VIBRATION OF CLAMPED ELLIPTIC PLATES USING EXACT CIRCULAR PLATE MODESAS SHAPE FUNCTIONS IN RAYLEIGH-RITZ METHOD

Authors
RAJALINGHAM C BHAT RB XISTRIS GD
Citation
C. Rajalingham et al., VIBRATION OF CLAMPED ELLIPTIC PLATES USING EXACT CIRCULAR PLATE MODESAS SHAPE FUNCTIONS IN RAYLEIGH-RITZ METHOD, International journal of mechanical sciences, 36(3), 1994, pp. 231-246
Citations number
16
Categorie Soggetti
Mechanics,"Engineering, Mechanical
Journal title
International journal of mechanical sciences → ACNP
ISSN journal
00207403
Volume
36
Issue
3
Year of publication
1994
Pages
231 - 246
Database
ISI
SICI code
0020-7403(1994)36:3<231:VOCEPU>2.0.ZU;2-H
Abstract
The vibration of clamped uniform elliptical plates is investigated usi ng the exact modes of circular plates as shape functions in the Raylei gh-Ritz method. This paper investigates the behaviour of clamped ellip tical plates using modified polar coordinates and the exact modes of c ircular plates in terms of Bessel and modified Bessel functions. The e lements of the mass and stiffness matrices are expressed in closed for m using Lommel integrals. The accuracy and the convergence of this app roach are validated, and numerical results for natural frequencies for various plate aspect ratios are presented.