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Applied Mathematics and Mechanics (English Edition) ›› 1992, Vol. 13 ›› Issue (10): 891-908.

• 论文 •    下一篇

LARGE DEFLECTION PROBLEM OF A CLAMPED ELLIPTICAL PLATE SUBJECTED TO UNIFORM PRESSURE

钱伟长, 潘立宙, 刘晓明   

  1. Shanghai University of Technology;Shanghai Institute of Applied Mathematics and Mechanics, Shanghai
  • 收稿日期:1991-12-01 出版日期:1992-10-18 发布日期:1992-10-18

LARGE DEFLECTION PROBLEM OF A CLAMPED ELLIPTICAL PLATE SUBJECTED TO UNIFORM PRESSURE

Chien Wei-zang, Pan Li-zhou, Liu Xiao-ming   

  1. Shanghai University of Technology;Shanghai Institute of Applied Mathematics and Mechanics, Shanghai
  • Received:1991-12-01 Online:1992-10-18 Published:1992-10-18

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摘要： In this paper, the perturbation solution of large deflection problem of clampedelliptical plate subjected to uniform pressure is given on the basis of the perturbationsolution of large deflection problem of similar clamped circular plate (1948)[1], (1954)[2]. The analytical solution of this problem was obtained in 1957. However, due to social difficulties, these results have never been published. Nash and Cooley (1959)[3] published a brief note of similar nature, in which only the case λ=a/b=2 is given. In this paper, the analytical solution is given in detail up to the 2nd approximation. The numerical solutions are given for various Poisson ratios ν =0.25, 0.30, 0.35 and for various eccentricities λ= 1, 2, 3, 4, 5, which can be used in the calculation of engineering designs.

关键词: elliptical plate, large deflection, perturbation method

Abstract: In this paper, the perturbation solution of large deflection problem of clampedelliptical plate subjected to uniform pressure is given on the basis of the perturbationsolution of large deflection problem of similar clamped circular plate (1948)[1], (1954)[2]. The analytical solution of this problem was obtained in 1957. However, due to social difficulties, these results have never been published. Nash and Cooley (1959)[3] published a brief note of similar nature, in which only the case λ=a/b=2 is given. In this paper, the analytical solution is given in detail up to the 2nd approximation. The numerical solutions are given for various Poisson ratios ν =0.25, 0.30, 0.35 and for various eccentricities λ= 1, 2, 3, 4, 5, which can be used in the calculation of engineering designs.

Key words: elliptical plate, large deflection, perturbation method

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