LARGE DEFORMATION SOLUTION OF STIFFENED PLATES BY A MIXED FINITE ELEMENT METHOD

摘要/Abstract

摘要： In the present paper, a finite element mixed 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; and by using the conjugate gradient method the linear equations are solved. As a result, therefore, the calculation is enormously simplified, the precision manifested, and a satisfactory result obtained.

关键词: m-accretive operator, Ishikawa iterative sequence, uniformly smooth Banach space

Abstract: In the present paper, a finite element mixed 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; and by using the conjugate gradient method the linear equations are solved. As a result, therefore, the calculation is enormously simplified, the precision manifested, and a satisfactory result obtained.

Key words: m-accretive operator, Ishikawa iterative sequence, uniformly smooth Banach space

陈远汉. LARGE DEFORMATION SOLUTION OF STIFFENED PLATES BY A MIXED FINITE ELEMENT METHOD[J]. Applied Mathematics and Mechanics (English Edition), 1984, 5(1): 1121-1135 .

Chen Yen-hang. LARGE DEFORMATION SOLUTION OF STIFFENED PLATES BY A MIXED FINITE ELEMENT METHOD[J]. Applied Mathematics and Mechanics (English Edition), 1984, 5(1): 1121-1135 .

参考文献

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