𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Transverse vibrations of rectangular plates on inhomogeneous foundations, part I: Rayleigh-ritz method

✍ 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

No coin nor oath required. For personal study only.

✦ 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.


πŸ“œ SIMILAR VOLUMES


VIBRATION OF RECTANGULAR PLATES USING PL
✍ C. Rajalingham; R.B. Bhat; G.D. Xistris πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 411 KB

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

COMMENTS ON THE NATURAL FREQUENCIES OF R
✍ R.S. Groves; R.L. Clark πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 129 KB

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