๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

TRANSVERSE VIBRATION OF SKEW PLATES WITH VARIABLE THICKNESS

โœ Scribed by B. Singh; V. Saxena


Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
300 KB
Volume
206
Category
Article
ISSN
0022-460X

No coin nor oath required. For personal study only.

โœฆ Synopsis


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 edges of the plate. The first three frequencies and mode shapes have been computed by using successive approximations. Convergence of results is ensured by working out several approximations until the results converge to four significant digits. In special cases, comparisons have been made with results that are available in the literature. Mode shapes have also been plotted for some selected cases.


๐Ÿ“œ SIMILAR VOLUMES


Transverse vibrations of circular plates
โœ R.H. Gutierrez; P.A.A. Laura ๐Ÿ“‚ Article ๐Ÿ“… 1982 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 160 KB

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.

FREE VIBRATION ANALYSIS OF RECTANGULAR P
โœ T. Sakiyama; M. Huang ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 299 KB

An approximate method for analyzing the free vibration of thin and moderately thick rectangular plates with arbitrary variable thickness is proposed. The approximate method is based on the Green function of a rectangular plate. The Green function of a rectangular plate with arbitrary variable thickn

FREE-VIBRATION ANALYSIS OF RIGHT TRIANGU
โœ T. SAKIYAMA; M. HUANG ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 233 KB

An approximate method for analyzing the free vibration of right triangular plates with arbitrary variable thickness and various boundary conditions is proposed. In this paper, a right triangular plate is considered as a kind of rectangular plate with non-uniform thickness. Therefore, the free-vibrat

TRANSVERSE VIBRATION OF A RECTANGULAR PL
โœ B. Singh; V. Saxena ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 302 KB

The transverse vibrations of a rectangular plate of variable thickness have been investigated with different combinations of boundary conditions at the four edges. The thickness variation is bidirectional and is the cartesian product of linear variations along two concurrent edges of the plate. Succ

Vibration of continuous skew plates
โœ T. Mizusawa; T. Kajita ๐Ÿ“‚ Article ๐Ÿ“… 1984 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 242 KB
Transverse vibrations of circular plates
โœ Ricardo O. Grossi; Patricio A.A. Laura ๐Ÿ“‚ Article ๐Ÿ“… 1980 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 301 KB

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.