Dynamic Buckling Characteristics of Elastic Shell under Torsional Deformation

Abstract

Abstract In order to solve the dynamic buckling problem of elastic cylindrical shell under torsional impact, the original and dual variables of the problem are constructed by means of the energy of the system, and the Hamiltonian system of the system is established. According to the characteristics of Hamiltonian regular equation and symplectic space, the initial boundary value problem of partial differential equation is transformed into an algebraic equation problem by using the boundary conditions and compatibility conditions expressed by dual variables, and the analytical expressions of symplectic eigenvalues and eigensolutions are obtained.