THE PERTURBATION-ITERATIVE METHOD APPLIED TO THE PROBLEMS OF THE LARGE DEFLECTION OF THE ELASTIC CIRCULAR THIN PLATES

Applied Mathematics and Mechanics (English Edition) ›› 1988, Vol. 9 ›› Issue (4): 327-334.

THE PERTURBATION-ITERATIVE METHOD APPLIED TO THE PROBLEMS OF THE LARGE DEFLECTION OF THE ELASTIC CIRCULAR THIN PLATES

周焕文, 殷传炎

Wuhan University, Wuhan

收稿日期:1987-03-23 出版日期:1988-04-18 发布日期:1988-04-18

THE PERTURBATION-ITERATIVE METHOD APPLIED TO THE PROBLEMS OF THE LARGE DEFLECTION OF THE ELASTIC CIRCULAR THIN PLATES

Chou Huan-wen, Yin Chuan-yan

Wuhan University, Wuhan

Received:1987-03-23 Online:1988-04-18 Published:1988-04-18

摘要/Abstract

摘要： In this paper, we present a perturbation-iterative method for solving certain boundary value problems encountered in the nonlinear theory of elastic circular thin plates. At the same time, with this method, we strictly prove the convergence of the solutions for the large deflection equations of circular plates subjected to certain distributed loads.

关键词: generalized mixed implicit equilibrium problem, Yosida proximal mapping, generalized equation problem, iterative algorithm, Banach space

Abstract: In this paper, we present a perturbation-iterative method for solving certain boundary value problems encountered in the nonlinear theory of elastic circular thin plates. At the same time, with this method, we strictly prove the convergence of the solutions for the large deflection equations of circular plates subjected to certain distributed loads.

Key words: generalized mixed implicit equilibrium problem, Yosida proximal mapping, generalized equation problem, iterative algorithm, Banach space

周焕文;殷传炎. THE PERTURBATION-ITERATIVE METHOD APPLIED TO THE PROBLEMS OF THE LARGE DEFLECTION OF THE ELASTIC CIRCULAR THIN PLATES[J]. Applied Mathematics and Mechanics (English Edition), 1988, 9(4): 327-334.

Chou Huan-wen;Yin Chuan-yan. THE PERTURBATION-ITERATIVE METHOD APPLIED TO THE PROBLEMS OF THE LARGE DEFLECTION OF THE ELASTIC CIRCULAR THIN PLATES[J]. Applied Mathematics and Mechanics (English Edition), 1988, 9(4): 327-334.

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THE PERTURBATION-ITERATIVE METHOD APPLIED TO THE PROBLEMS OF THE LARGE DEFLECTION OF THE ELASTIC CIRCULAR THIN PLATES

THE PERTURBATION-ITERATIVE METHOD APPLIED TO THE PROBLEMS OF THE LARGE DEFLECTION OF THE ELASTIC CIRCULAR THIN PLATES

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