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
Rectangular thick plates on winkler foundation: differential quadrature element solution
โ 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.
โฆ 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.
๐ SIMILAR VOLUMES
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
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
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