Vibration of Functionally Graded Cylindrical Shells under Effects Clamped-Clamped Boundary Conditions

<!DOCTYPE html> <html lang="en" dir="ltr"> <head>  <script async src="https://www.googletagmanager.com/gtag/js?id=G-P63WKM1TM1"></script> <script> window.dataLayer = window.dataLayer || []; function gtag(){dataLayer.push(arguments);} gtag('js', new Date()); gtag('config', 'G-P63WKM1TM1'); </script>  <script type="text/javascript" > (function(m,e,t,r,i,k,a){m[i]=m[i]||function(){(m[i].a=m[i].a||[]).push(arguments)}; m[i].l=1*new Date(); for (var j = 0; j < document.scripts.length; j++) {if (document.scripts[j].src === r) { return; }} k=e.createElement(t),a=e.getElementsByTagName(t)[0],k.async=1,k.src=r,a.parentNode.insertBefore(k,a)}) (window, document, "script", "https://mc.yandex.ru/metrika/tag.js", "ym"); ym(55165297, "init", { clickmap:false, trackLinks:true, accurateTrackBounce:true, webvisor:false }); </script> <noscript><div><img src="https://mc.yandex.ru/watch/55165297" style="position:absolute; left:-9999px;" alt="" /></div></noscript>    <title>Vibration of Functionally Graded Cylindrical Shells under Effects Clamped-Clamped Boundary Conditions</title> <meta name="description" content="Vibration of Functionally Graded Cylindrical Shells under Effects Clamped-Clamped Boundary Conditions"> <meta name="keywords" content="Vibration, FGM, Cylindrical shell, Hamilton's principle."> <meta name="viewport" content="width=device-width, initial-scale=1, minimum-scale=1, maximum-scale=1, user-scalable=no"> <meta charset="utf-8"> <meta name="citation_title" content="Vibration of Functionally Graded Cylindrical Shells under Effects Clamped-Clamped Boundary Conditions"> <meta name="citation_author" content="M.R.Alinaghizadehand"> <meta name="citation_author" content="M.R.Isvandzibaei"> <meta name="citation_publication_date" content="2011/01/27"> <meta name="citation_journal_title" content="International Journal of Mechanical and Mechatronics Engineering"> <meta name="citation_volume" content="5"> <meta name="citation_issue" content="1"> <meta name="citation_firstpage" 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href="https://publications.waset.org/search?q=M.R.Alinaghizadehand">M.R.Alinaghizadehand</a>, <a href="https://publications.waset.org/search?q=M.R.Isvandzibaei"> M.R.Isvandzibaei</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Study of the vibration cylindrical shells made of a functionally gradient material (FGM) composed of stainless steel and nickel is important. Material properties are graded in the thickness direction of the shell according to volume fraction power law distribution. The objective is to study the natural frequencies, the influence of constituent volume fractions and the effects of boundary conditions on the natural frequencies of the FG cylindrical shell. The study is carried out using third order shear deformation shell theory. The governing equations of motion of FG cylindrical shells are derived based on shear deformation theory. Results are presented on the frequency characteristics, influence of constituent volume fractions and the effects of clampedclamped boundary conditions. <iframe src="https://publications.waset.org/10384.pdf" style="width:100%; height:400px;" frameborder="0"></iframe> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Vibration" title="Vibration">Vibration</a>, <a href="https://publications.waset.org/search?q=FGM" title=" FGM"> FGM</a>, <a href="https://publications.waset.org/search?q=Cylindrical%20shell" title=" Cylindrical shell"> Cylindrical shell</a>, <a href="https://publications.waset.org/search?q=Hamilton%27s%0Aprinciple." title=" Hamilton's principle."> Hamilton's principle.</a> </p> <p class="card-text"><strong>Digital Object Identifier (DOI):</strong> <a href="https://doi.org/10.5281/zenodo.1075134" target="_blank">doi.org/10.5281/zenodo.1075134</a> </p> <a href="https://publications.waset.org/10384/vibration-of-functionally-graded-cylindrical-shells-under-effects-clamped-clamped-boundary-conditions" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/10384/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/10384/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/10384/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/10384/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/10384/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/10384/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/10384/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/10384/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/10384/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/10384/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/10384.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">1533</span> </span> <p class="card-text"><strong>References:</strong></p> <br>[1] Arnold, R.N., Warburton, G.B., 1948. Flexural vibrations of the walls of thin cylindrical shells. Proceedings of the Royal Society of London A; 197:238-256. <br>[2] Ludwig, A., Krieg, R., 1981.An analysis quasi-exact method for calculating eigen vibrations of thin circular shells. J. Sound vibration; 74,155-174. <br>[3] Chung, H., 1981. Free vibration analysis of circular cylindrical shells. J. Sound vibration; 74, 331-359. <br>[4] Soedel, W., 1980.A new frequency formula for closed circular cylindrical shells for a large variety of boundary conditions. J. Sound vibration; 70,309-317. <br>[5] Forsberg, K., 1964. Influence of boundary conditions on modal characteristics of cylindrical shells. AIAA J; 2, 182- 189. <br>[6] Lam, K.L., Loy, C.T., 1995. Effects of boundary conditions on frequencies characteristics for a multi- layered cylindrical shell. J. Sound vibration; 188, 363-384 <br>[7] Loy, C.T., Lam, K.Y., 1996.Vibration of cylindrical shells with ring support. I.Joumal of Impact Engineering; 1996; 35:455. <br>[8] Koizumi, M., 1993. The concept of FGM Ceramic Transactions, Functionally Gradient Materials. <br>[9] Makino A, Araki N, Kitajima H, Ohashi K. Transient temperature response of functionally gradient material subjected to partial, stepwise heating. Transactions of the Japan Society of Mechanical Engineers, Part B 1994; 60:4200-6(1994). <br>[10] Anon, 1996.FGM components: PM meets the challenge. Metal powder Report. 51:28-32. <br>[11] Zhang, X.D., Liu, D.Q., Ge, C.C., 1994. Thermal stress analysis of axial symmetry functionally gradient materials under steady temperature field. Journal of Functional Materials; 25:452-5. <br>[12] Wetherhold, R.C., Seelman, S., Wang, J.Z., 1996. Use of functionally graded materials to eliminate or control thermal deformation. Composites Science and Technology; 56:1099-104. <br>[13] Najafizadeh, M.M., Hedayati, B. Refined Theory for Thermoelastic Stability of Functionally Graded Circular Plates. Journal of thermal stresses; 27:857-880. <br>[14] Soedel, W., 1981. Vibration of shells and plates. MARCEL DEKKER, INC, New York. <br>[15] Loy, C.T., Lam, K.Y., Reddy, J.N., 1999.Vibration of functionally graded cylindrical shells; 41:309-324. <br>[16] Najafizadeh, M.M., Isvandzibaei, M.R., 2007. Vibration of functionally graded cylindrical shells based on higher order shear deformation plate theory with ring support. Acta Mechanica; 191:75-91. </div> </div> </div> </main> <footer> <div id="infolinks" class="pt-3 pb-2"> <div class="container"> <div style="background-color:#f5f5f5;" class="p-3"> <div class="row"> <div class="col-md-2"> <ul class="list-unstyled"> About <li><a href="https://waset.org/page/support">About Us</a></li> <li><a href="https://waset.org/page/support#legal-information">Legal</a></li> <li><a target="_blank" rel="nofollow" href="https://publications.waset.org/static/files/WASET-16th-foundational-anniversary.pdf">WASET celebrates its 16th foundational anniversary</a></li> </ul> </div> <div class="col-md-2"> <ul class="list-unstyled"> Account <li><a href="https://waset.org/profile">My Account</a></li> </ul> </div> <div class="col-md-2"> <ul class="list-unstyled"> Explore <li><a href="https://waset.org/disciplines">Disciplines</a></li> <li><a href="https://waset.org/conferences">Conferences</a></li> <li><a href="https://waset.org/conference-programs">Conference Program</a></li> <li><a href="https://waset.org/committees">Committees</a></li> <li><a href="https://publications.waset.org">Publications</a></li> </ul> </div> <div class="col-md-2"> <ul class="list-unstyled"> Research <li><a href="https://publications.waset.org/abstracts">Abstracts</a></li> <li><a href="https://publications.waset.org">Periodicals</a></li> <li><a href="https://publications.waset.org/archive">Archive</a></li> </ul> </div> <div class="col-md-2"> <ul class="list-unstyled"> Open Science <li><a target="_blank" rel="nofollow" href="https://publications.waset.org/static/files/Open-Science-Philosophy.pdf">Open Science Philosophy</a></li> <li><a target="_blank" rel="nofollow" href="https://publications.waset.org/static/files/Open-Science-Award.pdf">Open Science Award</a></li> <li><a target="_blank" rel="nofollow" href="https://publications.waset.org/static/files/Open-Society-Open-Science-and-Open-Innovation.pdf">Open Innovation</a></li> <li><a target="_blank" rel="nofollow" href="https://publications.waset.org/static/files/Postdoctoral-Fellowship-Award.pdf">Postdoctoral Fellowship Award</a></li> <li><a target="_blank" rel="nofollow" href="https://publications.waset.org/static/files/Scholarly-Research-Review.pdf">Scholarly Research Review</a></li> </ul> </div> <div class="col-md-2"> <ul class="list-unstyled"> Support <li><a href="https://waset.org/page/support">Support</a></li> <li><a href="https://waset.org/profile/messages/create">Contact Us</a></li> <li><a href="https://waset.org/profile/messages/create">Report Abuse</a></li> </ul> </div> </div> </div> </div> </div> <div class="container text-center"> <hr style="margin-top:0;margin-bottom:.3rem;"> <a href="https://creativecommons.org/licenses/by/4.0/" target="_blank" class="text-muted small">Creative Commons Attribution 4.0 International License</a> <div id="copy" class="mt-2">© 2024 World Academy of Science, Engineering and Technology</div> </div> </footer> <a href="javascript:" id="return-to-top"><i class="fas fa-arrow-up"></i></a> <div class="modal" id="modal-template"> <div class="modal-dialog"> <div class="modal-content"> <div class="row m-0 mt-1"> <div class="col-md-12"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> </div> </div> <div class="modal-body"></div> </div> </div> </div> <script src="https://cdn.waset.org/static/plugins/jquery-3.3.1.min.js"></script> <script src="https://cdn.waset.org/static/plugins/bootstrap-4.2.1/js/bootstrap.bundle.min.js"></script> <script src="https://cdn.waset.org/static/js/site.js?v=150220211556"></script> <script> jQuery(document).ready(function() { /*jQuery.get("https://publications.waset.org/xhr/user-menu", function (response) { jQuery('#mainNavMenu').append(response); });*/ jQuery.get({ url: "https://publications.waset.org/xhr/user-menu", cache: false }).then(function(response){ jQuery('#mainNavMenu').append(response); }); }); </script> </body> </html>

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Vibration of Functionally Graded Cylindrical Shells under Effects Clamped-Clamped Boundary Conditions