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AXISYMMETRIC DYNAMIC RESPONSE OF A CIRCULAR PLATE ON AN ELASTIC FOUNDATION

✍ Scribed by A.K. Ghosh

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
169 KB
Volume
205
Category
Article
ISSN
0022-460X

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✦ Synopsis

Circular plates on elastic foundations are used in footings and raft foundations of various structures. In addition, tubesheets used in various shell-and-tube type heat exchangers, can be modelled as circular plates on elastic foundations.

The static response of a circular plate on an elastic foundation is well studied [1-3, for example]. The axisymmetric dynamic response of a circular plate has been analytically studied [4, for example]. Free vibration of circular footing has been studied by some authors [5, for example].

This paper presents an analysis and numerical results for the axisymmetric free and forced vibration of a circular plate on an elastic foundation.

2. ο₯

The axisymmetric equilibrium of a circular plate represented by Poisson-Kirchhoff plate theory and resting on a Winkler medium [1] is represented in terms of the non-dimensional deflection, y and radius x as

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