半无限长旋转杆件中的广义电磁热弹耦合问题  

Generalized Electromagneto-thermoelastic Coupled Problem for Semi-infinitely Long Rotating Bar

作　　者：关明智[1] 何天虎[1] 盖超[2] 李洋[3] 

机构地区：[1]兰州理工大学理学院,兰州730050 [2]辽宁省盘锦市辽河油田供水公司基建工程部,辽宁盘锦124109 [3]沈阳建筑大学土木工程学院,沈阳110168

出　　处：《吉林大学学报（理学版）》2009年第1期92-97,共6页Journal of Jilin University:Science Edition

基　　金：国家自然科学基金(批准号:10602021)

摘　　要：应用Lord和Shulman(L-S)广义热弹性理论,研究半无限长旋转理想杆件的电磁热弹耦合问题.给出介质中的Maxwell方程组,建立了L-S型广义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,得到瞬态热冲击作用下半无限长旋转杆件中的温度、应力、位移、感应磁场和电场的分布规律.结果表明,介质呈现热的波动性和电磁热弹耦合效应,由于考虑旋转,对位移和应力提高较大,但对杆的感应磁场和电场的影响较小,对温度基本没有影响.Based on Lord and Shulman＇s generalized thermoelastic theory, the generalized magnetothermoelastic coupled problem for a semi-infinitely long rotating bar was studied. Maxwell equations in medium were given, the generalized electromagneto-thermoelastic coupled governing equations of L-S type were established. The problem was solved by means of Laplace transform and numerical Laplace inversion. The distributions of temperature, radial stress, displacement, induced magnetic field as well as induced electric field for the semi-infinitely long rotating bar subjected to a thermal shock were represented graphically. From the distributions, it can be found that the medium exibits the heat wave effect and electromagneto-thermoelastic coupled effects. And it can also be found that rotation acts to significantly increase the magnitude of the real part of displacement and radial stress, and insignificantly affects the magnitude of induced magnetic field and induced electric field and temperature.

关 键 词：广义热弹性理论 旋转效应 半无限长杆件 电磁热弹耦合 拉普拉斯变换 

分 类 号：O411[理学—理论物理]