Analysis of vibrating thick rectangular plates with mixed boundary constraints using differential quadrature element method

Authors
Citation
Fl. Liu et Km. Liew, Analysis of vibrating thick rectangular plates with mixed boundary constraints using differential quadrature element method, J SOUND VIB, 225(5), 1999, pp. 915-934
Citations number
32
Categorie Soggetti
Optics & Acoustics
Journal title
JOURNAL OF SOUND AND VIBRATION
ISSN journal
0022460X → ACNP
Volume
225
Issue
5
Year of publication
1999
Pages
915 - 934
Database
ISI
SICI code
0022-460X(19990902)225:5<915:AOVTRP>2.0.ZU;2-N
Abstract
A free vibration analysis of moderately thick rectangular plates with mixed boundary conditions is presented on the basis of the first-order shear def ormation plate theory. The differential quadrature element method, a highly efficient and accurate hybrid approach, has been employed. To establish th e numerical model, the complex plate domain is first decomposed into small simple continuous sub-domains (elements) and the differential quadrature :m ethod is then applied to each continuous sub-domain to solve the problems. Compatibility conditions are developed for the conjunction nodes on the int erface boundaries of elements in order to connect the elements. Convergence and comparison studies are carried out to establish the reliability of the solutions. The first eight frequency parameters are predicted for various types of thick rectangular plates with mixed edge constraints. (C) 1999 Aca demic Press.