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
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.