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NONLINEAR THREE-DIMENSION ANALYSIS FOR AXIALLY SYMMETRICAL CIRCULAR PLATES AND MULTILAYERED PLATES
作者姓名:江晓禹  张相周
作者单位:Northwestern Polytechnical University,Xi'an,Northwestern Polytechnical University,Xi'an
摘    要:Analytic nonlinear three-dimension solutions are presented for axially symmetrical homogeneous isotropic circular plates and multilayered plates with rigidly clamped boundary conditions and under transverse load.The geometric nonlinearily from a moderately large deflection is considered.A developmental perturbation method is used to solve the complicated nonlinear three-dimension differential equations of equilibrium.The basic idea of this perturbation method is using the two-dimension solutions as a basic form of the corresponding three-dimension solutions,and then processing the perturbation procedure to obtain the three-dimension perturbation solutions.The nonlinear three-dimension results in analytic expressions and in numerical forms for ordinary plates and multilayered plates are presented.All of the plate stresses are shown in figures.The results show that this perturbation method used to analyse nonlinear three-dimension problems of plates is effective.

收稿时间:28 November 1991

Nonlinear three-dimension analysis for axially symmetrical circular plates and multilayered plates
Jiang Xiao-yu,Zhang Xiang-zhou.NONLINEAR THREE-DIMENSION ANALYSIS FOR AXIALLY SYMMETRICAL CIRCULAR PLATES AND MULTILAYERED PLATES[J].Applied Mathematics and Mechanics(English Edition),1993,14(8):753-766.
Authors:Jiang Xiao-yu  Zhang Xiang-zhou
Institution:(1) Northwestern Polytechnical University, Xi'an
Abstract:Analytic nonlinear three-dimension solutions are presented for axially symmetrical homogeneous isotropic circular plates and multilayered plates with rigidly clamped boundary conditions and under transverse load. The geometric nonlinearity from a moderately large deflection is considered. A developmental perturbation method is used to solve the complicated nonlinear three-dimension differential equations of equilibrium. The basic idea of this perturbation method is using the two-dimension solutions as a basic form of the corresponding three-dimension solutions, and then processing the perturbation procedure to obtain the three-dimension perturbation solutions. The nonlinear three-dimension results in analytic expressions and in numerical forms for ordinary plates and multilayered plates are presented. All of the plate stresses are shown in figures. The results show that this perturbation method used to analyse nonlinear three-dimension problems of plates is effective.
Keywords:three-dimension analysis  geometric nonlinearity  perturbation method  axially symmetry
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