Forced motion of a semi-infinite plate of parabolically varying thickness is analyzed by the eigenfunction method. Analysis is based on classical theory. An exact closed form solution is obtained for free vibration. Plates clamped at both the edges and cantilever plates subjected to constant and hal
Forced Motion of a Semi-Infinite Plate of Linearly Varying Thickness
โ Scribed by A.P. Gupta; N. Goyal
- Publisher
- Elsevier Science
- Year
- 1994
- Tongue
- English
- Weight
- 306 KB
- Volume
- 173
- Category
- Article
- ISSN
- 0022-460X
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โฆ Synopsis
Forced motion of a semi-infinite plate of linearly varying thickness based on classical theory is analyzed by an eigenfunction method. Uniformly distributed and concentrated impulsive loads applied to plates clamped at both the edges and cantilever plates are taken as example problems. Numerical results are computed for the transverse deflection and the bending moment of the plate.
๐ SIMILAR VOLUMES
Forced motion of a plate of infinite length whose thickness, density and elastic properties vary in steps along the finite breadth, is analysed by an eigenfunction method. The numerical results for transverse deflection computed for a clamped-clamped plate subjected to constant or half-sine pulse lo
Shear theory and the eigenfunction method are used to analyze the forced motion of a plate-strip of linearly varying thickness. A plate clamped at both edges and a cantilever plate subjected to uniformly distributed and concentrated impulsive loads are analyzed as example problems. Numerical results
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.