ON THE APPLICATION OF MIXED METHOD TO SOLVE SOLIDS OF REVOLUTION WITH DISCRETE FIXED SUPPORTS

Applied Mathematics and Mechanics (English Edition) ›› 1982, Vol. 3 ›› Issue (2): 293-302.

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ON THE APPLICATION OF MIXED METHOD TO SOLVE SOLIDS OF REVOLUTION WITH DISCRETE FIXED SUPPORTS

何穷

Shanghai University of Technology

收稿日期:1980-09-03 出版日期:1982-03-18 发布日期:1982-03-18

ON THE APPLICATION OF MIXED METHOD TO SOLVE SOLIDS OF REVOLUTION WITH DISCRETE FIXED SUPPORTS

He Qiong

Shanghai University of Technology

Received:1980-09-03 Online:1982-03-18 Published:1982-03-18

摘要/Abstract

摘要： In this paper, the force method of statically indeterminate structure mechanics is used to treat the solids of revolution with discrete fixed supports. The reactionary forces of discrete fixed supports are considered as statically indeterminate unknown variables. The force-method canonical equations, in which the coefficient matrix and the right-hand vector are computed by semi-analytical finite element method, are solved. Then the finite element solution of solid of revolution with discrete fixed supports is calculated with the external loads superposed from the assigned external loads and the reactionary forces of discrete supports.

关键词: Φ-strongly accretive operator, Φ-hemicontrictive operator, Ishikawa type iterative sequence, Banach space

Abstract: In this paper, the force method of statically indeterminate structure mechanics is used to treat the solids of revolution with discrete fixed supports. The reactionary forces of discrete fixed supports are considered as statically indeterminate unknown variables. The force-method canonical equations, in which the coefficient matrix and the right-hand vector are computed by semi-analytical finite element method, are solved. Then the finite element solution of solid of revolution with discrete fixed supports is calculated with the external loads superposed from the assigned external loads and the reactionary forces of discrete supports.

Key words: Φ-strongly accretive operator, Φ-hemicontrictive operator, Ishikawa type iterative sequence, Banach space

何穷. ON THE APPLICATION OF MIXED METHOD TO SOLVE SOLIDS OF REVOLUTION WITH DISCRETE FIXED SUPPORTS[J]. Applied Mathematics and Mechanics (English Edition), 1982, 3(2): 293-302.

He Qiong. ON THE APPLICATION OF MIXED METHOD TO SOLVE SOLIDS OF REVOLUTION WITH DISCRETE FIXED SUPPORTS[J]. Applied Mathematics and Mechanics (English Edition), 1982, 3(2): 293-302.

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ON THE APPLICATION OF MIXED METHOD TO SOLVE SOLIDS OF REVOLUTION WITH DISCRETE FIXED SUPPORTS

ON THE APPLICATION OF MIXED METHOD TO SOLVE SOLIDS OF REVOLUTION WITH DISCRETE FIXED SUPPORTS

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