Transverse vibrations of rectangular plates on inhomogeneous foundations, part I: Rayleigh-ritz method
β Scribed by P.A.A. Laura; R.H. Gutierrez
- Publisher
- Elsevier Science
- Year
- 1985
- Tongue
- English
- Weight
- 299 KB
- Volume
- 101
- Category
- Article
- ISSN
- 0022-460X
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β¦ Synopsis
The title problem is solved for the case of Winkler-type inhomogeneous foundation and when the plate edges are elastically restrained against rotation. Fundamental frequency coefficients are determined for several combinations of length to width ratios and flexibility coefficients. The solution given in Part I is based on the Rayleigh-Ritz method and polynomial co-ordinate functions while the problem is solved in Part II [1] by means of the modal constraint method.
π SIMILAR VOLUMES
The plate characteristic functions are used to express the deflection shapes in the Rayleigh-Ritz method to study rectangular plate vibrations. Since the plate characteristic functions are reasonable approximations to the vibration modes, they are found to improve the convergence of vibration freque
The study of the transverse vibrations of rectangular plates is among the most widely studied topics in structural dynamics, and the application of the assumed modes/Rayleigh-Ritz method to derive models of this vibration for various sets of boundary conditions has been employed for nearly the entir