Forced axi-symmetric vibrations of polar orthotropic linearly tapered circular plates are discussed on the basis of classical plate theory. Ritz method has been employed to obtain the solutions. The de#ection function and the bending moments for forced vibrations of the plate are presented for vario
FORCED ASYMMETRIC RESPONSE OF LINEARLY TAPERED CIRCULAR PLATES
โ Scribed by A.P. Gupta; N. Goyal
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 220 KB
- Volume
- 220
- Category
- Article
- ISSN
- 0022-460X
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โฆ Synopsis
The eigenfunction method is used to analyze the asymmetric response of linearly tapered circular plates subjected to transverse loads, uniformly distributed over an annular sectorial area of the plate. The analysis is based on the classical plate theory. Numerical results are presented graphically for the transverse deflection and stresses of the plate for various combinations of plate and loading parameters. Results obtained, as a particular case, for a plate of constant thickness subjected to an off-center half-sine pulse point load are compared with previously published results and found to match exactly.
๐ SIMILAR VOLUMES
Asymmetric vibrations of polar orthotropic circular plates of linearly varying thickness resting on an elastic foundation of =inkler type are discussed on the basis of the classical plate theory. Ritz method has been employed to obtain the natural frequencies of vibration using the functions based u
The title problem is solved using very simple polynomial co-ordinate functions and a variational approach. Rather general boundary conditions are assumed at the edge support. It is shown that the approach is valid jor axi-and antisymmetric modal configurations.
Asymmetric vibration of polar orthotropic circular plates of linearly varying thickness subjected to hydrostatic in-plane force are discussed on the basis of classical plate theory. An approximate solution of the problem has been obtained by the Ritz method, which employs functions based upon the st