Journal ArticleDOI
Vibrational frequencies of clamped plates of variable thickness
J.R. Kuttler,V.G. Sigillito +1 more
TLDR
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.About:
This article is published in Journal of Sound and Vibration.The article was published on 1983-01-22. It has received 16 citations till now.read more
Citations
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Journal ArticleDOI
Vibration of variable thickness plates with edges elastically restrained against translation and rotation
TL;DR: In this paper, the vibration analysis of variable thickness plates in one direction with edges elastically restrained against both rotation and translation is investigated using the finite strip transition matrix technique, and boundary conditions in the variable thickness direction are satisfied identically and the boundary condition in the other direction are approximated.
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.
Journal ArticleDOI
A BEM solution to dynamic analysis of plates with variable thickness
TL;DR: In this article, a boundary element method is developed for the dynamic analysis of plates with variable thickness, where the plate may have arbitrary shape and its boundary may be subjected to any type of boundary conditions.
Journal ArticleDOI
An analog equation solution to dynamic analysis of plates with variable thickness
TL;DR: In this article, the analog equation method (AEM) is applied to dynamic analysis of plates with variable thickness, both free and forced vibrations are considered, and the fourth order partial differential equation with variable coefficients governing the dynamic response of the plate is converted to a quasi-static plate bending problem under a fictitious time dependent load.
Book ChapterDOI
Special Methods for Plate Analysis
TL;DR: In this paper, the authors classified the special boundary element methods for the solution of plate bending problems into five groups: (a) Methods based on the biharmonic analysis, (b) Indirect boundary element method (IBEM), (c) Boundary differential-integral equation methods (BDIEMs), (d) Green's function methods (GFM), (e) Other methods which lack common characteristics.
References
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Book
Vibration of plates
TL;DR: The fundamental equation of classical plate theory can be found in this article, where anisotropic and variable-thickness versions of the classical plates are considered, as well as other considerations.
Journal ArticleDOI
Bounding Eigenvalues of Elliptic Operators
J. R. Kuttler,V.G. Sigillito +1 more
TL;DR: In this article, the error between an estimate for a point in the spectrum and an eigenvalue of self-adjoint elliptic operators is bounded by using trial functions which need not satisfy the boundary conditions of the problem.
Journal ArticleDOI
Remarks on a Stekloff Eigenvalue Problem
TL;DR: In this article, the Stekloff eigenvalue problem is considered, and bounds for the first eigen value are discussed, particularly for the square, and a conjecture is disproved.
Journal ArticleDOI
Vibrations of non-uniform rectangular plates: A spline technique method of solution
Som R. Soni,K. Sankara Rao +1 more
TL;DR: In this article, the fourth order differential equation governing the transverse motion of an elastic rectangular plate of variable thickness has been solved by using the quintic spline interpolation technique.
Related Papers (5)
Fundamental Frequency of Simply Supported Rectangular Plates With Linearly Varying Thickness
F. C. Appl,N. R. Byers +1 more