中文摘要：

根据软磁材料的本构方程,对磁冲击作用下的软磁材料空心圆柱体的瞬态响应进行分析,利用有限Hankel变换和Laplace变换,给出了位移与应力动态响应的解析解.数值计算结果表明,在突加磁场冲击作用下,空心圆柱内部位移与应力呈周期性振荡变化,位移和应力峰值远大于静态下的相应值.该研究可为磁弹结构的设计提供参考.

英文摘要：

In accordance with constitutive equations, the transient responses in a hollow cylinder of the soft magnetic material were studied subjected to magnetic shock. The analytical solutions of displacement and stress fields were determined by using finite Hankel transform and the Laplace transform. Numerical examples of calculation showed that internal displacements and stresses in the hollow cylinder are periodic oscillations under a magnetic shock, and the maximum displacement and stress fields are much larger than the quasi-static ones. The results of this paper could provide reference for the design of the elasto-magneto structures.