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The determination of natural frequencies of rectangular plates with mixed boundary conditions by discrete singular convolution

✍ Scribed by G.W Wei; Y.B Zhao; Y Xiang

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
138 KB
Volume
43
Category
Article
ISSN
0020-7403

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✦ Synopsis

This paper introduces the discrete singular convolution algorithm for vibration analysis of rectangular plates with mixed boundary conditions. A uniΓΏed scheme is proposed for the treatment of simply supported, clamped and transversely supported (with nonuniform elastic rotational restraint) boundary conditions. The robustness and reliability of the present approach are tested by a number of numerical experiments. All results agree well with those in the literature.

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The natural frequencies are obtained for elastic circular plates with mixed boundary conditions. The boundary conditions of the plate were combinations of clamped, simply supported, free, and guided. The natural frequencies are presented as a function of the angle over which the circumference of the