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
A note on the determination of the fundamental frequency of vibration of a rectangular plate with a free, semicircular cut-out along the edge
β 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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β¦ 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.
π SIMILAR VOLUMES
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 liter
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