加筋板大变形的混合有限元解法

Large Deformation Solution of Stiffened Plates by a Mixed Finite Element Method

摘要: 本文由非线性弹性力学导出带偏心正交加筋板大变形有限元混合泛函及其迭代方程.在计算中运用一个将二维耦合矩阵分解、求出三维系数矩阵作为原始输入数据的重要技巧,把非线性方程转化为瞬态线性方程.并用共轭斜量法求解,从而极大地简化了计算,提高了精度,取得了满意的结果.

Abstract: In the present paper, a finite element mined variational functional and the iterative equations of the eccentric orthogonal stiffened plates are developed in accordance with nonlinear elasticity. By using an important technique the coupling coefficients of the two dimensional coupling matrix are resolved into the known input data in the programming which is a three-dimensional coefficient matrix. The nonlinear equations are transformed into the instantaneous linear equations. The linear equations are solved by using the conjugate gradient method, As a result therefore, the calculation is simplified enormously, the precision is improved. and a satisfactory result is obtained.

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