应用Lord-Shulman(L-S)和Green-Lindsay(G-L)广义热弹性理论,研究了一旋转的无限长的理想圆柱导体的电磁热弹耦合问题。给出了介质中的Maxwell方程组,建立了L-S型和G-L型统一的广义的电磁热弹耦合的控制方程,借助拉普拉斯变换和数值反变换技术对问题进行求解,得到了瞬态热冲击作用下旋转的无限长圆柱中的温度、应力、位移、感应的磁场和感应的电场的分布规律。结果表明:介质呈现出热的波动性和电磁热弹耦合效应,由于旋转,位移、应力、感应磁场、感应电场的幅值有明显提高,而旋转对温度影响不大。
Based on the theories of Lord and Shulman(L-S)and Green and Lindsay (G-L), the generalized magneto-thermoelastic coupled phenomenon in an infinite cylinder subjected to a thermal shock was investigated. Maxwell equations were obtained and the magneto-thermoelastic coupled governing equations of both L-S type and G-L type were established. The problem was solved by means of Laplace transformation and numerical Laplace inversion. The distributions of temperature, stress, displacement, induced magnetic field as well as induced electric field were illustrated graphically. The heat wave effect and electromagneto-thermoelastic coupled effects were observed. The rotation significantly increased the magnitude of the real part of displacement, stress, induced magnetic field and induced electric field, but had no effects on the temperature.