摘要
Analytic nonlinear three-dimension solutions were presented for axially symmetrical homogenous isotropic circular plates and multilayered plates with rigidly clamped boundary conditions and under transverse load. The geometric nonlinearity from a moderately large deflection was considered. A developmental perturbation method was 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 were presented. All of the plate stresses were shown in figures. The results show that this perturbation method used to analyse nonlinear three-dimension problems of plates is effective.
Analytic nonlinear three-dimension solutions were presented for axially symmetrical homogenous isotropic circular plates and multilayered plates with rigidly clamped boundary conditions and under transverse load. The geometric nonlinearity from a moderately large deflection was considered. A developmental perturbation method was 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 were presented. All of the plate stresses were shown in figures. The results show that this perturbation method used to analyse nonlinear three-dimension problems of plates is effective.
