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半无限长旋转杆件中的广义电磁热弹耦合问题
引用本文:关明智,何天虎,盖超,李洋.半无限长旋转杆件中的广义电磁热弹耦合问题[J].吉林大学学报(理学版),2009,47(1):92-97.
作者姓名:关明智  何天虎  盖超  李洋
作者单位: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
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. 

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  
收稿时间:2008-01-20

Generalized Electromagneto-thermoelastic Coupled Problem for Semi-infinitely Long Rotating Bar
GUAN Ming-zhi,HE Tian-hu,GAI Chao,LI Yang.Generalized Electromagneto-thermoelastic Coupled Problem for Semi-infinitely Long Rotating Bar[J].Journal of Jilin University: Sci Ed,2009,47(1):92-97.
Authors:GUAN Ming-zhi  HE Tian-hu  GAI Chao  LI Yang
Institution:1. School of Science, Lanzhou University of Tecnology, Lanzhou 730050, China; 2. Capital Construction Engineering Department of Water Supply Company of Panjin Liaohe Oil Field, Panjin 124109, Liaoning Province, China; 3. School of Civil Engineering, Shenyang Jianzhu University, Shenyang 110168, China
Abstract:Based on Lord and Shulman's generalized thermoelastic theory,the generalized magneto-thermoelastic 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 fo...
Keywords:generalized thermoelastic theory  rotation effect  semi-infinitely bar  electromagneto-thermoelastic coupled  Laplace transform  
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