Magnetoelastic Transient Stress and Perturbation of Magnetic Field Vector in a Laminated Hollow Cylinder

An analytical method is presented to solve magnetoelastic wave propagation and perturbation of magnetic field vector in a laminated hollow cylinder with arbitrary thickness. The magnetoelastodynamic equation for each separate orthotropic hollow cylinder is solved by means of finite Hankel transforms and Laplace transforms. The unknown constants involved in the solution for each separate layer are determined by using the interface continuity conditions between layers and the boundary conditions at the internal and external boundaries of the laminated hollow cylinder. Thus an exact solution for magnetoelastic transient stresses and perturbation of magnetic field vector in the laminated hollow cylinder is obtained. From sample numerical calculations, it is seen that the present method is suitable to solve magnetoelastic transient problems of laminated hollow cylinders placed in an axial magnetic field, subjected to a radial shock load.