WIT Press


Solving Plate Bending Problems By The Analog Equation Method

Price

Free (open access)

Volume

7

Pages

9

Published

1994

Size

586 kb

Paper DOI

10.2495/BE940301

Copyright

WIT Press

Author(s)

M.S. Nerantzaki

Abstract

Solving plate bending problems by the analog equation method M.S. Nerantzaki Department of Civil Engineering, National Technical University, Zografou Campus, GR-15773 Athens, Greece ABSTRACT In this paper the Analog Equation Method (AEM) is employed to solve a class of plate problems whose fundamental solution either can not established or is difficult to treat numerically, such as plates resting on non-homogeneous or non-linear elastic foundation, static or dynamic behaviour of plates subjected to in-plane forces. Numerical examples are presented to illustrate the efficiency and the accuracy of the proposed method. INTRODUCTION The BEM solution to the biharmonic equation governing the bending of thin elastic plates is well established [1-5]. However, for many plate problems a pure boundary element method can not be developed due to the fact that the fundamental solution either can not be determined or it has accomplicate form and therefore it is difficult to

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