Buckling Analysis of Rotating Prestressed Circular Cylindrical Shells (Analysis Based on the Finite Element Method)

摘要

Buckling analysis of a rotating circular cylindrical shell subjected to the prestresses such as external pressure, axial compression stress and torsional shear stress is carried out through the frequency analysis. The finite element method using the truncated conical shell element based on the first-order shear deformation theory is applied, and the finite strain is taken into consideration to obtain the quasi-static displacements due to the rotation and prestresses, except for the case of external pressure. Numerical results show that for three kinds of prestresses, the buckling loads become larger as the rotational speed increases, and it turned out that it is sufficient to estimate the buckling loads for the case of no-rotation from the viewpoint of safety reliability. Besides, it was shown that for the case of torsional shear prestress, the linear analysis of quasi-static displacement leads to the physically incorrect result, i.e., the circumferential displacement diverges at some rotational speed and becomes the reverse to the torsional direction at the higher rotational speed. Thus, it should be noted that the authors' previously reported result that is derived through the linear analysis based on the quasi-analytical method using modified Galerkin method must be corrected.