๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Rectangular thick plates on winkler foundation: differential quadrature element solution

โœ Scribed by F.-L. Liu


Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
259 KB
Volume
37
Category
Article
ISSN
0020-7683

No coin nor oath required. For personal study only.

โœฆ Synopsis


This paper deals with the static analysis of homogenous isotropic rectangular plates on Winkler foundation on the basis of ยฎrst-order shear deformation theory. An improved dierential quadrature (DQ) method, called the dierential quadrature element method (DQEM), has been developed for this analysis. The plates considered are subjected to a patch load or a concentrated line load, which are not solvable by the global DQ method. The convergence and comparison studies are carried out to establish the reliability of the DQEM results. Then the numerical results for dierent boundary conditions (i.e. SSSS, CCCC, S 'S'S'S ' and SFSF) are presented showing the parametric eects of dimensions of loading area/line, relative thickness ratio and elastic foundation modulus on the deยฏection, bending and twisting moments, and shear forces at selected locations. Most of these data are new and due to the high accuracy of the DQ solution they can be useful for benchmarking future work.


๐Ÿ“œ SIMILAR VOLUMES


Fundamental solution and boundary elemen
โœ K. Al-Hosani; S. Fadhil; A. El-Zafrany ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 430 KB

This paper introduces for the ยฎrst time a full derivation of a fundamental solution and boundary integral equations for thick Reissner plates resting on a Winkler elastic foundation, where the eect of transverse normal stresses resulting from the foundation reaction on the plate surface has been con

The boundary element method for thick pl
โœ Youssef F. Rashed; M. H. Aliabadi; C. A. Brebbia ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 291 KB ๐Ÿ‘ 3 views

In this paper the application of the boundary element method to thick plates resting on a Winkler foundation is presented. The Reissner plate bending theory is used to model the plate behaviour. The Winkler foundation model is represented by continuous springs which are directly incorporated into th

ANALYSIS OF VIBRATING THICK RECTANGULAR
โœ F.-L. LIU; K.M. LIEW ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 204 KB

A free vibration analysis of moderately thick rectangular plates with mixed boundary conditions is presented on the basis of the "rst-order shear deformation plate theory. The di!erential quadrature element method, a highly e$cient and accurate hybrid approach, has been employed. To establish the nu

Vibration of non-uniform thick plates on
โœ P. Malekzadeh; G. Karami ๐Ÿ“‚ Article ๐Ÿ“… 2004 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 321 KB

This paper presents a differential quadrature (DQ) solution for free vibration analysis of thick plates of continuously varying thickness on two-parameter elastic foundations. The formulations are based on the first-order shear deformation theory taking into account the effects of rotary inertia. Th