Abstract
A new computational scheme for the analysis of the finite deflection, geometrically nonlinear plate bending is presented in this paper using the dual reciprocity boundary element method (DR/BEM). Integral equations, formulated by the combined use of the Berger equation governing approximate nonlinear bending and the conventional fundamental solution to the biharmonic differential operator, include domain integrals relating the nonlinear term of the original governing equation. Such domain integrals containing unknowns are transformed into equivalent boundary integrals according to the idea of the dual reciprocity process. Derived integral equations are formulated only on the boundary of the plate and do not require any domain discretization by internal cells. Availability of the present formulation and the solution scheme for the finite deflection problem is shown by some simple example calculations.
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