A Prospective Review; citation_author=Imran Khan; citation_author=Christina S. Kamma-Lorger; citation_author=Saeed D. Mohan; citation_author=Artur Mateus; citation_author=Geoffrey R. Mitchell; citation_volume=890; citation_publication_date=2019/4; citation_pages=113-145; citation_doi=10.4028/www.scientific.net/amm.890.113" /> <meta name="citation_reference" content="citation_title=Direct Digital Manufacturing of Nanocomposites; citation_author=Saeed D. Mohan; citation_author=Meruyert Nazhipkyzy; citation_author=Pedro Carreira; citation_author=Cyril Santos; citation_author=Fred J. Davis; citation_author=Artur Mateus; citation_author=Geoffrey R. Mitchell; citation_volume=890; citation_publication_date=2019/4; citation_pages=92-97; citation_doi=10.4028/www.scientific.net/amm.890.92" /> <meta name="citation_reference" content="citation_title=Carbon Nanotubes and Their Growth Methods; citation_author=Rajesh Purohit; citation_author=Kuldeep Purohit; citation_author=Saraswati Rana; citation_author=R.S. Rana; citation_author=Vivek Patel; citation_volume=6; citation_publication_date=2014; citation_pages=716-728; citation_doi=10.1016/j.mspro.2014.07.088" /> <meta name="citation_reference" content="citation_title=Nonlinear vibration and bending of sandwich plates with nanotube-reinforced composite face sheets; citation_author=Zhen-Xin Wang; citation_author=Hui-Shen Shen; citation_volume=43; citation_issue=2; citation_publication_date=2012/3; citation_pages=411-421; citation_doi=10.1016/j.compositesb.2011.04.040" /> <meta name="citation_reference" content="citation_title=Static and free vibration analyses of carbon nanotube-reinforced composite plates using finite element method with first order shear deformation plate theory; citation_author=Ping Zhu; citation_author=Z.X. Lei; citation_author=K.M. Liew; citation_volume=94; citation_issue=4; citation_publication_date=2012/3; citation_pages=1450-1460; citation_doi=10.1016/j.compstruct.2011.11.010" /> <meta name="citation_reference" content="citation_title=Bending and free vibration analyses of antisymmetrically laminated carbon nanotube-reinforced functionally graded plates; citation_author=Bin Huang; citation_author=Yan Guo; citation_author=Ji Wang; citation_author=Jianke Du; citation_author=Zhenghua Qian; citation_author=Tingfeng Ma; citation_author=Lijun Yi; citation_volume=51; citation_issue=22; citation_publication_date=2016/12/20; citation_pages=3111-3125; citation_doi=10.1177/0021998316685165" /> <meta name="citation_reference" content="citation_title=Isogeometric analysis of functionally graded carbon nanotube reinforced composite nanoplates using modified couple stress theory; citation_author=Cuong-Le Thanh; citation_author=P. Phung-Van; citation_author=Chien H. Thai; citation_author=H. Nguyen-Xuan; citation_author=M. Abdel Wahab; citation_volume=184; citation_publication_date=2018/1; citation_pages=633-649; citation_doi=10.1016/j.compstruct.2017.10.025" /> <meta name="citation_reference" content="citation_title=Buckling and vibration analysis of embedded functionally graded carbon nanotube-reinforced composite annular sector plates under thermal loading; citation_author=Reza Ansari; citation_author=Jalal Torabi; citation_author=Mostafa Faghih Shojaei; citation_volume=109; citation_publication_date=2017/1; citation_pages=197-213; citation_doi=10.1016/j.compositesb.2016.10.050" /> <meta name="citation_reference" content="citation_title=Flexural and Free Vibration Analysis of CNT-Reinforced Functionally Graded Plate; citation_author=Md Ansari; citation_author=Ajay Kumar; citation_author=Stanis艂aw Fic; citation_author=Danuta Barnat-Hunek; citation_volume=11; citation_issue=12; citation_publication_date=2018/11/27; citation_pages=2387; citation_doi=10.3390/ma11122387" /> <meta name="citation_reference" content="citation_title=Free vibration analysis of multilayer functionally graded polymer nanocomposite plates reinforced with nonlinearly distributed carbon-based nanofillers using a layer-wise formulation model; citation_author=Yasser Chiker; citation_author=Mourad Bachene; citation_author=Mouloud Guemana; citation_author=Brahim Attaf; citation_author=Saïd Rechak; citation_volume=104; citation_publication_date=2020/9; citation_pages=105913; citation_doi=10.1016/j.ast.2020.105913" /> <meta name="citation_reference" content="citation_title=A Dynamic Analysis of Randomly Oriented Functionally Graded Carbon Nanotubes/Fiber-Reinforced Composite Laminated Shells with Different Geometries; citation_author=Ammar Melaibari; citation_author=Ahmed Amine Daikh; citation_author=Muhammad Basha; citation_author=Ahmed Wagih; citation_author=Ramzi Othman; citation_author=Khalid H. Almitani; citation_author=Mostafa A. Hamed; citation_author=Alaa Abdelrahman; citation_author=Mohamed A. Eltaher; citation_volume=10; citation_issue=3; citation_publication_date=2022/1/27; citation_pages=408; citation_doi=10.3390/math10030408" /> <meta name="citation_reference" content="citation_title=Free Vibration of FG-CNTRCs Nano-Plates/Shells with Temperature-Dependent Properties; citation_author=Ammar Melaibari; citation_author=Ahmed Amine Daikh; citation_author=Muhammad Basha; citation_author=Ahmed W. Abdalla; citation_author=Ramzi Othman; citation_author=Khalid H. Almitani; citation_author=Mostafa A. Hamed; citation_author=Alaa Abdelrahman; citation_author=Mohamed A. Eltaher; citation_volume=10; citation_issue=4; citation_publication_date=2022/2/13; citation_pages=583; citation_doi=10.3390/math10040583" /> <meta name="citation_reference" content="citation_title=Use of piezoelectric actuators as elements of intelligent structures; citation_author=Edward F. Crawley; citation_author=Javier de Luis; citation_volume=25; citation_issue=10; citation_publication_date=1987/10; citation_pages=1373-1385; citation_doi=10.2514/3.9792" /> <meta name="citation_reference" content="citation_title=Induced strain actuation of isotropic and anisotropic plates; citation_author=E. F. Crawley; citation_author=K. B. Lazarus; citation_volume=29; citation_issue=6; citation_publication_date=1991/6; citation_pages=944-951; citation_doi=10.2514/3.10684" /> <meta name="citation_reference" content="citation_title=The deflection of a simply supported plate induced by piezoelectric actuators; citation_author=S. C. Her; citation_author=C. Y. Liu; citation_volume=21; citation_issue=10; citation_publication_date=2007/10; citation_pages=1745-1751; citation_doi=10.1007/bf03177404" /> <meta name="citation_reference" content="citation_title=A finite-element model for piezoelectric composite laminates; citation_author=K Y Lam; citation_author=X Q Peng; citation_author=G R Liu; citation_author=J N Reddy; citation_volume=6; citation_issue=5; citation_publication_date=1999/1/1; citation_pages=583-591; citation_doi=10.1088/0964-1726/6/5/009" /> <meta name="citation_reference" content="citation_title=Static analysis of functionally graded carbon nanotube-reinforced composite plate embedded in piezoelectric layers by using theory of elasticity; citation_author=A. Alibeigloo; citation_volume=95; citation_publication_date=2013/1; citation_pages=612-622; citation_doi=10.1016/j.compstruct.2012.08.018" /> <meta name="citation_reference" content="citation_title=Application of higher-order structural theory to bending and free vibration analysis of sandwich plates with CNT reinforced composite facesheets; citation_author=Sundararajan Natarajan; citation_author=Mohamed Haboussi; citation_author=Ganapathi Manickam; citation_volume=113; citation_publication_date=2014/7; citation_pages=197-207; citation_doi=10.1016/j.compstruct.2014.03.007" /> <meta name="citation_reference" content="citation_title=Experimental study and numerical simulation of active vibration control of a highly flexible beam using piezoelectric intelligent material; citation_author=Dafang Wu; citation_author=Liang Huang; citation_author=Bing Pan; citation_author=Yuewu Wang; citation_author=Shuang Wu; citation_volume=37; citation_publication_date=2014/8; citation_pages=10-19; citation_doi=10.1016/j.ast.2014.04.008" /> <meta name="citation_reference" content="citation_title=Free Vibration Analysis of Smart Laminated Functionally Graded CNT Reinforced Composite Plates via New Four-Variable Refined Plate Theory; citation_author=Tran Huu Quoc; citation_author=Tran Minh Tu; citation_author=Vu Van Tham; citation_volume=12; citation_issue=22; citation_publication_date=2019/11/7; citation_pages=3675; citation_doi=10.3390/ma12223675" /> <meta name="citation_reference" content="citation_title=Carbon nanotube reinforced composites: Potential and current challenges; citation_author=Amal M.K. Esawi; citation_author=Mahmoud M. Farag; citation_volume=28; citation_issue=9; citation_publication_date=2007; citation_pages=2394-2401; citation_doi=10.1016/j.matdes.2006.09.022" /> <meta name="citation_reference" content="J. Yang, Introduction To The Mathematical Theory Of Vibrations Of Elastic Plates, An-By RD Mindlin, World Scientific, (2006)." /> <meta name="citation_reference" content="J.N. Reddy, Mechanics of laminated composite plates and shells: theory and analysis, CRC press, (2003)." /> <meta name="citation_reference" content="H.F. Tiersten, Linear Piezoelectric Plate Vibrations. Plenum Press, New York (1969)., (n.d.)." /> <meta name="citation_reference" content="citation_title=Theory of laminated piezoelectric plates for the design of distributed sensors/actuators. Part I: Governing equations and reciprocal relationships; citation_author=C. K. Lee; citation_volume=87; citation_issue=3; citation_publication_date=1990/3; citation_pages=1144-1158; citation_doi=10.1121/1.398788" /> <meta name="citation_reference" content="H.S. Tzou, Piezoelectric shells, Springer, (1993)." /> <meta name="citation_reference" content="G. Dhatt, G. Touzot, E. Lefrançois, Méthode des éléments finis, Lavoisier, (2005)." /> <meta name="citation_reference" content="citation_title=LQR and PID Algorithms for Vibration Control of Piezoelectric Composite Plates; citation_author=Madjid EZZRAIMI; citation_author=Rachid TIBERKAK; citation_author=Abdelkader MELBOUS; citation_author=Said RECHAK; citation_volume=24; citation_issue=5; citation_publication_date=2018/11/12; citation_doi=10.5755/j01.mech.24.5.20645" /> <meta name="citation_reference" content="citation_title=Static and vibration control of composite laminates integrated with piezoelectric sensors and actuators using the radial point interpolation method; citation_author=G R Liu; citation_author=K Y Dai; citation_author=K M Lim; citation_volume=13; citation_issue=6; citation_publication_date=2004/11/10; citation_pages=1438-1447; citation_doi=10.1088/0964-1726/13/6/015" /> <meta name="citation_reference" content="citation_title=Static and free vibration analyses and dynamic control of composite plates integrated with piezoelectric sensors and actuators by the cell-based smoothed discrete shear gap method (CS-FEM-DSG3); citation_author=P Phung-Van; citation_author=T Nguyen-Thoi; citation_author=T Le-Dinh; citation_author=H Nguyen-Xuan; citation_volume=22; citation_issue=9; citation_publication_date=2013/8/29; citation_pages=095026; citation_doi=10.1088/0964-1726/22/9/095026" /> <meta name="citation_reference" content="citation_title=Analysis of laminated composite plates integrated with piezoelectric sensors and actuators using higher-order shear deformation theory and isogeometric finite elements; citation_author=P. Phung-Van; citation_author=L. De Lorenzis; citation_author=Chien H. Thai; citation_author=M. Abdel-Wahab; citation_author=H. Nguyen-Xuan; citation_volume=96; citation_publication_date=2015/1; citation_pages=495-505; citation_doi=10.1016/j.commatsci.2014.04.068" /> <meta name="person" content="Madjid Ezzraimi, Mohammed Essidik Lazar, Rachid Tiberkak, Yasser Chiker, Morad Bachene, Said Rechak" /> <meta name="description" content="In the present work, a smart structure is being investigated, where a functionally graded carbon nanotube-reinforced composite (FG-CNTRC) plate is equipped with piezoelectric actuators to provide vibration control. Due to their high mechanical properties coupled with lightweight, FG-CNTRCs are mainly used in the aerospace industry and in advanced engineering applications. The CNTs have a linear and non-linear distribution along the thickness of the plate and are distributed according to five configurations, namely: UD, FG-X, FG-O, FG-A and FG-V. The first order shear deformation (FOSD) theory is considered in the formulation of a 9-node quadratic finite element with 5 degrees-of-freedom per node, and an additional degree of freedom is provided for the piezoelectric layer. The model developed in this study assesses the free vibration behavior and controls the nanocomposite plate deflection through the electromechanical coupling factor piezoelectric. In addition, it investigates: (i) the effect of the plate configuration, (ii) the CNT volume fraction, (iii) the CNT destruction patterns, (iv) the linear and nonlinear distribution of CNTs, (v) the number of CNTRC ply, (vi) the boundary conditions and (vii) the dimensions with different locations of actuators. The results obtained show the first natural frequencies for all configurations, which are considered to be in good agreement with those available in the literature and illustrate that the effective stiffness of the nanocomposite plates can be improved further when the reinforcement is dispersed according to the FG-X pattern. In addition, for the case of the deflection control analysis, results indicate that the distributed piezoelectric layers (actuators) attenuate the deflection of the CNTRC to the desired tolerance. It is noted that patches with partial coverage compared to the case of total coverage of piezoelectric layers require more electrical power to reach the same level of attenuation. The developed numerical model is intended to be used in a variety of potential advanced engineering applications." /> <meta name="keywords" content="Carbon Nanotube, Functionally Graded Material, Piezoelectricity, Vibration Control" /> <meta name="copyright" content="2023 Trans Tech Publications Ltd. All Rights Reserved" /> <title>Piezoelectric Patches for Deflection Control of Functionally Graded Carbon Nanotube-Reinforced Composite Plates | Scientific.Net</title> <link href="/Content/app/scinet5/images/favicon.ico" rel="shortcut icon" /> <link href="/Content/public.min.css?v=BKBihgCkUm340JBGsNjEPtWz8I22CUsubMPC3V1WYzw" rel="stylesheet" /> <link rel="preconnect" href="https://www.google-analytics.com"> <link rel="preconnect" href="https://www.gstatic.com"> <link rel="preconnect" href="https://www.googletagmanager.com"> <link rel="icon" href="/Content/app/scinet5/images/favicon.ico"> <link rel="apple-touch-icon" href="/Content/app/scinet5/images/apple-touch-icon.png"> <link rel="preconnect" href="https://fonts.googleapis.com"> <link rel="preconnect" href="https://fonts.gstatic.com" crossorigin> <link href="https://fonts.googleapis.com/css?family=Open+Sans+Condensed:300,700%7COpen+Sans:300i,400,400i,600,600i,700&display=swap" rel="stylesheet">    <script> (function(w,d,s,l,i){w[l]=w[l]||[];w[l].push({'gtm.start': new Date().getTime(),event:'gtm.js'});var f=d.getElementsByTagName(s)[0], j=d.createElement(s),dl=l!='dataLayer'?'&l='+l:'';j.async=true;j.src= 'https://www.googletagmanager.com/gtm.js?id='+i+dl;f.parentNode.insertBefore(j,f); })(window,document,'script','dataLayer','GTM-T3VDKWV');</script>  </head> <body> <noscript>  <iframe src="https://www.googletagmanager.com/ns.html?id=GTM-T3VDKWV" height="0" width="0" style="display:none;visibility:hidden"></iframe> </noscript> <div class="sc-content-container"> <div class="sc-content"> <div class="header-menu-container"> <div class="identity-menu-container header-menu-container-not-logged-in"> <div class="container"> <div class="row"> <ul class="role-menu"> <li class="user-menu between normal-user-menu"> <div class="hdivider-100"></div> <div class="cart-info"> <a href="https://main.scientific.net/Payment/Cart"> <i class="inline-icon cart-icon-white"></i> <span id="cartInfoTotalItemsCount"></span> </a> </div> <div class="user-menu-login-or-register"> <a href="https://main.scientific.net/Account/Registration?ReturnUrl=https%3A%2F%2Fwww.scientific.net%2FAMM.913.3" rel="nofollow"> Registration </a> <a href="https://main.scientific.net/Account/Login?ReturnUrl=https%3A%2F%2Fwww.scientific.net%2FAMM.913.3" rel="nofollow"> Log In </a> </div> </li> </ul> </div> </div> </div> <div class="header-fluid"> <div class="container"> <div class="row"> <div class="block-header"> <div class="logo-block"> <a href="/" class="application-logo inline-icon logo-icon"></a> <div class="burger-menu-button visible-xs"> <div class="hamburger-box"> <div class="hamburger-inner"></div> </div> </div> </div> <div class="menu-and-search-block"> <div class="burger-menu"> <nav class="burger-menu-items"> <div class="public-menu"> <ul> <li><a href="/ForLibraries">For Libraries</a></li> <li><a href="/ForPublication/Paper">For Publication</a></li> <li><a href="/DocuCenter">Downloads</a></li> <li><a href="/news/all">News</a></li> <li><a href="/Home/AboutUs">About Us</a></li> <li><a href="/Home/Contacts">Contact Us</a></li> </ul> </div> </nav> </div> <div class="header-menu-top"> <div class="header-menu-list"> <a href="/ForLibraries">For Libraries</a> <a href="/ForPublication/Paper">For Publication</a> <a href="/DocuCenter">Downloads</a> <a href="/news/all">News</a> <a href="/Home/AboutUs">About Us</a> <a href="/Home/Contacts">Contact Us</a> </div> </div> <div class="search-block"> <input class="search-control" type="search" placeholder="Search" data-url="/Search"> <button class="button button-95 button-grey search-btn button-simple"> <span class="hidden-xs">Search</span> <i class="inline-icon search-icon-grey visible-xs"></i> </button> </div> </div> </div> </div> </div> </div> </div> <div class="container-fluid"> <div class="row"> <div class="banner-new"></div> </div> </div> <div class="content"> <div class="container"> <div class="row content-container"> <div class="left-content col-md-4 col-sm-5"> <div class="left-content-first-line icon-container mobile-collapse-button"> <div class="page-name-block underline-begin sibling-name-block"> <div class="page-name-block-text"> Paper Titles <a class="left-content-expand-button"><i class="inline-icon arrow-right-black no-hover-icon on-focus-arrow-down-black"></i></a> </div> </div> </div> <div class="row mobile-collapse-content"> <a href="/AMM.913.-3" class="normal-large-text icon-container"> <div class="element-list"> <div class="element-list-text"> Preface </div> <div class="element-list-arrow"> <i class="inline-icon arrow-right-black no-focus-icon on-hover-arrow-left-red"></i> </div> </div> </a> <a href="/AMM.913.3" class="normal-large-text icon-container active-element active"> <div class="element-list"> <div class="element-list-text"> Piezoelectric Patches for Deflection Control of Functionally Graded Carbon Nanotube-Reinforced Composite Plates <br /> <span class="paper-volume-number">p.3</span> </div> <div class="element-list-arrow"> <i class="inline-icon arrow-right-black no-focus-icon on-hover-arrow-left-red"></i> </div> </div> </a> <a href="/AMM.913.15" class="normal-large-text icon-container"> <div class="element-list"> <div class="element-list-text"> Optimization of the Mechanical and Physical Properties of Lightweight Concrete Reinforced with Date Palm and Sisal Fibers <br /> <span class="paper-volume-number">p.15</span> </div> <div class="element-list-arrow"> <i class="inline-icon arrow-right-black no-focus-icon on-hover-arrow-left-red"></i> </div> </div> </a> <a href="/AMM.913.23" class="normal-large-text icon-container"> <div class="element-list"> <div class="element-list-text"> Elastic-Wave Characteristics from Crack Initiation and Propagation of High-Strength Steel Immersed in Acetic-Acid Solution <br /> <span class="paper-volume-number">p.23</span> </div> <div class="element-list-arrow"> <i class="inline-icon arrow-right-black no-focus-icon on-hover-arrow-left-red"></i> </div> </div> </a> <a href="/AMM.913.35" class="normal-large-text icon-container"> <div class="element-list"> <div class="element-list-text"> Investigation on Role and Impact of 3D Printing Technology in Sand Casting <br /> <span class="paper-volume-number">p.35</span> </div> <div class="element-list-arrow"> <i class="inline-icon arrow-right-black no-focus-icon on-hover-arrow-left-red"></i> </div> </div> </a> <a href="/AMM.913.45" class="normal-large-text icon-container"> <div class="element-list"> <div class="element-list-text"> Study of Modified Absorber Plate with Aluminium Foam of Solar Water Heating System <br /> <span class="paper-volume-number">p.45</span> </div> <div class="element-list-arrow"> <i class="inline-icon arrow-right-black no-focus-icon on-hover-arrow-left-red"></i> </div> </div> </a> <a href="/AMM.913.53" class="normal-large-text icon-container"> <div class="element-list"> <div class="element-list-text"> Experimental of the Influence of Blade Pitch Angle Cooler Fan on the Performance of Closed Cooling Water System Gas Turbine <br /> <span class="paper-volume-number">p.53</span> </div> <div class="element-list-arrow"> <i class="inline-icon arrow-right-black no-focus-icon on-hover-arrow-left-red"></i> </div> </div> </a> <a href="/AMM.913.59" class="normal-large-text icon-container"> <div class="element-list"> <div class="element-list-text"> Effect of Propylene Glycol on Supercooling NaCl-H<sub>2</sub>O Solution as PCM to Reduce Energy Consumption in Hybrid Reefer Container <br /> <span class="paper-volume-number">p.59</span> </div> <div class="element-list-arrow"> <i class="inline-icon arrow-right-black no-focus-icon on-hover-arrow-left-red"></i> </div> </div> </a> <a href="/AMM.913.69" class="normal-large-text icon-container"> <div class="element-list"> <div class="element-list-text"> An Innovation of Black Tea as a Substitute for the Use of Positive Contrast Media in CT Urography in Hydronephrosis Cases: Case Study <br /> <span class="paper-volume-number">p.69</span> </div> <div class="element-list-arrow"> <i class="inline-icon arrow-right-black no-focus-icon on-hover-arrow-left-red"></i> </div> </div> </a> </div> </div> <div class="right-content col-md-8 col-sm-7 col-xs-12 paper-title-main-page"> <div class="bread-crumbs hidden-xs"> <a class="bread-crumbs-first" href="/">Home</a><i class="inline-icon arrow-breadcrumbs"></i><a class="bread-crumbs-first" href="/AMM">Applied Mechanics and Materials</a><i class="inline-icon arrow-breadcrumbs"></i><a class="bread-crumbs-first" href="/AMM.913">Applied Mechanics and Materials Vol. 913</a><i class="inline-icon arrow-breadcrumbs"></i><span class="bread-crumbs-second">Piezoelectric Patches for Deflection Control of...</span></div> <div class="page-name-block underline-begin"> <h1 class="page-name-block-text">Piezoelectric Patches for Deflection Control of Functionally Graded Carbon Nanotube-Reinforced Composite Plates</h1> </div> <div class="paper-statistics"> <div class="loading"> <i class="inline-icon download-and-visitor-statistics-icon"></i> <span class="normal-text" id="paperDownloadsAndVisitorsCount"></span> </div> </div> <div class="clearfix"></div> <div class="page-paper-title"> <div class="preview-block"> <img alt="Article Preview" width="128" height="180" src="/AMM.913.3/thumbnail.gif"> <div id="preview-button" data-url-preview-log="/Paper/PreviewImageLog?paperId=590135"> <i class="inline-icon preview-icon"></i> </div>  <div id="paper-preview-modal" class="modal fade"> <div class="modal-dialog" role="document"> <div class="popup-page-name underline-begin"> <div class="page-name-block-text">Article Preview</div> </div> <img alt="Article Preview" class="preview-image lazyload" data-src="/AMM.913.3/preview.gif"> <a data-dismiss="modal" title="Close" class="inline-icon close-icon"></a> </div> </div>  </div> <div class="abstract-block-description"> <h3 class="page-paper-first-header">Abstract:</h3> <p class="normal-text"> In the present work, a smart structure is being investigated, where a functionally graded carbon nanotube-reinforced composite (FG-CNTRC) plate is equipped with piezoelectric actuators to provide vibration control. Due to their high mechanical properties coupled with lightweight, FG-CNTRCs are mainly used in the aerospace industry and in advanced engineering applications. The CNTs have a linear and non-linear distribution along the thickness of the plate and are distributed according to five configurations, namely: UD, FG-X, FG-O, FG-A and FG-V. The first order shear deformation (FOSD) theory is considered in the formulation of a 9-node quadratic finite element with 5 degrees-of-freedom per node, and an additional degree of freedom is provided for the piezoelectric layer. The model developed in this study assesses the free vibration behavior and controls the nanocomposite plate deflection through the electromechanical coupling factor piezoelectric. In addition, it investigates: (<i>i</i>) the effect of the plate configuration, (<i>ii</i>) the CNT volume fraction, (<i>iii</i>) the CNT destruction patterns, (<i>iv</i>) the linear and nonlinear distribution of CNTs, (<i>v</i>) the number of CNTRC ply, (<i>vi</i>) the boundary conditions and (<i>vii</i>) the dimensions with different locations of actuators. The results obtained show the first natural frequencies for all configurations, which are considered to be in good agreement with those available in the literature and illustrate that the effective stiffness of the nanocomposite plates can be improved further when the reinforcement is dispersed according to the FG-X pattern. In addition, for the case of the deflection control analysis, results indicate that the distributed piezoelectric layers (actuators) attenuate the deflection of the CNTRC to the desired tolerance. It is noted that patches with partial coverage compared to the case of total coverage of piezoelectric layers require more electrical power to reach the same level of attenuation. The developed numerical model is intended to be used in a variety of potential advanced engineering applications. </p> </div> <div class="paper-access-buttons col-xs-12"> <div class="row"> <div class="sa-button-wrap"> <a id="sa-button" class="wayfinder-login d-flex sa-button" href="javascript:;"> <div class="sa-button-logo-wrap"> <i class="inline-icon sa-white"></i> </div> <div class="d-flex justify-content-center align-items-center sa-button-text text-truncate"> <div class="sa-button-text-primary text-truncate">Access through your institution</div> </div> </a> </div> <div class="title-button-pdf"> <button id="readPaperButton" data-url-read-paper-log="/Paper/ReadThePaperLog?paperId=590135" class="button button-160"> <span class="inline-element">Read The Paper</span> </button> </div> </div> <div class="row"> </div> </div> <div class="clearfix"></div> <div class="connected-title-container"> <div class="connected-title-text semibold-middle-text">You might also be interested in these eBooks</div> <div class="connected-title-list-container"> <div class="connected-title-list-item"> <a href="/book/achievements-and-solutions-in-materials-science-and-engineering-data-processing/978-3-0364-1238-2" title="Achievements and Solutions in Materials Science and Engineering Data Processing"> <img class="ls-is-cached lazyloaded" src="/Image/TitleCover/6744?width=190" alt="Achievements and Solutions in Materials Science and Engineering Data Processing" /> </a> <a id="downloadPdfButton" href="/book/achievements-and-solutions-in-materials-science-and-engineering-data-processing/978-3-0364-1238-2/ebook" class="button"> <span>View Preview</span> <i class="inline-icon book-icon-white small-icon button-icon-right"></i> </a> </div> </div> </div> <div class="papers-block-info-title"> <h2>Info:</h2> </div> <div class="clearfix"></div> <div class="papers-block-info-list"> <div class="papers-block-info col-lg-12"> <div class="row"> <div class="info-row-name normal-text-gray col-md-2 col-sm-3 col-xs-4"> <div class="row"> <p>Periodical:</p> </div> </div> <div class="info-row-content semibold-middle-text col-md-10 col-sm-9 col-xs-8"> <div class="row"> <a href="/AMM">Applied Mechanics and Materials</a> <span>(Volume 913)</span> </div> </div> </div> </div> <div class="papers-block-info col-lg-12"> <div class="row"> <div class="info-row-name normal-text-gray col-md-2 col-sm-3 col-xs-4"> <div class="row"> <p>Pages:</p> </div> </div> <div class="info-row-content semibold-middle-text col-md-10 col-sm-9 col-xs-8"> <div class="row"> <p>3-14</p> </div> </div> </div> </div> <div class="papers-block-info col-lg-12"> <div class="row"> <div class="info-row-name normal-text-gray col-md-2 col-sm-3 col-xs-4"> <div class="row"> <p>DOI:</p> </div> </div> <div class="info-row-content semibold-middle-text col-md-10 col-sm-9 col-xs-8"> <div class="row"> <p><a href="https://doi.org/10.4028/p-109719">https://doi.org/10.4028/p-109719</a></p> </div> </div> </div> </div> <div class="papers-block-info col-lg-12"> <div class="row"> <div class="info-row-name normal-text-gray col-md-2 col-sm-3 col-xs-4"> <div class="row"> <p>Citation:</p> </div> </div> <div class="info-row-content semibold-middle-text col-md-10 col-sm-9 col-xs-8"> <div class="row"> <p><a id="paperCitationsButton" href="#">Cite this paper</a></p> </div> </div> </div> </div> <div class="papers-block-info col-lg-12"> <div class="row"> <div class="info-row-name normal-text-gray col-md-2 col-sm-3 col-xs-4"> <div class="row"> <p>Online since:</p> </div> </div> <div class="info-row-content semibold-middle-text col-md-10 col-sm-9 col-xs-8"> <div class="row"> <p>March 2023</p> </div> </div> </div> </div> <div class="papers-block-info col-lg-12"> <div class="row"> <div class="info-row-name normal-text-gray col-md-2 col-sm-3 col-xs-4"> <div class="row"> <p>Authors:</p> </div> </div> <div class="info-row-content semibold-middle-text col-md-10 col-sm-9 col-xs-8"> <div class="row"> <a href="/author-papers/ezzraimi-madjid">Madjid Ezzraimi</a>, <a href="/author-papers/lazar-mohammed-essidik">Mohammed Essidik Lazar</a>, <a class="inline-icon mail-icon-red author-send-message" href="#" data-url="/Paper/_Message?paperId=590135&personId=1710834&urlSent=https%3A%2F%2Fwww.scientific.net%2FAMM.913.3" title="Send message to Corresponding Author"> </a> <a href="/author-papers/rachid-tiberkak">Rachid Tiberkak</a>*, <a href="/author-papers/shiker-yasser">Yasser Chiker</a>, <a href="/author-papers/bachene-morad">Morad Bachene</a>, <a href="/author-papers/rechak-said">Said Rechak</a> </div> </div> </div> </div> <div class="papers-block-info col-lg-12"> <div class="row"> <div class="info-row-name normal-text-gray col-md-2 col-sm-3 col-xs-4"> <div class="row"> <p>Keywords:</p> </div> </div> <div class="info-row-content semibold-middle-text col-md-10 col-sm-9 col-xs-8"> <div class="row"> <a href="/paper-keyword/carbon-nanotube">Carbon Nanotube</a>, <a href="/paper-keyword/functionally-graded-material">Functionally Graded Material</a>, <a href="/paper-keyword/piezoelectricity">Piezoelectricity</a>, <a href="/paper-keyword/vibration-control">Vibration Control</a> </div> </div> </div> </div> <div class="papers-block-info col-lg-12"> <div class="row"> <div class="info-row-name normal-text-gray col-md-2 col-sm-3 col-xs-4"> <div class="row"> <p>Export:</p> </div> </div> <div class="info-row-content semibold-middle-text col-md-10 col-sm-9 col-xs-8"> <div class="row"> <a href="/AMM.913.3.ris">RIS</a>, <a href="/AMM.913.3.bib">BibTeX</a> </div> </div> </div> </div> <div class="papers-block-info col-lg-12"> <div class="row"> <div class="info-row-name normal-text-gray col-md-2 col-sm-3 col-xs-4"> <div class="row"> <p>Price:</p> </div> </div> <div class="info-row-content semibold-middle-text col-md-10 col-sm-9 col-xs-8"> <div class="row"> <p id="paper-price-info"></p> </div> </div> </div> </div> <div class="papers-block-info col-lg-12"> <div class="row"> <div class="info-row-name normal-text-gray col-md-2 col-sm-3 col-xs-4"> <div class="row"> <p>Permissions:</p> </div> </div> <div class="info-row-content semibold-middle-text col-md-10 col-sm-9 col-xs-8"> <div class="row"> <p> <i class="inline-icon icon-permission"></i> <a href="https://marketplace.copyright.com/rs-ui-web/mp/search/article/10.4028%2Fp-109719" target="_blank"> Request Permissions </a> </p> </div> </div> </div> </div> <div class="papers-block-info col-lg-12"> <div class="row"> <div class="info-row-name normal-text-gray col-md-2 col-sm-3 col-xs-4"> <div class="row"> <p>Сopyright:</p> </div> </div> <div class="info-row-content semibold-middle-text col-md-10 col-sm-9 col-xs-8"> <div class="row"> <p> 漏 2023 Trans Tech Publications Ltd. All Rights Reserved </p> </div> </div> </div> </div> <div class="papers-block-info col-lg-12"> <div class="row"> <div class="info-row-name normal-text-gray col-md-2 col-sm-3 col-xs-4"> <div class="row"> <p>Share:</p> </div> </div> <div class="info-row-content share-icons semibold-middle-text col-md-10 col-sm-9 col-xs-8"> <div class="row">  <div id="" class="a2a_kit a2a_kit_size_32 a2a_default_style"> <a class="a2a_button_linkedin"></a> <a class="a2a_button_mendeley"></a> <a class="a2a_button_email"></a> <a class="a2a_button_x"></a> <a class="a2a_button_twitter"></a> <a class="a2a_button_whatsapp"></a> <a class="a2a_button_microsoft_teams"></a> <a class="a2a_button_skype"></a> <a class="a2a_button_outlook_com"></a> <a class="a2a_dd" href="https://www.addtoany.com/share"></a> </div> <script async src="https://static.addtoany.com/menu/page.js"></script>  </div> </div> </div> </div> <div class="papers-block-info col-lg-12"> <div class="row"> <div class="info-row-name normal-text-gray col-md-2 col-sm-3 col-xs-4"> <div class="row"> <p>Citation:</p> </div> </div> <div class="info-row-content semibold-middle-text col-md-10 col-sm-9 col-xs-8"> <div class="row"> <div class="scite-badge" data-doi="10.4028/p-109719" data-layout="horizontal" data-show-zero="true" data-small="false" data-show-labels="false" data-tally-show="true"> </div> </div> </div> </div> </div> </div> <div class="block-corresponding-buttons col-xs-12"> <div class="row"> <div class="block-corresponding normal-text-gray col-md-4 col-xs-12"> <div class="row"> <p><span>*</span> - Corresponding Author</p> </div> </div> </div> </div> <div class="related-article reference-collapse col-xs-12"> <div class="row"> <div class="view"> <div class="panel-group" id="references-panel"> <div class="panel panel-default"> <div class="panel-heading"> <a class="panel-title bold-large-text icon-container" data-toggle="collapse" data-parent="#references-panel" href="#reference-panel-element"> References <i class="inline-icon arrow-right-black"></i> </a> </div> <div id="reference-panel-element" class="panel-collapse collapse"> <div class="panel-body"> <div class="references-block"> <div class="reference-text volume-info-text"> <p> <span>[1]</span> I. Khan, C.S. Kamma-Lorger, S.D. Mohan, A. Mateus, G.R. Mitchell, The exploitation of polymer based nanocomposites for additive manufacturing: a prospective review, in: Applied Mechanics and Materials, Trans Tech Publ, 2019: p.113–145. </p> <p> DOI: <a href="https://doi.org/10.4028/www.scientific.net/amm.890.113">10.4028/www.scientific.net/amm.890.113</a> </p> <p><a href="https://scholar.google.com/scholar_lookup?title=The%20Exploitation%20of%20Polymer%20Based%20Nanocomposites%20for%20Additive%20Manufacturing%3A%20A%20Prospective%20Review&author=Imran%20Khan&author=Christina%20S.%20Kamma-Lorger&author=Saeed%20D.%20Mohan&author=Artur%20Mateus&author=Geoffrey%20R.%20Mitchell&publication_year=2019&journal=Applied%20Mechanics%20and%20Materials&volume=890&pages=113-145&doi=10.4028%2Fwww.scientific.net%2Famm.890.113">Google Scholar</a></p> </div> <div class="reference-text volume-info-text"> <p> <span>[2]</span> S.D. Mohan, M. Nazhipkyzy, P. Carreira, C. Santos, F.J. Davis, A. Mateus, G.R. Mitchell, Direct digital manufacturing of nanocomposites, in: Applied Mechanics and Materials, Trans Tech Publ, 2019: p.92–97. </p> <p> DOI: <a href="https://doi.org/10.4028/www.scientific.net/amm.890.92">10.4028/www.scientific.net/amm.890.92</a> </p> <p><a href="https://scholar.google.com/scholar_lookup?title=Direct%20Digital%20Manufacturing%20of%20Nanocomposites&author=Saeed%20D.%20Mohan&author=Meruyert%20Nazhipkyzy&author=Pedro%20Carreira&author=Cyril%20Santos&author=Fred%20J.%20Davis&author=Artur%20Mateus&author=Geoffrey%20R.%20Mitchell&publication_year=2019&journal=Applied%20Mechanics%20and%20Materials&volume=890&pages=92-97&doi=10.4028%2Fwww.scientific.net%2Famm.890.92">Google Scholar</a></p> </div> <div class="reference-text volume-info-text"> <p> <span>[3]</span> R. Purohit, K. Purohit, S. Rana, R.S. Rana, V. Patel, Carbon nanotubes and their growth methods, Procedia Materials Science. 6 (2014) 716–728. </p> <p> DOI: <a href="https://doi.org/10.1016/j.mspro.2014.07.088">10.1016/j.mspro.2014.07.088</a> </p> <p><a href="https://scholar.google.com/scholar_lookup?title=Carbon%20Nanotubes%20and%20Their%20Growth%20Methods&author=Rajesh%20Purohit&author=Kuldeep%20Purohit&author=Saraswati%20Rana&author=R.S.%20Rana&author=Vivek%20Patel&publication_year=2014&journal=Procedia%20Materials%20Science&volume=6&pages=716-728&doi=10.1016%2Fj.mspro.2014.07.088">Google Scholar</a></p> </div> <div class="reference-text volume-info-text"> <p> <span>[4]</span> Z.-X. Wang, H.-S. Shen, Nonlinear vibration and bending of sandwich plates with nanotube-reinforced composite face sheets, Composites Part B: Engineering. 43 (2012) 411–421. </p> <p> DOI: <a href="https://doi.org/10.1016/j.compositesb.2011.04.040">10.1016/j.compositesb.2011.04.040</a> </p> <p><a href="https://scholar.google.com/scholar_lookup?title=Nonlinear%20vibration%20and%20bending%20of%20sandwich%20plates%20with%20nanotube-reinforced%20composite%20face%20sheets&author=Zhen-Xin%20Wang&author=Hui-Shen%20Shen&publication_year=2012&journal=Composites%20Part%20B%3A%20Engineering&volume=43&issue=2&pages=411-421&doi=10.1016%2Fj.compositesb.2011.04.040">Google Scholar</a></p> </div> <div class="reference-text volume-info-text"> <p> <span>[5]</span> P. Zhu, Z.X. Lei, K.M. Liew, Static and free vibration analyses of carbon nanotube-reinforced composite plates using finite element method with first order shear deformation plate theory, Composite Structures. 94 (2012) 1450–1460. </p> <p> DOI: <a href="https://doi.org/10.1016/j.compstruct.2011.11.010">10.1016/j.compstruct.2011.11.010</a> </p> <p><a href="https://scholar.google.com/scholar_lookup?title=Static%20and%20free%20vibration%20analyses%20of%20carbon%20nanotube-reinforced%20composite%20plates%20using%20finite%20element%20method%20with%20first%20order%20shear%20deformation%20plate%20theory&author=Ping%20Zhu&author=Z.X.%20Lei&author=K.M.%20Liew&publication_year=2012&journal=Composite%20Structures&volume=94&issue=4&pages=1450-1460&doi=10.1016%2Fj.compstruct.2011.11.010">Google Scholar</a></p> </div> <div class="reference-text volume-info-text"> <p> <span>[6]</span> B. Huang, Y. Guo, J. Wang, J. Du, Z. Qian, T. Ma, L. Yi, Bending and free vibration analyses of antisymmetrically laminated carbon nanotube-reinforced functionally graded plates, Journal of Composite Materials. 51 (2017) 3111–3125. </p> <p> DOI: <a href="https://doi.org/10.1177/0021998316685165">10.1177/0021998316685165</a> </p> <p><a href="https://scholar.google.com/scholar_lookup?title=Bending%20and%20free%20vibration%20analyses%20of%20antisymmetrically%20laminated%20carbon%20nanotube-reinforced%20functionally%20graded%20plates&author=Bin%20Huang&author=Yan%20Guo&author=Ji%20Wang&author=Jianke%20Du&author=Zhenghua%20Qian&author=Tingfeng%20Ma&author=Lijun%20Yi&publication_year=2016&journal=Journal%20of%20Composite%20Materials&volume=51&issue=22&pages=3111-3125&doi=10.1177%2F0021998316685165">Google Scholar</a></p> </div> <div class="reference-text volume-info-text"> <p> <span>[7]</span> C.-L. Thanh, P. Phung-Van, C.H. Thai, H. Nguyen-Xuan, M.A. Wahab, Isogeometric analysis of functionally graded carbon nanotube reinforced composite nanoplates using modified couple stress theory, Composite Structures. 184 (2018) 633–649. </p> <p> DOI: <a href="https://doi.org/10.1016/j.compstruct.2017.10.025">10.1016/j.compstruct.2017.10.025</a> </p> <p><a href="https://scholar.google.com/scholar_lookup?title=Isogeometric%20analysis%20of%20functionally%20graded%20carbon%20nanotube%20reinforced%20composite%20nanoplates%20using%20modified%20couple%20stress%20theory&author=Cuong-Le%20Thanh&author=P.%20Phung-Van&author=Chien%20H.%20Thai&author=H.%20Nguyen-Xuan&author=M.%20Abdel%20Wahab&publication_year=2018&journal=Composite%20Structures&volume=184&pages=633-649&doi=10.1016%2Fj.compstruct.2017.10.025">Google Scholar</a></p> </div> <div class="reference-text volume-info-text"> <p> <span>[8]</span> R. Ansari, J. Torabi, M.F. Shojaei, Buckling and vibration analysis of embedded functionally graded carbon nanotube-reinforced composite annular sector plates under thermal loading, Composites Part B: Engineering. 109 (2017) 197–213. </p> <p> DOI: <a href="https://doi.org/10.1016/j.compositesb.2016.10.050">10.1016/j.compositesb.2016.10.050</a> </p> <p><a href="https://scholar.google.com/scholar_lookup?title=Buckling%20and%20vibration%20analysis%20of%20embedded%20functionally%20graded%20carbon%20nanotube-reinforced%20composite%20annular%20sector%20plates%20under%20thermal%20loading&author=Reza%20Ansari&author=Jalal%20Torabi&author=Mostafa%20Faghih%20Shojaei&publication_year=2017&journal=Composites%20Part%20B%3A%20Engineering&volume=109&pages=197-213&doi=10.1016%2Fj.compositesb.2016.10.050">Google Scholar</a></p> </div> <div class="reference-text volume-info-text"> <p> <span>[9]</span> M.I. Ansari, A. Kumar, S. Fic, D. Barnat-Hunek, Flexural and free vibration analysis of CNT-reinforced functionally graded plate, Materials. 11 (2018) 2387. </p> <p> DOI: <a href="https://doi.org/10.3390/ma11122387">10.3390/ma11122387</a> </p> <p><a href="https://scholar.google.com/scholar_lookup?title=Flexural%20and%20Free%20Vibration%20Analysis%20of%20CNT-Reinforced%20Functionally%20Graded%20Plate&author=Md%20Ansari&author=Ajay%20Kumar&author=Stanis%C5%82aw%20Fic&author=Danuta%20Barnat-Hunek&publication_year=2018&journal=Materials&volume=11&issue=12&pages=2387&doi=10.3390%2Fma11122387">Google Scholar</a></p> </div> <div class="reference-text volume-info-text"> <p> <span>[10]</span> Y. Chiker, M. Bachene, M. Guemana, B. Attaf, S. Rechak, Free vibration analysis of multilayer functionally graded polymer nanocomposite plates reinforced with nonlinearly distributed carbon-based nanofillers using a layer-wise formulation model, Aerospace Science and Technology. 104 (2020) 105913. </p> <p> DOI: <a href="https://doi.org/10.1016/j.ast.2020.105913">10.1016/j.ast.2020.105913</a> </p> <p><a href="https://scholar.google.com/scholar_lookup?title=Free%20vibration%20analysis%20of%20multilayer%20functionally%20graded%20polymer%20nanocomposite%20plates%20reinforced%20with%20nonlinearly%20distributed%20carbon-based%20nanofillers%20using%20a%20layer-wise%20formulation%20model&author=Yasser%20Chiker&author=Mourad%20Bachene&author=Mouloud%20Guemana&author=Brahim%20Attaf&author=Sa%C3%AFd%20Rechak&publication_year=2020&journal=Aerospace%20Science%20and%20Technology&volume=104&pages=105913&doi=10.1016%2Fj.ast.2020.105913">Google Scholar</a></p> </div> <div class="reference-text volume-info-text"> <p> <span>[11]</span> A. Melaibari, A.A. Daikh, M. Basha, A. Wagih, R. Othman, K.H. Almitani, M.A. Hamed, A. Abdelrahman, M.A. Eltaher, A Dynamic Analysis of Randomly Oriented Functionally Graded Carbon Nanotubes/Fiber-Reinforced Composite Laminated Shells with Different Geometries, Mathematics. 10 (2022) 408. </p> <p> DOI: <a href="https://doi.org/10.3390/math10030408">10.3390/math10030408</a> </p> <p><a href="https://scholar.google.com/scholar_lookup?title=A%20Dynamic%20Analysis%20of%20Randomly%20Oriented%20Functionally%20Graded%20Carbon%20Nanotubes%2FFiber-Reinforced%20Composite%20Laminated%20Shells%20with%20Different%20Geometries&author=Ammar%20Melaibari&author=Ahmed%20Amine%20Daikh&author=Muhammad%20Basha&author=Ahmed%20Wagih&author=Ramzi%20Othman&author=Khalid%20H.%20Almitani&author=Mostafa%20A.%20Hamed&author=Alaa%20Abdelrahman&author=Mohamed%20A.%20Eltaher&publication_year=2022&journal=Mathematics&volume=10&issue=3&pages=408&doi=10.3390%2Fmath10030408">Google Scholar</a></p> </div> <div class="reference-text volume-info-text"> <p> <span>[12]</span> A. Melaibari, A.A. Daikh, M. Basha, A.W. Abdalla, R. Othman, K.H. Almitani, M.A. Hamed, A. Abdelrahman, M.A. Eltaher, Free Vibration of FG-CNTRCs Nano-Plates/Shells with Temperature-Dependent Properties, Mathematics. 10 (2022) 583. </p> <p> DOI: <a href="https://doi.org/10.3390/math10040583">10.3390/math10040583</a> </p> <p><a href="https://scholar.google.com/scholar_lookup?title=Free%20Vibration%20of%20FG-CNTRCs%20Nano-Plates%2FShells%20with%20Temperature-Dependent%20Properties&author=Ammar%20Melaibari&author=Ahmed%20Amine%20Daikh&author=Muhammad%20Basha&author=Ahmed%20W.%20Abdalla&author=Ramzi%20Othman&author=Khalid%20H.%20Almitani&author=Mostafa%20A.%20Hamed&author=Alaa%20Abdelrahman&author=Mohamed%20A.%20Eltaher&publication_year=2022&journal=Mathematics&volume=10&issue=4&pages=583&doi=10.3390%2Fmath10040583">Google Scholar</a></p> </div> <div class="reference-text volume-info-text"> <p> <span>[13]</span> E.F. Crawley, J. De Luis, Use of piezoelectric actuators as elements of intelligent structures, AIAA Journal. 25 (1987) 1373–1385. </p> <p> DOI: <a href="https://doi.org/10.2514/3.9792">10.2514/3.9792</a> </p> <p><a href="https://scholar.google.com/scholar_lookup?title=Use%20of%20piezoelectric%20actuators%20as%20elements%20of%20intelligent%20structures&author=Edward%20F.%20Crawley&author=Javier%20de%20Luis&publication_year=1987&journal=AIAA%20Journal&volume=25&issue=10&pages=1373-1385&doi=10.2514%2F3.9792">Google Scholar</a></p> </div> <div class="reference-text volume-info-text"> <p> <span>[14]</span> E.F. Crawley, K.B. Lazarus, Induced strain actuation of isotropic and anisotropic plates, AIAA Journal. 29 (1991) 944–951. </p> <p> DOI: <a href="https://doi.org/10.2514/3.10684">10.2514/3.10684</a> </p> <p><a href="https://scholar.google.com/scholar_lookup?title=Induced%20strain%20actuation%20of%20isotropic%20and%20anisotropic%20plates&author=E.%20F.%20Crawley&author=K.%20B.%20Lazarus&publication_year=1991&journal=AIAA%20Journal&volume=29&issue=6&pages=944-951&doi=10.2514%2F3.10684">Google Scholar</a></p> </div> <div class="reference-text volume-info-text"> <p> <span>[15]</span> S.C. Her, C.Y. Liu, The deflection of a simply supported plate induced by piezoelectric actuators, Journal of Mechanical Science and Technology. 21 (2007) 1745. </p> <p> DOI: <a href="https://doi.org/10.1007/bf03177404">10.1007/bf03177404</a> </p> <p><a href="https://scholar.google.com/scholar_lookup?title=The%20deflection%20of%20a%20simply%20supported%20plate%20induced%20by%20piezoelectric%20actuators&author=S.%20C.%20Her&author=C.%20Y.%20Liu&publication_year=2007&journal=Journal%20of%20Mechanical%20Science%20and%20Technology&volume=21&issue=10&pages=1745-1751&doi=10.1007%2Fbf03177404">Google Scholar</a></p> </div> <div class="reference-text volume-info-text"> <p> <span>[16]</span> K.Y. Lam, X.Q. Peng, G.R. Liu, J.N. Reddy, A finite-element model for piezoelectric composite laminates, Smart Materials and Structures. 6 (1997) 583. </p> <p> DOI: <a href="https://doi.org/10.1088/0964-1726/6/5/009">10.1088/0964-1726/6/5/009</a> </p> <p><a href="https://scholar.google.com/scholar_lookup?title=A%20finite-element%20model%20for%20piezoelectric%20composite%20laminates&author=K%20Y%20Lam&author=X%20Q%20Peng&author=G%20R%20Liu&author=J%20N%20Reddy&publication_year=1999&journal=Smart%20Materials%20and%20Structures&volume=6&issue=5&pages=583-591&doi=10.1088%2F0964-1726%2F6%2F5%2F009">Google Scholar</a></p> </div> <div class="reference-text volume-info-text"> <p> <span>[17]</span> A. Alibeigloo, Static analysis of functionally graded carbon nanotube-reinforced composite plate embedded in piezoelectric layers by using theory of elasticity, Composite Structures. 95 (2013) 612–622. </p> <p> DOI: <a href="https://doi.org/10.1016/j.compstruct.2012.08.018">10.1016/j.compstruct.2012.08.018</a> </p> <p><a href="https://scholar.google.com/scholar_lookup?title=Static%20analysis%20of%20functionally%20graded%20carbon%20nanotube-reinforced%20composite%20plate%20embedded%20in%20piezoelectric%20layers%20by%20using%20theory%20of%20elasticity&author=A.%20Alibeigloo&publication_year=2013&journal=Composite%20Structures&volume=95&pages=612-622&doi=10.1016%2Fj.compstruct.2012.08.018">Google Scholar</a></p> </div> <div class="reference-text volume-info-text"> <p> <span>[18]</span> S. Natarajan, M. Haboussi, G. Manickam, Application of higher-order structural theory to bending and free vibration analysis of sandwich plates with CNT reinforced composite facesheets, Composite Structures. 113 (2014) 197–207. </p> <p> DOI: <a href="https://doi.org/10.1016/j.compstruct.2014.03.007">10.1016/j.compstruct.2014.03.007</a> </p> <p><a href="https://scholar.google.com/scholar_lookup?title=Application%20of%20higher-order%20structural%20theory%20to%20bending%20and%20free%20vibration%20analysis%20of%20sandwich%20plates%20with%20CNT%20reinforced%20composite%20facesheets&author=Sundararajan%20Natarajan&author=Mohamed%20Haboussi&author=Ganapathi%20Manickam&publication_year=2014&journal=Composite%20Structures&volume=113&pages=197-207&doi=10.1016%2Fj.compstruct.2014.03.007">Google Scholar</a></p> </div> <div class="reference-text volume-info-text"> <p> <span>[19]</span> D. Wu, L. Huang, B. Pan, Y. Wang, S. Wu, Experimental study and numerical simulation of active vibration control of a highly flexible beam using piezoelectric intelligent material, Aerospace Science and Technology. 37 (2014) 10–19. </p> <p> DOI: <a href="https://doi.org/10.1016/j.ast.2014.04.008">10.1016/j.ast.2014.04.008</a> </p> <p><a href="https://scholar.google.com/scholar_lookup?title=Experimental%20study%20and%20numerical%20simulation%20of%20active%20vibration%20control%20of%20a%20highly%20flexible%20beam%20using%20piezoelectric%20intelligent%20material&author=Dafang%20Wu&author=Liang%20Huang&author=Bing%20Pan&author=Yuewu%20Wang&author=Shuang%20Wu&publication_year=2014&journal=Aerospace%20Science%20and%20Technology&volume=37&pages=10-19&doi=10.1016%2Fj.ast.2014.04.008">Google Scholar</a></p> </div> <div class="reference-text volume-info-text"> <p> <span>[20]</span> T. Huu Quoc, T. Minh Tu, V. Van Tham, Free vibration analysis of smart laminated functionally graded CNT reinforced composite plates via new four-variable refined plate theory, Materials. 12 (2019) 3675. </p> <p> DOI: <a href="https://doi.org/10.3390/ma12223675">10.3390/ma12223675</a> </p> <p><a href="https://scholar.google.com/scholar_lookup?title=Free%20Vibration%20Analysis%20of%20Smart%20Laminated%20Functionally%20Graded%20CNT%20Reinforced%20Composite%20Plates%20via%20New%20Four-Variable%20Refined%20Plate%20Theory&author=Tran%20Huu%20Quoc&author=Tran%20Minh%20Tu&author=Vu%20Van%20Tham&publication_year=2019&journal=Materials&volume=12&issue=22&pages=3675&doi=10.3390%2Fma12223675">Google Scholar</a></p> </div> <div class="reference-text volume-info-text"> <p> <span>[21]</span> A.M.K. Esawi, M.M. Farag, Carbon nanotube reinforced composites: potential and current challenges, Materials & Design. 28 (2007) 2394–2401. </p> <p> DOI: <a href="https://doi.org/10.1016/j.matdes.2006.09.022">10.1016/j.matdes.2006.09.022</a> </p> <p><a href="https://scholar.google.com/scholar_lookup?title=Carbon%20nanotube%20reinforced%20composites%3A%20Potential%20and%20current%20challenges&author=Amal%20M.K.%20Esawi&author=Mahmoud%20M.%20Farag&publication_year=2007&journal=Materials%20%26amp%3B%20Design&volume=28&issue=9&pages=2394-2401&doi=10.1016%2Fj.matdes.2006.09.022">Google Scholar</a></p> </div> <div class="reference-text volume-info-text"> <p> <span>[22]</span> J. Yang, Introduction To The Mathematical Theory Of Vibrations Of Elastic Plates, An-By RD Mindlin, World Scientific, (2006). </p> <p><a href="https://scholar.google.com/scholar?q=J.%20Yang%2C%20Introduction%20To%20The%20Mathematical%20Theory%20Of%20Vibrations%20Of%20Elastic%20Plates%2C%20An-By%20RD%20Mindlin%2C%20World%20Scientific%2C%20%282006%29.">Google Scholar</a></p> </div> <div class="reference-text volume-info-text"> <p> <span>[23]</span> J.N. Reddy, Mechanics of laminated composite plates and shells: theory and analysis, CRC press, (2003). </p> <p><a href="https://scholar.google.com/scholar?q=J.N.%20Reddy%2C%20Mechanics%20of%20laminated%20composite%20plates%20and%20shells%3A%20theory%20and%20analysis%2C%20CRC%20press%2C%20%282003%29.">Google Scholar</a></p> </div> <div class="reference-text volume-info-text"> <p> <span>[24]</span> H.F. Tiersten, Linear Piezoelectric Plate Vibrations. Plenum Press, New York (1969)., (n.d.). </p> <p><a href="https://scholar.google.com/scholar?q=H.F.%20Tiersten%2C%20Linear%20Piezoelectric%20Plate%20Vibrations.%20Plenum%20Press%2C%20New%20York%20%281969%29.%2C%20%28n.d.%29.">Google Scholar</a></p> </div> <div class="reference-text volume-info-text"> <p> <span>[25]</span> C.-K. Lee, Theory of laminated piezoelectric plates for the design of distributed sensors/actuators. Part I: Governing equations and reciprocal relationships, The Journal of the Acoustical Society of America. 87 (1990) 1144–1158. </p> <p> DOI: <a href="https://doi.org/10.1121/1.398788">10.1121/1.398788</a> </p> <p><a href="https://scholar.google.com/scholar_lookup?title=Theory%20of%20laminated%20piezoelectric%20plates%20for%20the%20design%20of%20distributed%20sensors%2Factuators.%20Part%20I%3A%20Governing%20equations%20and%20reciprocal%20relationships&author=C.%20K.%20Lee&publication_year=1990&journal=The%20Journal%20of%20the%20Acoustical%20Society%20of%20America&volume=87&issue=3&pages=1144-1158&doi=10.1121%2F1.398788">Google Scholar</a></p> </div> <div class="reference-text volume-info-text"> <p> <span>[26]</span> H.S. Tzou, Piezoelectric shells, Springer, (1993). </p> <p><a href="https://scholar.google.com/scholar?q=H.S.%20Tzou%2C%20Piezoelectric%20shells%2C%20Springer%2C%20%281993%29.">Google Scholar</a></p> </div> <div class="reference-text volume-info-text"> <p> <span>[27]</span> G. Dhatt, G. Touzot, E. Lefrançois, Méthode des éléments finis, Lavoisier, (2005). </p> <p><a href="https://scholar.google.com/scholar?q=G.%20Dhatt%2C%20G.%20Touzot%2C%20E.%20Lefran%C3%A7ois%2C%20M%C3%A9thode%20des%20%C3%A9l%C3%A9ments%20finis%2C%20Lavoisier%2C%20%282005%29.">Google Scholar</a></p> </div> <div class="reference-text volume-info-text"> <p> <span>[28]</span> M. Ezzraimi, R. Tiberkak, A. Melbous, S. Rechak, LQR and PID algorithms for vibration control of piezoelectric composite plates, Mechanics. 24 (2018) 734–740. </p> <p> DOI: <a href="https://doi.org/10.5755/j01.mech.24.5.20645">10.5755/j01.mech.24.5.20645</a> </p> <p><a href="https://scholar.google.com/scholar_lookup?title=LQR%20and%20PID%20Algorithms%20for%20Vibration%20Control%20of%20Piezoelectric%20Composite%20Plates&author=Madjid%20EZZRAIMI&author=Rachid%20TIBERKAK&author=Abdelkader%20MELBOUS&author=Said%20RECHAK&publication_year=2018&journal=Mechanics&volume=24&issue=5&doi=10.5755%2Fj01.mech.24.5.20645">Google Scholar</a></p> </div> <div class="reference-text volume-info-text"> <p> <span>[29]</span> G.R. Liu, K.Y. Dai, K.M. Lim, Static and vibration control of composite laminates integrated with piezoelectric sensors and actuators using the radial point interpolation method, Smart Materials and Structures. 13 (2004) 1438. </p> <p> DOI: <a href="https://doi.org/10.1088/0964-1726/13/6/015">10.1088/0964-1726/13/6/015</a> </p> <p><a href="https://scholar.google.com/scholar_lookup?title=Static%20and%20vibration%20control%20of%20composite%20laminates%20integrated%20with%20piezoelectric%20sensors%20and%20actuators%20using%20the%20radial%20point%20interpolation%20method&author=G%20R%20Liu&author=K%20Y%20Dai&author=K%20M%20Lim&publication_year=2004&journal=Smart%20Materials%20and%20Structures&volume=13&issue=6&pages=1438-1447&doi=10.1088%2F0964-1726%2F13%2F6%2F015">Google Scholar</a></p> </div> <div class="reference-text volume-info-text"> <p> <span>[30]</span> P. Phung-Van, T. Nguyen-Thoi, T. Le-Dinh, H. Nguyen-Xuan, Static and free vibration analyses and dynamic control of composite plates integrated with piezoelectric sensors and actuators by the cell-based smoothed discrete shear gap method (CS-FEM-DSG3), Smart Materials and Structures. 22 (2013) 95026. </p> <p> DOI: <a href="https://doi.org/10.1088/0964-1726/22/9/095026">10.1088/0964-1726/22/9/095026</a> </p> <p><a href="https://scholar.google.com/scholar_lookup?title=Static%20and%20free%20vibration%20analyses%20and%20dynamic%20control%20of%20composite%20plates%20integrated%20with%20piezoelectric%20sensors%20and%20actuators%20by%20the%20cell-based%20smoothed%20discrete%20shear%20gap%20method%20%28CS-FEM-DSG3%29&author=P%20Phung-Van&author=T%20Nguyen-Thoi&author=T%20Le-Dinh&author=H%20Nguyen-Xuan&publication_year=2013&journal=Smart%20Materials%20and%20Structures&volume=22&issue=9&pages=095026&doi=10.1088%2F0964-1726%2F22%2F9%2F095026">Google Scholar</a></p> </div> <div class="reference-text volume-info-text"> <p> <span>[31]</span> P. Phung-Van, L. De Lorenzis, C.H. Thai, M. Abdel-Wahab, H. Nguyen-Xuan, Analysis of laminated composite plates integrated with piezoelectric sensors and actuators using higher-order shear deformation theory and isogeometric finite elements, Computational Materials Science. 96 (2015) 495–505. </p> <p> DOI: <a href="https://doi.org/10.1016/j.commatsci.2014.04.068">10.1016/j.commatsci.2014.04.068</a> </p> <p><a href="https://scholar.google.com/scholar_lookup?title=Analysis%20of%20laminated%20composite%20plates%20integrated%20with%20piezoelectric%20sensors%20and%20actuators%20using%20higher-order%20shear%20deformation%20theory%20and%20isogeometric%20finite%20elements&author=P.%20Phung-Van&author=L.%20De%20Lorenzis&author=Chien%20H.%20Thai&author=M.%20Abdel-Wahab&author=H.%20Nguyen-Xuan&publication_year=2015&journal=Computational%20Materials%20Science&volume=96&pages=495-505&doi=10.1016%2Fj.commatsci.2014.04.068">Google Scholar</a></p> </div> </div> </div> </div> </div> </div> </div> </div> </div> <div class="related-article cited-collapse col-xs-12"> <div class="row"> <div class="view"> <div class="panel-group" id="cited-panel"> <div class="panel panel-default"> <div class="panel-heading"> <a id="citedby-link" class="panel-title bold-large-text icon-container" data-toggle="collapse" data-parent="#cited-panel-" data-paper-id="590135" href="#citedby-root"> Cited by <i class="inline-icon arrow-right-black"></i> </a> </div> <div id="citedby-root" class="panel-collapse collapse"> <span class="busy-icon"></span> </div> </div> </div> </div> </div> </div> <div class="related-article related-collapse col-xs-12"> <div class="row"> <div class="view"> <div class="panel-group" id="related-articles-panel"> <div class="panel panel-default"> <div class="panel-heading"> <a id="related-articles-link" class="panel-title bold-large-text icon-container" data-toggle="collapse" data-parent="#related-articles-panel" href="#related-articles-root"> Related Articles <i class="inline-icon arrow-right-black"></i> </a> </div> <div id="related-articles-root" class="panel-collapse collapse"> <span class="busy-icon"></span> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> <div id="author-message-modal" class="modal fade" tabindex="-1" role="dialog"></div> <div id="citations-modal" class="modal fade" role="dialog"> <div class="modal-dialog popup"> <div class="popup-page-name underline-begin"> <div class="page-name-block-text">Citation</div> </div> <a class="inline-icon close-icon" data-dismiss="modal" title="Close"></a> <div class="modal-body"> <div id="citations-modal-content"></div> </div> </div> </div> <div id="addToCart" class="modal fade" tabindex="-1" role="dialog"> <div class="modal-dialog" role="document"> <div class="popup-page-name underline-begin"> <div class="page-name-block-text">Add To Cart</div> </div> <div class="shopping-cart-block"> <div class="popup-cart-block-image"> <i class="inline-icon add-paper-icon"></i> </div> <div class="popup-cart-block-text"> <p>Paper price: <span id="popup-paper-price"></span></p> <p>After payment, you will receive an email with instructions and a link to download the purchased paper.</p> <p>You may also check the possible access via personal account by logging in or/and check access through your institution.</p> </div> </div> <div class="popup-block-buttons clearfix"> <div class="three-buttons-block"> <a data-dismiss="modal" class="button button-95 button-grey icon-container"> <i class="inline-icon button-arrow-back-black button-icon-left"></i> <span class="inline-element">Back</span> </a> <button data-url="/Cart/AddPaper" data-paperid="590135" id="addPaperButton" class="button button-160" disabled> <span class="inline-element">Add to Cart</span> <i class="inline-icon cart-icon-white button-icon-right"></i> </button> </div> </div> <a data-dismiss="modal" title="Close" class="inline-icon close-icon"></a> </div> </div> <div id="addedToCart" class="modal fade" tabindex="-1" role="dialog"> <div class="modal-dialog" role="document"> <div class="popup-page-name underline-begin"> <div class="page-name-block-text">Add To Cart</div> </div> <div class="shopping-cart-block"> <div class="popup-cart-block-image"> <i class="inline-icon add-paper-icon"></i> </div> <div class="popup-cart-block-text"> <p>This paper has been added to your cart</p> </div> </div> <div class="popup-block-buttons clearfix"> <div class="three-buttons-block"> <a data-dismiss="modal" class="button button-95 button-grey icon-container"> <i class="inline-icon button-arrow-back-black button-icon-left"></i> <span class="inline-element">Back</span> </a> <a href="https://main.scientific.net/Payment/Cart" class="button button-160"> <span class="inline-element">To Cart</span> <i class="inline-icon cart-icon-white button-icon-right"></i> </a> </div> </div> <a data-dismiss="modal" title="Close" class="inline-icon close-icon"></a> </div> </div> <div class="social-icon-popup"> <a href="https://www.facebook.com/Scientific.Net.Ltd/" target="_blank" rel="noopener" title="Scientific.Net"><i class="inline-icon facebook-popup-icon social-icon"></i></a> <a href="https://twitter.com/Scientific_Net/" target="_blank" rel="noopener" title="Scientific.Net"><i class="inline-icon twitter-popup-icon social-icon"></i></a> <a href="https://www.linkedin.com/company/scientificnet/" target="_blank" rel="noopener" title="Scientific.Net"><i class="inline-icon linkedin-popup-icon social-icon"></i></a> </div> </div> <div class="sc-footer"> <div class="footer-fluid"> <div class="container"> <div class="row"> <div class="footer-menu col-md-12 col-sm-12 col-xs-12"> <ul class="list-inline menu-font"> <li><a href="/ForLibraries">For Libraries</a></li> <li><a href="/ForPublication/Paper">For Publication</a></li> <li><a href="/insights" target="_blank">Insights</a></li> <li><a href="/DocuCenter">Downloads</a></li> <li><a href="/Home/AboutUs">About Us</a></li> <li><a href="/PolicyAndEthics/PublishingPolicies">Policy & Ethics</a></li> <li><a href="/Home/Contacts">Contact Us</a></li> <li><a href="/Home/Imprint">Imprint</a></li> <li><a href="/Home/PrivacyPolicy">Privacy Policy</a></li> <li><a href="/Home/Sitemap">Sitemap</a></li> <li><a href="/Conferences">All Conferences</a></li> <li><a href="/special-issues">All Special Issues</a></li> <li><a href="/news/all">All News</a></li> <li><a href="/read-and-publish-agreements">Read & Publish Agreements</a></li> </ul> </div> </div> </div> </div> <div class="line-footer"></div> <div class="footer-fluid"> <div class="container"> <div class="row"> <div class="col-xs-12"> <a href="https://www.facebook.com/Scientific.Net.Ltd/" target="_blank" rel="noopener" title="Scientific.Net"><i class="inline-icon facebook-footer-icon social-icon"></i></a> <a href="https://twitter.com/Scientific_Net/" target="_blank" rel="noopener" title="Scientific.Net"><i class="inline-icon twitter-footer-icon social-icon"></i></a> <a href="https://www.linkedin.com/company/scientificnet/" target="_blank" rel="noopener" title="Scientific.Net"><i class="inline-icon linkedin-footer-icon social-icon"></i></a> </div> </div> </div> </div> <div class="line-footer"></div> <div class="footer-fluid"> <div class="container"> <div class="row"> <div class="col-xs-12 footer-copyright"> <p> © 2024 Trans Tech Publications Ltd. All rights are reserved, including those for text and data mining, AI training, and similar technologies. For open access content, terms of the Creative Commons licensing CC-BY are applied. <br />Scientific.Net is a registered trademark of Trans Tech Publications Ltd. </p> </div> </div> </div> </div> </div> <a class="scrollTop inline-icon scroll-top-icon" href="#" style="display: none"></a> </div> <script src="/Scripts/public.min.js?v=BtSq2PJEHRTW2PekpQGgIQKs7-OSPiKhsoI9rMs6kTU"></script> <script src="https://scholar.google.com/scholar_js/casa.js" async></script> <script async type="application/javascript" src="https://cdn.scite.ai/badge/scite-badge-latest.min.js"></script> <script> $(function () { var statisticsDownloadedHandler = function ($element) { return function (count) { $element.text(count); $element.parent().removeClass("loading"); }; }; $.get("/Paper/GetDownloadsAndVisitorsCount?paperId=590135", statisticsDownloadedHandler($("#paperDownloadsAndVisitorsCount"))); $.ajax({method: "GET", url: "/Paper/GetPrice?paperId=590135" }) .retry({times: 3, timeout: 3000 }) .done(function (price) { $("#paper-price-info").html(price); $("#popup-paper-price").html(price); $("#addPaperButton").removeAttr("disabled"); }); $("#paperCitationsButton").on("click", function (e) { e.preventDefault(); Scinet.busy.lock(); var $modal = $("#citations-modal"), $modalContent = $("#citations-modal-content"); $.get("/Paper/Citations?doi=10.4028%2Fp-109719") .done(function (content) { Scinet.busy.unlock(); $modalContent.html(content); $modal.modal(); }) .fail(function () { Scinet.busy.unlock(); Scinet.error("The DOI has not been activated yet. Please try again later."); }); }); $("#ask-by-email-button") .on("click", function (e) { e.preventDefault(); var url = $(this).data("url"); $("#ask-by-email-modal") .load(url, function () { $("#ask-by-email-modal").modal(); }); }); $("#downloadPdfButton").on("click", function () { Scinet.busy.lock(); setTimeout(Scinet.busy.unlock, 8000); }); var readThePaperLogged = false; $("#readPaperButton").on( "click", function (e) { e.preventDefault(); $("#addToCart").modal(); if (!readThePaperLogged) { var url = $("#readPaperButton").data("urlReadPaperLog"); $.ajax({ url: url }); readThePaperLogged = true; } }); $("#addPaperButton").on( "click", function (e) { e.preventDefault(); var $button = $(this), url = $button.data("url"), paperId = $button.data("paperid"); $.post(url, { paperId: paperId }) .done( function () { Scinet.public.loadCartInfo(); $('#addToCart').modal('hide'); $("#addedToCart").modal(); }); }); $(".paper-title-main-page a.panel-title").on("click", function () { $(this).toggleClass("active"); }); $(".author-send-message").on("click", function (e) { e.preventDefault(); var url = $(this).data("url"), $modal = $("#author-message-modal"); $modal.load(url, function () { $modal.modal(); }); }); var previewLogged = false; $("#preview-button") .on("click", function () { $("#paper-preview-modal").modal(); if (!previewLogged) { var url = $(this).data("url-preview-log"); $.ajax({ url: url }); previewLogged = true; } }); function getCitedByInfo(page) { var $citedbyroot = $("#citedby-root"); var paperId = $("#citedby-link").data("paper-id"); if (paperId && page) { $.ajax( { method: "GET", url: "/Paper/CitedBy", data: { paperId: paperId, pageNumber: page } }) .done( function (response) { $citedbyroot.html(response); $(".citedby-paginator").on("click", function () { var pageNumber = $(this).attr("page"); getCitedByInfo(pageNumber); }); }) .fail( function (request, status, error) { $citedbyroot .html('<div style="color: red; padding-top: 30px; padding-bottom: 30px;"><p>' + error + "</p></div>"); }); } } $("#citedby-link") .on("click", function () { var $citedbyroot = $("#citedby-root"); if (!$citedbyroot.data("loaded")) { getCitedByInfo(1); $citedbyroot.data("loaded", true); } }); $("#citations-modal-content") .on("click", ".citations-list-item-value a", function (e) { e.preventDefault(); }); var clipboard = new ClipboardJS("#citations-modal-content .citations-list-item .inline-icon"); clipboard.on("success", function (e) { var $icon = $(e.trigger); var originalName = "data-original-title"; var prevTitle = $icon.attr(originalName); $icon.addClass("icon-copied").removeClass("icon-copy"); $icon.attr(originalName, "Copied!").tooltip("show"); setTimeout(function () { $icon.attr(originalName, prevTitle).tooltip("hide"); $icon.addClass("icon-copy").removeClass("icon-copied"); }, 3000); e.clearSelection(); }); function getRelatedArticles() { var $releatedArticlesRoot = $("#related-articles-root"); $.ajax( { method: "GET", url: "/Paper/RelatedArticles?paperId=590135" }) .done( function (response) { $releatedArticlesRoot.html(response); }) .fail( function (request, status, error) { $releatedArticlesRoot .html('<div style="color: red; padding-top: 30px; padding-bottom: 30px;"><p>Server Error. Sorry for the inconvenience. Our team is working to fix this internal error. Please check back shortly.</p></div>'); }); } $("#related-articles-link") .on("click", function () { var $releatedArticlesRoot = $("#related-articles-root"); if (!$releatedArticlesRoot.data("loaded")) { getRelatedArticles(); $releatedArticlesRoot.data("loaded", true); } }) $("body").tooltip({ selector: "[data-toggle=tooltip]" }); }); $(document) .ready( function () { var isHidden = sessionStorage.getItem('isPublicMessagesHidden'); if (isHidden === 'true') { $('.message-container').hide(); } $('#hide-button') .click( function (event) { event.preventDefault(); $('.message-container').hide(); sessionStorage.setItem('isPublicMessagesHidden', 'true'); }); }); </script> <script asp-render-component-scripts> (function (w, a, y, f) { w._wayfinder = w._wayfinder || function () { (w._wayfinder.q = w._wayfinder.q || []).push(arguments) }; p = { oaDomain: 'scientific.net', oaAppId: '9a54dd64-0769-4f59-a7ec-b249515c9de7' }; w._wayfinder.settings = p; w._wayfinder.options = { rememberCrossSite: false }; h = a.getElementsByTagName('head')[0]; s = a.createElement('script'); s.async = 1; q = Object.keys(p).map(function (key) { return key + '=' + p[key] }).join('&'); s.src = y + 'v1' + f + "?" + q; h.appendChild(s); } )(window, document, 'https://wayfinder.openathens.net/embed/', '/loader.js'); $(function () { var wayfinderEnabled = true; $("#sa-button").on("click", function (e) { if (wayfinderEnabled) { setTargetPageCookie(); } else { e.preventDefault(); setTargetPageCookie(); window.location.href = this.href; } }); function setTargetPageCookie() { var in5Minutes = 1 / 3600 * 5; Cookies.set("Scinet.TargetPage", window.location.href, { domain: ".scientific.net", expires: in5Minutes, secure: true }); } }); Scinet.public = (function () { function loadCartInfo(onLoad) { var formatCartItemCount = function (count) { var format = (count > 1 || count === 0) ? "{0} items" : "{0} item"; $("#cartInfoTotalItemsCount").html(Scinet.stringFormat(format, count)); }, cookieCartItemCount = Cookies.get("Scinet5.CartItemsCount"); if (onLoad && cookieCartItemCount != null) { formatCartItemCount(parseInt(cookieCartItemCount, 10)); } else { $.ajax({ url: "/Cart/GetItemsCount", cache: false }) .done( function (count) { Cookies.set("Scinet5.CartItemsCount", count, { domain: ".scientific.net", secure: true }); formatCartItemCount(count); }); } } return { loadCartInfo: loadCartInfo }; })(); $(function () { Scinet.public.loadCartInfo(true); $("[data-add-book-to-cart]").on("click", function (e) { e.preventDefault(); var data = $(this).data("add-book-to-cart"); console.log(data); var url = "/Cart/AddBook"; $.post(url, data) .done( function () { Scinet.public.loadCartInfo(); $("#addToCart").modal(); }) .fail( function (xhr) { Scinet.error(xhr.responseText); }); }) }); </script> <script> var $buoop = { required: { e: 11, f: -6, o: -6, s: -3, c: -6 }, insecure: false, unsupported: false, api: 2019.11, reminder: 0, onshow: function () { window.browserUpdateOutdated = true; } }; function $buo_f() { var e = document.createElement("script"); e.src = "//browser-update.org/update.min.js"; document.body.appendChild(e); }; try { document.addEventListener("DOMContentLoaded", $buo_f, false) } catch (e) { window.attachEvent("onload", $buo_f) } </script>   <script> window.clientErrorLogActionUrl = "/Errors/LogClientError"; </script> </body> </html>

CINXE.COM

Piezoelectric Patches for Deflection Control of Functionally Graded Carbon Nanotube-Reinforced Composite Plates | Scientific.Net