Chou Huan-wen. A Perturbation Solution in the Nonlinear Theory of Circular Plates[J]. Applied Mathematics and Mechanics, 1981, 2(5): 475-484.
Citation: Chou Huan-wen. A Perturbation Solution in the Nonlinear Theory of Circular Plates[J]. Applied Mathematics and Mechanics, 1981, 2(5): 475-484.

A Perturbation Solution in the Nonlinear Theory of Circular Plates

  • Received Date: 1981-01-29
  • Publish Date: 1981-10-15
  • In this paper, we analyzed some problems of nonlinear circular plates by means of perturbation method. The perturbation parameters chosen here are obtained from solving the equations and are not certain mechanical quantities given precedently. This is an extension of W. Z. Chien's perturbation method, which uses the central deflection as the perturbation parameter.
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    Schmidt,R.,Finite deflections of a loosely clamped circular plate loaded at its center,Industrial Mathematics,23.part 1,(1973),45-51.
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    钱伟长、叶开沅,圆薄板大挠度问题,物理学报,第10卷第3期,(1954年9月)
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    Timoshenko.S.and Woinowsky-Krieger,S.,Theory of Plates and Shells.(1959).
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    Schmidt.R.,Several perturbation solutions in the nonlinear theory of circular plates and membranes.Industrial Matheamtics,25,part 2.(1975).
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    叶开沅、刘人怀、张传智、徐一帆,弹性圆底扁球壳在边缘均布力矩作用下的非线性稳定问题,应用数学和力学,第1卷第1期,(1980年).
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