Open AccessThe radial integration method applied to dynamic problems of anisotropic plates
Author(s) -
Albuquerque E. L.,
Sollero P.,
Portilho de Paiva W.
Publication year - 2007
Publication title -
communications in numerical methods in engineering
Language(s) - English
Resource type - Journals
eISSN - 1099-0887
pISSN - 1069-8299
DOI - 10.1002/cnm.924
Subject(s) - boundary element method , reciprocity (cultural anthropology) , singular boundary method , mathematical analysis , boundary knot method , mathematics , boundary value problem , boundary (topology) , inertial frame of reference , analytic element method , method of fundamental solutions , transformation (genetics) , finite element method , classical mechanics , physics , structural engineering , engineering , psychology , social psychology , biochemistry , chemistry , gene
In this paper, the radial integration method is applied to transform domain integrals into boundary integrals in a boundary element formulation for anisotropic plate bending problems. The inertial term is approximated with the use of radial basis functions, as in the dual reciprocity boundary element method. The transformation of domain integrals into boundary integrals is based on pure mathematical treatments. Numerical results are presented to verify the validity of this method for static and dynamic problems and a comparison with the dual reciprocity boundary element method is carried out. Although the proposed method is more time‐consuming, it presents some advantages over the dual reciprocity boundary element method as accuracy and the absence of particular solutions in the formulation. Copyright © 2006 John Wiley & Sons, Ltd.