Applied Mathematics and Mechanics (English Edition) ›› 1992, Vol. 13 ›› Issue (12): 1149-1162.

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NONSYMMETRICAL LARGE DEFORMATION BENDING PROBLEM OF CIRCULAR THIN PLATES

Wang Lin-xiang, Wang Xin-zhi, Qiu Ping   

  1. Gansu University of Technology, Lanzhou
  • Received:1991-08-23 Online:1992-12-18 Published:1992-12-18
  • Supported by:
    Project supported by the National Natural Science Foundation of China

Abstract: To begin with, in this paper, the displacement governing equations and the boundary conditions of nonsymmetrical large deflection problem of circular thin plates are derived. By using the transformation and the perturbation method, the nonlinear displacement equations are linearized, and the approximate boundary value problems are obtained. As an example, the nonlinear bending problem of circular thin plates subjected to comparatively complex loads is studied.

Key words: plate, displacement, nonlinear, transformation, perturbation method

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