Buckling Analysis of Prestressed Rotating Circular Cylindrical Shells.

Abstract

Buckling phenomenon of prestressed rotating circular cylindrical shells is investigated. As prestresses, the initial external pressure, axial compression stress and shear stress are considered. Buckling load is obtained through the frequency analysis of two traveling waves for a circumferential wave number, i.e., it is defined as the least value of preloads that make two frequencies of both traveling waves for all circumferential wave numbers be coincide. Frequency equation is derived on the basis of the first-order shear deformation theory of shells and numerical calculation method is formulated for four kinds of boundary conditions. Numerical results showed that for the cases of the initial external pressure and axial compression stress, the buckling load increases monotonously as the rotational speed increases, but for the case of the initial shear stress, buckling load shows the up-and-down inclination with rotational speed and it proved that there exists a rotational speed region in which buckling load becomes lower than that for non-rotational shells.