变厚度载流旋转壳体的热磁弹性分析

针对磁场环境中受机械载荷作用变厚度载流旋转壳体热磁弹性问题，基于薄壳的几何方程、物理方程、运动方程、电动力学方程，建立其热磁弹性基本方程．应用线性化方法，得到了关于热磁弹性问题的线性迭代方程，转化为包括8个基本未知量的标准型方程组．关于载流旋转壳体，给出Lorentz力表达式，导出了温度场及温度场积分特征值．分析了变厚度锥形旋转壳体应力、温度及变形随外加电磁参量的变化规律，并通过数值模拟对理论分析进行了验证．研究结果可为载流旋转壳体热磁弹性问题研究提供理论参考．

Thermal-Magnetic-Elasticity Analysis in a Current-Carrying Shell of Revolution with Varying Thickness

Regarding to the thermal-magnetic-elastic problem for a current-carrying revolutionary shell with varying thickness in a magnetic field subjected to mechanical loadings, based on the geometric equations, physical equations, kinetic equations, and electrodynamics equations of thin shell, the thermal-magnetic-elastic fundamental equations were established. Using the linearization method, the linear iterative equations on the thermal-magnetic-elastic problem were obtained and transformed into the normal-type equations including eight basic unknown variables. For the current-carrying revolutionary shell, the expressions for the Lorentz force, the temperature field, and the integral eigenvalues were derived. The change of stresses, temperatures, and deformations in the conical shell with the electromagnetic parameters were analyzed. And the theoretical analysis is verified by the numerical simulation. The results presented here are expected to provide a theoretical reference for the thermal-magnetic-elastic analysis of a current-carrying revolutionary shell.