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FREE VIBRATION ANALYSIS OF RECTANGULAR PLATES WITH VARIOUSLY-SHAPED HOLES

โœ Scribed by M. HUANG; T. SAKIYAMA

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
219 KB
Volume
226
Category
Article
ISSN
0022-460X

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โœฆ Synopsis

An approximate method for analyzing the free vibration of rectangular plates with a hole of di!erent shapes is proposed. The shapes of the holes are circular, semi-circular, elliptic, square, rectangular, triangular, rhombic, etc. These rectangular plates with a hole can be considered ultimately as a kind of rectangular plates with non-uniform thickness. A hole in a plate can be considered as an extremely thin part of the plate. Therefore, the free vibration problem of a plate with a hole can be translated into the free vibration problem of the equivalent rectangular plate with non-uniform thickness. For some plates with di!erent-shaped holes the convergency and accuracy of the numerical solutions calculated by the proposed method are investigated. 1999 Academic Press *Q V *x # *Q W *y #P M (x!x O ) (y!y P )"0,

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