Abstract

A new iterative soltion of the nonlinear Berger equation for plate bending problems is proposed. The solution is derived by utilizing both the idea of the Kantrovich method and the boundary integral equation method. The present method, named the boundary strip metheod, could reduce the degrees of freedom of the problem to be solved and input data, although the plate configuration and the boundary conditions of the problems are limited to some extent. In order to show the validity of the proposed method, several examples under various boundary conditions are computed. The numerical results are in good agreement with the results obtained by other authors.

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