scispace - formally typeset
Journal ArticleDOI

Vibrations and elastic stability of polar orthotropic circular plates of linearly varying thickness

P.A.A. Laura, +2 more
- 01 May 1982 - 
- Vol. 82, Iss: 1, pp 151-156
About: 
This article is published in Journal of Sound and Vibration.The article was published on 1982-05-01. It has received 26 citations till now. The article focuses on the topics: Orthotropic material.

read more

Citations
More filters
Journal ArticleDOI

Non-linear vibration and thermal buckling of an orthotropic annular plate with a centric rigid mass

S.-R Li, +2 more
- 14 Mar 2002 - 
TL;DR: In this paper, a computational analysis of the non-linear vibration and thermal post-buckling of a heated orthotropic annular plate with a central rigid mass is examined for the cases of immovably hinged as well as clamped constraint conditions of the outer edge.
Journal ArticleDOI

Effect of elastic foundation on axisymmetric vibrations of polar orthotropic circular plates of variable thickness

U.S. Gupta, +2 more
- 22 Nov 1985 - 
TL;DR: In this article, a polar orthotropic circular plate of variable thickness (linear as well as parabolic) resting on an elastic foundation of Winkler type is discussed on the basis of the classical theory of plates.
Journal ArticleDOI

Shooting method for non-linear vibration and thermal buckling of heated orthotropic circular plates

S.-R. Li, +1 more
- 22 Nov 2001 - 
Journal ArticleDOI

A selective review of direct, semi-inverse and inverse eigenvalue problems for structures described by differential equations with variable coefficients

Isaac Elishakoff
- 01 Dec 2000 - 
TL;DR: In this article, a selective review of boundary value problems has been presented, with emphasis on the word "selective", which gives only a taste of extensive research that has been conducted since 1759 when Leonhard Euler posed, apparently for the first time, a boundary value problem.
Journal ArticleDOI

Nonlinear vibration of heated orthotropic annular plates with immovably hinged edges

Shirong Li, +1 more
- 01 Jul 2003 - 
TL;DR: In this paper, a computational analysis of the nonlinear vibration and thermal postbuckling of a heated orthotropic annular plate with immovably hinged edges was presented, based on von Karman's plate theory and Hamilton's principle.
References
More filters
Book

Vibration of plates

Arthur W. Leissa
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

A note on the vibration and stability of a circular plate elastically restrained against rotation

P.A.A. Laura, +2 more
- 22 Jul 1975 - 
TL;DR: In this article, the fundamental frequency of vibration of a thin elastic plate elastically restrained against rotation along the boundary and subjected to a hydrostatic state of in-plane stress was determined.
Journal ArticleDOI

Transverse vibrations of axisymmetric polar orthotropic circular plates elastically restrained against rotation along the edges

Patricio A. A. Laura, +3 more
- 01 Jul 1981 - 
TL;DR: In this paper, a finite element code and an analytical, variational approach are used to solve the title problem of a plate with forced vibrations and an approximate expression for the dynamic displacement is obtained.
Journal ArticleDOI

Axisymmetric vibrations of polar orthotropic circular plates

Gangan Prathap, +1 more
- 01 Nov 1976 - 
Journal ArticleDOI

Forced vibrations of a circular plate elastically restrained against rotation

Patricio A. A. Laura, +2 more
- 22 Mar 1976 - 
TL;DR: In this paper, simple polynomial expressions and a variational approach are used to study the behavior of a thin, elastic, circular plate elastically restrained along the boundary and subjected to sinusoidal excitation.