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SEMI-ANALYTICAL SHAPE FUNCTIONS IN THE FINITE ELEMENT ANALYSIS OF RECTANGULAR PLATES

✍ Scribed by E. CHARBONNEAU; A.A. LAKIS

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
306 KB
Volume
242
Category
Article
ISSN
0022-460X

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✦ Synopsis

This paper presents a method for the dynamic analysis of a thin, elastic, isotropic rectangular plate. The method is a hybrid of "nite element theory and classical thin plate theory. The displacement functions are derived from Sanders' thin-shell equations, and are expanded in power series. Expressions for mass and sti!ness are determined by precise analytical integration. The free vibrations of rectangular plates, with various boundary conditions, are studied by following this method. The results obtained reveal that the frequencies calculated in this way are in good agreement with those obtained by others.

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