In this paper,the scalar field perturbations in the background of the massless BTZ black holes was discussed.

Utilizing finite Hankel transforms and the Laplace transforms, the response histories of the dynamic stresses and the perturbation of magnetic field vector were obtained.

Then,we presented an analytical method to solve the dynamic stresses and perturbation of magnetic field vector under thermomagnetic shock,and obtained the response histories and distributions of the dynamic stresses and the response histories of perturbation of magnetic.

The analytical expressions for the dynamic stresses and perturbation of magnetic field vector are obtained by means of a finite integral transform and Laplace transform.

In order to obtain the perturbed magnetic fields caused by mechanical stress, the governing equations and boundary conditions for the problems were derived based on the linearized magnetoelastic theory.

Based on the linearized magnetoelastic theory,analytical solution of the perturbed magnetic field in an infinite plate by a circular hole under extension and an external magnetic field was obtained in this paper.

Based on linearized magnetoelastic theory, the perturbed magnetic fields induced by mechanical stress and deformation in steel or other ferromagnetic structures working in the environment of the Earth magnetic field,are investigated theoretic.

The key of removerestore procedure is to remove a disturbing potential element from a reference potential model and restore related disturbing potential element in the end.