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A note on the determination of the fundamental frequency of vibration of thin, rectangular plates with edges possessing different rotational flexibility coefficients

โœ Scribed by P.A.A. Laura; L.E. Luisoni; C. Filipich


Publisher
Elsevier Science
Year
1977
Tongue
English
Weight
253 KB
Volume
55
Category
Article
ISSN
0022-460X

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โœฆ Synopsis


The title problem is solved in the present study by using a very simple polynomial expression which identically satisfies the boundary conditions. A variational formulation is then applied and an approximate but extremely accurate and simple frequency equation is generated. Apparently the open literature does not contain a previous analytical treatment of the theme of the present paper as general and simple as the one presented here.


๐Ÿ“œ SIMILAR VOLUMES


A note on the determination of the funda
โœ P.A.A. Laura; L. Ercoli; J. Baron; G. Sanchez Sarmiento; J.C. Utjes ๐Ÿ“‚ Article ๐Ÿ“… 1986 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 940 KB

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 finit

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The title problem is solved in an approximate fashion using polynomial coordinate functions and Galerkin ' s method. The present approach is applicable when the mass is distributed over a rectangular subdomain in the case of a rectangular plate. For a circular plate the mass is applied over a concen