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Journal ArticleDOI

Vibrations of heated plates with two opposite edges simply supported

N. Ganesan
- 08 Sep 1979 - 
- Vol. 66, Iss: 1, pp 99-107
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TLDR
In this paper, a vibration analysis of the family of rectangular plates with two opposite sides simply supported can be simplified by assuming mode shapes, and a steady state temperature which satisfies the Laplace equation is considered.
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This article is published in Journal of Sound and Vibration.The article was published on 1979-09-08. It has received 3 citations till now. The article focuses on the topics: Vibration of plates & Laplace's equation.

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Citations
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Journal ArticleDOI

Free Vibration Characteristics of the Rectangular Plates under Uniform Thermal Loading Part I. Analytic and FEM analysis

TL;DR: In this paper, the analytical solution using superposition and FEM analysis in the free vibration analysis of rectangular plates under uniform thermal loadings was conducted on analytical solutions of three rectangular plates were aluminum, steel and stainless steel respectively.
Journal ArticleDOI

Dynamic behavior of a cylindrical shell subjected to a thermal gradient

TL;DR: In this paper, an attempt is made to discover the influence of a thermal gradient along the length of a cylindrical shell on its dynamic behaviour, based on the linear theory and the mathematical analysis on the Bubnov-Galerkin method.
Journal ArticleDOI

Thermal gradient effects on the vibration of prestressed rectangular plates

TL;DR: In this article, the effect of a thermal gradient on the transverse vibration of a prestressed rectangular plate is investigated by the method of matched asymptotic expansions, and the eigenvalues of an ideal membrane are obtained, independent of thermal effects.
References
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Book

Theory of thermal stresses

TL;DR: Theory of thermal stresses, Theory of Thermal Stresses, this paper, Theory of thermal stress, and thermal stresses theory, thermal stresses and thermal stress theory in literature, 2015.
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

Vibration of thermally stressed plates with various boundary conditions.

TL;DR: By discarding Lurie's (1952) assumption of mode identity, it was shown that linear theory correctly predicts the frequency of all modes of a thermally stressed cantilever plate as well as the frequency and modes of plates with other boundary conditions as discussed by the authors.
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