Nonlinear resonance of rectangular plates

Abstract

Restricted accessMoreSectionsView PDF ToolsAdd to favoritesDownload CitationsTrack Citations ShareShare onFacebookTwitterLinked InRedditEmail Cite this article Geveci Berk and Walker J.D.A. 2001Nonlinear resonance of rectangular platesProc. R. Soc. Lond. A.4571215–1240http://doi.org/10.1098/rspa.2000.0716SectionRestricted accessResearch articleNonlinear resonance of rectangular plates Berk Geveci Berk Geveci Department of Mechanical Engineering and Mechanics, Lehigh University, Bethlehem, PA 18015, USA () Google Scholar Find this author on PubMed Search for more papers by this author and J.D.A. Walker J.D.A. Walker Department of Mechanical Engineering and Mechanics, Lehigh University, Bethlehem, PA 18015, USA () Google Scholar Find this author on PubMed Search for more papers by this author Berk Geveci Berk Geveci Department of Mechanical Engineering and Mechanics, Lehigh University, Bethlehem, PA 18015, USA () Google Scholar Find this author on PubMed Search for more papers by this author and J.D.A. Walker J.D.A. Walker Department of Mechanical Engineering and Mechanics, Lehigh University, Bethlehem, PA 18015, USA () Google Scholar Find this author on PubMed Search for more papers by this author Published:08 May 2001https://doi.org/10.1098/rspa.2000.0716AbstractNonlinear flow–induced oscillations of a thin rectangular plate are studied using a spectral method to calculate the vertical and tangential displacements. When the plate is subjected to forcing near the first linear resonance frequency, a complex motion with amplitude comparable to the plate thickness occurs in the form of a modulated high–frequency vibration. Numerical solutions for two– and three–dimensional plates are obtained to establish the nature of these oscillations. The numerical results are supported by an asymptotic analysis describing nonlinear resonance for rectangular plates. Previous ArticleNext Article VIEW FULL TEXT DOWNLOAD PDF FiguresRelatedReferencesDetailsCited by Rdzanek W, Wiciak J and Pawelczyk M (2022) Analysis of sound radiation from a vibrating elastically supported annular plate using compatibility layer and radial polynomials, Journal of Sound and Vibration, 10.1016/j.jsv.2021.116593, 519, (116593), Online publication date: 1-Feb-2022. Goh M, Chiew Y and Foo J (2021) Fractal-induced 2D flexible net undulation, Scientific Reports, 10.1038/s41598-021-86418-5, 11:1 Kodhanda A, Ali N, Sucheendran M and Talole S (2017) Robust control of nonlinear resonance in a clamped rectangular plate, Journal of Vibration and Control, 10.1177/1077546317721419, 24:18, (4176-4194), Online publication date: 1-Sep-2018. Ali N and Mahesh M (2018) Effect of Aspect Ratio Change on Nonlinear Resonance of Rectangular Aircraft Panel Proceedings of the International Conference on Modern Research in Aerospace Engineering, 10.1007/978-981-10-5849-3_22, (211-220), . Hilmy I, Wahab M, Adesta E and Firdaus T (2015) Damage Detection based on the Natural Frequency shifting of a clamped rectangular plate model, Journal of Physics: Conference Series, 10.1088/1742-6596/628/1/012034, 628, (012034), Online publication date: 9-Jul-2015. Sucheendran M, Bodony D and Geubelle P (2014) Coupled Structural-Acoustic Response of a Duct-Mounted Elastic Plate with Grazing Flow, AIAA Journal, 10.2514/1.J052168, 52:1, (178-194), Online publication date: 1-Jan-2014. Sucheendran M, Bodony D and Geubelle P (2012) Coupled structural-acoustic response of a duct-mounted elastic plate with grazing flow 18th AIAA/CEAS Aeroacoustics Conference (33rd AIAA Aeroacoustics Conference), 10.2514/6.2012-2169, 978-1-60086-932-7, Online publication date: 4-Jun-2012. Safizadeh M, Darus I and Mailah M (2010) Calculating the frequency modes of flexible square plate using Finite Element and Finite Difference Methods Advanced Systems (ICIAS 2010), 10.1109/ICIAS.2010.5716169, 978-1-4244-6623-8, (1-4) This Issue08 May 2001Volume 457Issue 2009 Article InformationDOI:https://doi.org/10.1098/rspa.2000.0716Published by:Royal SocietyPrint ISSN:1364-5021Online ISSN:1471-2946History: Published online08/05/2001Published in print08/05/2001 License: Citations and impact Keywordsnonlinear resonanceflow–inducedvibrationsplate