Application of the charge simulation method to analysis of large deflections of elastic plates

Abstract

The non-linear Berger equation is used to obtain solutions for deformation of thin elastic plates, and is solved by applying the charge simulation method. The general solution for the deflection is first obtained by a combination of two kinds of series of Green's functions. Satisfying the boundary conditions at the collocation points, the unknown constants in the general solution are determined, and the deflection of the plate is calculated. Numerical results are presented in dimensionless graphical form for rectangular and isosceles triangular plates.

Keywords

charge simulation method numerical analysis elasticity bending large deflection plate Berger equation Green's function

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