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A note on the determination of the fundamental frequency of vibration of a rectangular plate with a free, semicircular cut-out along the edge

✍ Scribed by P.A.A. Laura; L. Ercoli; J. Baron; G. Sanchez Sarmiento; J.C. Utjes


Publisher
Elsevier Science
Year
1986
Tongue
English
Weight
940 KB
Volume
104
Category
Article
ISSN
0022-460X

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✦ Synopsis


The title problem is tackled by using polynomial co-ordinate functions and the Ritz method in order to generate an approximate frequency equation. It is shown that in the case of a clamped square plate the results are in good engineering agreement with frequency values obtained by means of the finite clement method when the cut-out size is small relative to the plate dimensions. Experimental results are also presented and it is shown that they are in excellent agreement with finite element values.


πŸ“œ SIMILAR VOLUMES


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An approximate solution of the title problem is obtained by using the Ritz method. It is assumed that the edges of the rectangular plate are elastically restrained against rotation and that translation is prevented. The displacement amplitude is approximated in terms of a polynomial co-ordinate func

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