Applied Mathematics and Mechanics (English Edition) ›› 1988, Vol. 9 ›› Issue (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

Chou Huan-wen, Yin Chuan-yan   

  1. Wuhan University, Wuhan
  • Received:1987-03-23 Online:1988-04-18 Published:1988-04-18

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

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