轴对称问题的对角线化—致质量矩阵和弹塑性撞击的动力有限元分析

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Diagonalized Consistant Mass Matrix and the Dynamical Finite Element Analysis of Elastic-Plastic Impact in Axisymmetrical Problems

摘要: 本文找到了轴对称问题的三角圆环有限元的对角线化一致质量矩阵,从而克服了集总质量法的粗略随意性所引起的不安,以及一致质量法的非对角线项对计算工作带来的麻烦.本文也对弹塑性轴对称撞击问题提供了动力有限元分析计算的基础.

Abstract: In this paper, the diagonalized consistent mass matrix is found for the triangular ring element in axisymmetrical problems. The results of this work eliminate the feeling of uncertainty and arbitrariness of lumped mass method on the one hand and the difficulty of computation due to non-diagonalized character of consistent mass method on the other. This paper gives also the foundations of the finite element analysis of elastic-plastic axisymmetrical impact problems.

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