Journal ArticleDOI
A non-linear dynamic lumped-parameter model of a rectangular plate
TLDR
In this paper, a lumped-parameter model of a rectangular plate is developed by assuming fundamental mode solutions and using Hamilton's Principle and the Euler equations to set up the differential equation of motion for the system.About:
This article is published in Journal of Sound and Vibration.The article was published on 1972-04-08. It has received 15 citations till now. The article focuses on the topics: Plate theory & Bending of plates.read more
Citations
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Journal ArticleDOI
Nonlinear vibrations of a clamped rectangular plate with initial deflection and initial edge displacement— Part II: Experiment
N. Yamaki,K. Otomo,M. Chiba +2 more
TL;DR: Theoretical analyses for nonlinear vibrations of a clamped rectangular plate under a uniformly distributed periodic load, with the effect of both initial deflection and initial edge displacement taken into consideration, are presented in this paper.
Journal ArticleDOI
Chebyshev series solution to non-linear boundary value problems in rectangular domain
Y. Nath,Sandeep Kumar +1 more
TL;DR: A methodology based on Chebyshev polynomials approximation to analyze the non-linear boundary value problems in rectangular domain is developed in this article, where the von Karman equations governing the behavior of moderately large deformations of rectangular plates are expressed in displacement field.
series solution to non-linear boundary value problems in rectangular domain
Y. Nath,Sandeep Kumar +1 more
TL;DR: A methodology based on Chebyshev polynomials approximation to analyze the non-linear boundary value problems in rectangular domain is developed in this paper, where the von K&man equations governing the behavior of moderately large deformations of rectangular plates are expressed in displacement field.
Journal ArticleDOI
A nonlinear SDOF model for blast response simulation of elastic thin rectangular plates
TL;DR: In this paper, the authors studied the blast response of rectangular elastic thin plates that undergo large deflections, as well as bending stresses and membrane stresses for plates with immovable edges and with fully clamped or simply supported flexural edge conditions.
Journal ArticleDOI
Application of Rayleigh-Ritz and Galerkin methods to non-linear vibration of plates
C.P. Vendhan,Y.C. Das +1 more
TL;DR: In this paper, the difference between the three variational equations of motion and the dynamic analogue of the von Karman equations governing the non-linear vibration of plates is considered in the context of the Rayleigh-Ritz and Galerkin methods.
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
Influence of Large Amplitudes on Free Flexural Vibrations of Rectangular Elastic Plates
Hu-Nan Chu,George Herrmann +1 more
Journal ArticleDOI
Nonlinear vibration of beams and rectangular plates
TL;DR: In this paper, einfluss von Vorspannungen auf die freien und erzwungenen nichtlinearen Schwingungen von Balken and rechteckigen Platten wird mittels einer einfachen Erweiterung der Losungen fur Falle ohne VorsPannung untersucht.
Related Papers (5)
Influence of Large Amplitudes on Free Flexural Vibrations of Rectangular Elastic Plates
Hu-Nan Chu,George Herrmann +1 more