恒定磁场中简支圆柱壳的磁弹性振动分析

依据电磁场方程及相应的电磁本构关系,给出了作用于圆柱壳体上的电磁力及力矩表达式.在此基础上,分别推得了纵向和横向磁场中圆柱壳体的磁弹性轴对称振动方程.针对两端简支约束条件,通过位移函数的设定,得到了相应的有阻尼振动微分方程.通过算例,给出了系统衰减振动的响应曲线图和相图,分析了磁感应强度和壳体厚度对系统振幅衰减速度的影响.结果表明,通过改变磁感应强度可以达到控制系统振动的目的.

Magnetoelastic vibration analysis of a simply supported cylindrical shell in constant magnetic field

Based on the electrodynamics equations, the electromagnetic forces and moments applied on a cylindrical shell were obtained. Magnetoelastic axisymmetric vibration equations of the cylindrical shell under a longitudinal and a transverse magnetic field were derived respectively. Applying the assuming displacement function, the damped vibration differential equations of the cylindrical shell with two opposite simply supported sides were obtained. For examples, response curves and phase figures of damped vibration were demonstrated. The effects of magnetic induction and the thickness of the shell on amplitude damping were discussed. The results show that the vibration can be controlled by adjusting the magnetic induction.