𝔖 Bobbio Scriptorium
✦   LIBER   ✦

The boundary element method for thick plates on a Winkler foundation

✍ Scribed by Youssef F. Rashed; M. H. Aliabadi; C. A. Brebbia

Publisher
John Wiley and Sons
Year
1998
Tongue
English
Weight
291 KB
Volume
41
Category
Article
ISSN
0029-5981

No coin nor oath required. For personal study only.

✦ Synopsis

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 the governing di erential equation. The fundamental solutions are constructed using operator decoupling technique. These fundamental solutions represent three di erent cases depending on the problem constants. The explicit forms of the boundary and internal point kernels are given in all cases. Quadratic isoparametric boundary elements are used to model the plate boundary. Several examples are presented to demonstrate the accuracy of the present formulation.

πŸ“œ SIMILAR VOLUMES

A dynamic algorithm for integration in t
A dynamic algorithm for integration in the boundary element method
✍ Bruce A. Ammons; Madhukar Vable πŸ“‚ Article πŸ“… 1998 πŸ› John Wiley and Sons 🌐 English βš– 182 KB πŸ‘ 2 views

The discretization of the boundary in boundary element method generates integrals over elements that can be evaluated using numerical quadrature that approximate the integrands or semi-analytical schemes that approximate the integration path. In semi-analytical integration schemes, the integration p

A novel acceleration method for the vari
A novel acceleration method for the variational boundary element approach based on multipole expansion
✍ Michel A. Tournour; Noureddine Atalla πŸ“‚ Article πŸ“… 1998 πŸ› John Wiley and Sons 🌐 English βš– 151 KB πŸ‘ 2 views

The acoustic radiation of general structures with Neumann's boundary condition using Variational Boundary Element Method (VBEM) is considered. The classical numerical implementation of the VBEM su ers from the computation cost associated with double surface integration. To alleviate this limitation,

Preconditioners for the p-version of the
Preconditioners for the p-version of the Galerkin method for a coupled finite element/boundary element system
✍ Norbert Heuer; Ernst P. Stephan πŸ“‚ Article πŸ“… 1998 πŸ› John Wiley and Sons 🌐 English βš– 240 KB πŸ‘ 3 views

We propose and analyze efficient preconditioners for solving systems of equations arising from the p-version for the finite element/boundary element coupling. The first preconditioner amounts to a block Jacobi method, whereas the second one is partly given by diagonal scaling. We use the generalized

A hybrid algorithm for the MLFMA-enhance
A hybrid algorithm for the MLFMA-enhanced finite-element boundary-integral method
✍ X. Q. Sheng; E. K. N. Yung πŸ“‚ Article πŸ“… 2000 πŸ› John Wiley and Sons 🌐 English βš– 77 KB πŸ‘ 2 views

In this letter, a hybrid algorithm combining the direct method with the iterati¨e method is designed for sol¨ing the FE᎐BI matrix equation, which not only can take full ad¨antage of the multile¨el ( ) fast multipole algorithm MLFMA , but also can significantly speed up the rate of con¨ergence. Numer

A Green's function time-domain boundary
A Green's function time-domain boundary element method for the elastodynamic half-plane
✍ Christoph Richter; GΓΌnther Schmid πŸ“‚ Article πŸ“… 1999 πŸ› John Wiley and Sons 🌐 English βš– 288 KB πŸ‘ 2 views

The transient Green's function of the 2-D Lamb's problem for the general case where point source and receiver are situated beneath the traction-free surface is derived. The derivations are based on Laplacetransform methods, utilizing the Cagniard-de Hoop inversion. The Green's function is purely alg