Journal ArticleDOI
Studies on the response of a square plate with variable thickness excited by uniformly distributed load
P.K. Roy,N. Ganesan +1 more
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TLDR
In this article, a detailed study on the effect of different types of thickness profile and thickness variations on the response of a plate is conducted for three boundary conditions, namely (a) clamped at all the edges, (b) simply supported at all edges and (c) one edge clamped and others free.About:
This article is published in Computers & Structures.The article was published on 1992-10-17. It has received 8 citations till now.read more
Citations
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Journal ArticleDOI
Vibro-acoustic behavior of an isotropic plate with arbitrarily varying thickness
TL;DR: In this paper, the authors present numerical simulation studies on the vibro-acoustic characteristics of an isotropic square plate with six different types of unidirectionally, arbitrarily varying thickness.
Reliability quantification of plates subjected to random vibration and temperature loads
TL;DR: In this article, a random vibration analysis model for packaged plates is proposed for base excited random vibration coupled with temperature loads, and a reliability quantification model is proposed, too, based on this model, and the closed form solution for IWN is derived and the numerical procedure for BLWN is presented.
Journal ArticleDOI
A Comparison of Vibroacoustic Response of Isotropic Plate with Attached Discrete Patches and Point Masses Having Different Thickness Variation with Different Taper Ratios
Bipin Kumar,Vinayak Ranjan,Mohammad Sikandar Azam,Piyush Pratap Singh,Pawan Kumar Mishra,K. Priya Ajit,Praveen Kumar +6 more
TL;DR: In this paper, a comparison of sound radiation behavior of plate in air medium with attached discrete patches/point masses having different thickness variations with different taper ratio of 0.3, 0.6, and 0.9 is analyzed.
Journal ArticleDOI
Forced axi-symmetric response of polar orthotropic linearly tapered circular plates
U.S. Gupta,A.H. Ansari +1 more
TL;DR: Forced axi-symmetric vibrations of polar orthotropic linearly tapered circular plates are discussed in this article on the basis of classical plate theory and the Ritz method has been employed to obtain the solutions.
Journal ArticleDOI
Forced axisymmetric response of linearly tapered circular plates
Ashish Gupta,Navneet Goyal +1 more
TL;DR: Forced axisymmetric response of a circular plate of linearly varying thickness, based on the classical theory, is analyzed by the eigen-function method as mentioned in this paper, and exact solution for the free vibration mode shapes is obtained by the Frobenius method.
References
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The finite element method
TL;DR: In this article, the methodes are numeriques and the fonction de forme reference record created on 2005-11-18, modified on 2016-08-08.
Journal ArticleDOI
Transverse Vibrations of a Trapezoidal Cantilever Plate of Variable Thickness
TL;DR: In this paper, the natural frequencies of a trapezoidal cantilever plate of variable thickness were determined using energy techniques, and the fundamental natural frequencies for different parameter values were also obtained using a deflection function containing an optimized exponent.
Journal ArticleDOI
Vibrational frequencies of clamped plates of variable thickness
J.R. Kuttler,V.G. Sigillito +1 more
TL;DR: In this article, a method for computing lower and upper bounds for vibrational frequencies of clamped plates with general thickness variations is presented, illustrated for plates with linear tapers, and shown for clamped plate with a linear taper.
Journal ArticleDOI
Vibrations of rectangular plates of bilinearly varying thickness and with general boundary conditions
TL;DR: In this article, the fundamental frequency of a rectangular plate having a thickness which varies in a bilinear fashion in the x-direction is derived by making use of the Ritz method and expressing the fundamental displacement function in terms of a polynomial co-ordinate function which satisfies approximately the natural boundary conditions.
Journal ArticleDOI
On the vibration of skew plates of variable thickness
TL;DR: In this article, the determination of the natural frequencies of a vibrating skew plate with variable thickness was studied, where free and forced vibrations were treated for different ratios of the sides, skew angle and taper constant.
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