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Boundary element frequency domain formulation for dynamic analysis of Mindlin plates
Author(s) -
Wen P. H.,
Aliabadi M. H.
Publication year - 2006
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1676
Subject(s) - boundary element method , laplace transform , finite element method , method of fundamental solutions , mathematical analysis , boundary (topology) , boundary knot method , frequency domain , singularity , domain (mathematical analysis) , boundary value problem , mathematics , singular boundary method , element (criminal law) , shear (geology) , structural engineering , engineering , materials science , political science , law , composite material
A new boundary element formulation for analysis of shear deformable plates subjected to dynamic loading is presented. Fundamental solutions for the Mindlin plate theory are derived in the Laplace transform domain. The characteristics of the three flextural waves are studied in the time domain. It is shown that the new fundamental solutions exhibit the same strong singularity as in the static case. Two numerical examples are presented to demonstrate the accuracy of the boundary element method and comparisons are made with the finite element method. Copyright © 2006 John Wiley & Sons, Ltd.