A note on the determination of the fundamental frequency of vibration of thin, rectangular plates with edges possessing different rotational flexibility coefficients
โ 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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โฆ 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.
๐ SIMILAR VOLUMES
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
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