Journal ArticleDOI
Non-linear flexural vibrations of orthotropic rectangular plates
M.K. Prabhakara,C. Y. Chia +1 more
TLDR
In this paper, an analytical analysis of free flexural large amplitude vibrations of orthotropic rectangular plates with all-clamped and all-simply supported stress-free edges is presented.About:
This article is published in Journal of Sound and Vibration.The article was published on 1977-06-22. It has received 43 citations till now. The article focuses on the topics: Orthotropic material & Boundary value problem.read more
Citations
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Journal ArticleDOI
Geometrically nonlinear vibration analysis of thin, rectangular plates using the hierarchical finite element method—I: The fundamental mode of isotropic plates
TL;DR: In this article, the von Karman type of geometrically nonlinear strain-displacement relationships, and harmonic balance method were used in deriving the equation of motion.
Journal ArticleDOI
Geometrically nonlinear vibration analysis of thin, rectangular plates using the hierarchical finite element method—II: 1st mode of laminated plates and higher modes of isotropic and laminated plates
TL;DR: In this article, the geometrically nonlinear free vibration of symmetrically laminated rectangular plates (1st and higher modes) and the higher mode of an isotropic plate with fully clamped boundary conditions is studied, using the hierarchical finite element method (HFEM).
Journal ArticleDOI
Geometrically non-linear free vibration of fully clamped symmetrically laminated rectangular composite plates
B. Harras,R. Benamar,R.G. White +2 more
TL;DR: In this article, the geometrically non-linear free vibration of thin composite laminated plates is investigated by using a theoretical model based on Hamilton's principle and spectral analysis previously applied to obtain the nonlinear mode shapes and resonance frequencies of thin straight structures, such as beams, plates and shells.
Journal ArticleDOI
Finite Element Method for Nonlinear Free Vibrations of Composite Plates
TL;DR: In this paper, a multimode time-domain modal formulation based on the finite element method for large-amplitude free vibration of thin composite plates is presented, and accurate frequency-maximum deflection relations can be predicted for the fundamental and the higher nonlinear modes.
Journal ArticleDOI
The effects of large vibration amplitudes on the axisymmetric mode shapes and natural frequencies of clamped thin isotropic circular plates. Part II: iterative and explicit analytical solution for non-linear coupled transverse and in-plane vibrations
M. Haterbouch,R. Benamar +1 more
TL;DR: In this paper, a more realistic and complete study of the geometrically non-linear free vibrations of clamped immovable circular plates by taking into account the in-plane deformation is presented.
References
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Journal ArticleDOI
Influence of Large Amplitudes on Flexural Vibrations of Elastic Plates
TL;DR: In this paper, approximate solutions for the nonlinear bending vibrations of thin plates are presented for the cases of rectangular and circular plates subjected to various boundary conditions, and the effects of large amplitudes on both the free and forced vibrations are clarified.
Journal ArticleDOI
On the Nonlinear Oscillations of Plates Composed of Composite Materials
Cheng-Ih Wu,Jack R. Vinson +1 more
TL;DR: In this article, the Berger's approach for large deflections and a modified Reissner's variational principle are exploited to treat the nonlinear dynamic problem of plate deflection.
Journal ArticleDOI
Large deflection vibration of angle ply laminated plates
Ramesh Chandra,B. Basava Raju +1 more
TL;DR: In this paper, the large deflection vibration of unsymmetric angle ply laminated rectangular plates is studied and two different out-of-plane boundary conditions considered are (a) all the edges clamped, and (b) all edges simply supported.
Journal ArticleDOI
Nonlinear Analysis of Orthotropic Plates
C. Y. Chia,M. K. Prabhakara +1 more
TL;DR: In this paper, the large deflection of a rectangular orthotropic plate subjected to the combined action of edge compression and transverse load is investigated on the basis of von Karman-type large-deflection equations.