von Karman型弾性平板の有限変形問題の境界要素法解析

概要

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An incremental boundary element method for finite deflection analysis of von Karman-type thin elastic plates is presented. Since the governing equations involve the coupled in-plane and out-of-plane deformations as the nonlinear terms, the boundary integral equations are formulated in terms of the incremental quantities by using the fundamental solutions for linear parts of the differential operators. In order to implement the higher-order interpolation function, the boundary integral equations are regularized by using the subtracting and adding-back technique. The boundary integral equations have unknown displacements also in the domain integral terms. Therefore, the boundary-domain element method is applied to solve the discretized boundary integral equations. Some numerical results for sample problems are presented and obtained results are compared with the available analytical solutions to show the effectiveness of the proposed method.
一般社団法人日本機械学会の論文
1995-09-25