The Rayleigh-Ritz method has been used to study the transverse vibrations of skew plates of variable thickness with different combinations of boundary conditions at the four edges. The two-dimensional thickness variation is taken as the Cartesian product of linear variations along the two concurrent
Transverse vibrations of an elliptic plate with variable thickness
β Scribed by B. Singh; D.K. Tyagi
- Publisher
- Elsevier Science
- Year
- 1985
- Tongue
- English
- Weight
- 694 KB
- Volume
- 99
- Category
- Article
- ISSN
- 0022-460X
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π SIMILAR VOLUMES
Transverse vibration of a triangular plate with thickness varying as a linear function of co-ordinates in the plane of the plate has been solved by working out several approximations in the Rayleigh-Ritz method. The basis functions are chosen so that the essential boundary conditions are satisfied.
A set of simple two-dimensional polynomial functions is employed as the admissible displacement function in the Rayleigh-Ritz energy approach for the free transverse vibration analysis of symmetric trapezoidal plates with linearly varying thickness. The admissible function consists the product of (i
The study of the dynamic behaviour of circular plates with stepped thickness is of interest in view of their use in the construction of high frequency transducers. A simple analytical approach which allows for the prediction of their natural frequencies is proposed in the present Note.