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
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.