无限长圆柱体中广义电磁热弹耦合问题研究

基于L-S广义热弹性理论,研究了处于磁场中无限长理想圆柱导体在边界受热冲击作用时的电磁热弹耦合问题.建立了广义电磁热弹耦合的有限元方程,为避免积分变换方法求解带来的精度丟失.采用将有限元方程直接在时间域求解的方法,得到了圆柱体中的温度、位移、应力、感应磁场和感应电场的分布规律,反映了热的波动性及电磁热弹的耦合效应.结果表明,将有限元方程直接在时间域求解,可以获得各物理量的准确分布.得到温度在热波波前处的阶跃,准确地反应热波的波动效应.

STUDY ON GENERALIZED ELECTROMAGNETO-THERMOELASTIC COUPLING PROBLEMS OF AN INFINITE-LENGTH CYLINDER

Electromagneto-thermoelasticity coupling problems for an infinite-length cylinder, made of perfect conduction materials, subjected to thermal impact are studied by adopting L-S generalized ther-moelasticity. The finite element control equations are established at first. In order to avoid the precision loss of integral transformation solution method, the problems are solved directly in time domain. The distributions of temperature, displacement, stress as well as induced magnetic field and electric field are obtained, which represent the fluctuation character of thermal and coupling effect of electromagneto-ther-malelastic in an infinite-length cylinder. The results show that the present method is an effective and exact numerical method for the generalized eletromagentic-thermoelasticity coupling problems and can obtain the temperature step of thermal wave front and fluctuation effect of thermal wave exactly.