Based on the three dimensional elastic theory, the state equationfo the axisymmetric free vibration of transversely isotropic circularplates is established. Taking the advantage of finite Hankeltransform, tow exact so...Based on the three dimensional elastic theory, the state equationfo the axisymmetric free vibration of transversely isotropic circularplates is established. Taking the advantage of finite Hankeltransform, tow exact solutions are derived for two boundaryconditions, i.e. the rigid-slipping boundary and elastic simplysupported boundary. Finally, numerical results are presented and com-pared with those of FEM.展开更多
Error bounds are obtained for the finite element analysis of the eigenpairs for the free vibration of liquid-filled axisymmetric tanks, for a circumferential mode number m=1, antisymmetric.The system of finite element...Error bounds are obtained for the finite element analysis of the eigenpairs for the free vibration of liquid-filled axisymmetric tanks, for a circumferential mode number m=1, antisymmetric.The system of finite element equations concerned is derived by means of Galerkin formulation. Finite element numerical results of the eigenvalue problems for the free vibration of the liquid-filled axisymmetric tanks are compared favorably with the theoretical predictions.展开更多
基金the National Natural Science Foundation of Chinathe Zhejiang Provincial Natural Science Foundation
文摘Based on the three dimensional elastic theory, the state equationfo the axisymmetric free vibration of transversely isotropic circularplates is established. Taking the advantage of finite Hankeltransform, tow exact solutions are derived for two boundaryconditions, i.e. the rigid-slipping boundary and elastic simplysupported boundary. Finally, numerical results are presented and com-pared with those of FEM.
文摘Error bounds are obtained for the finite element analysis of the eigenpairs for the free vibration of liquid-filled axisymmetric tanks, for a circumferential mode number m=1, antisymmetric.The system of finite element equations concerned is derived by means of Galerkin formulation. Finite element numerical results of the eigenvalue problems for the free vibration of the liquid-filled axisymmetric tanks are compared favorably with the theoretical predictions.
