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各向异性厚壁圆筒的磁弹性动力学问题的解析解
引用本文:戴宏亮,王熙,王新宇,戴庆华.各向异性厚壁圆筒的磁弹性动力学问题的解析解[J].上海交通大学学报,2005,39(2):297-301.
作者姓名:戴宏亮  王熙  王新宇  戴庆华
作者单位:上海交通大学,船舶海洋与建筑工程学院,上海,200240;长沙航空职业技术学院,长沙,410014
摘    要:给出了在横向磁场作用下,各向异性厚壁圆筒磁弹性动力学问题的解析解,磁弹性运动平衡方程中考虑了惯性效应和横向磁场中的Lorentz力的影响,利用相应的有限Hankel变换和Laplace变换,求得在横向磁场作用下,各向异性厚壁圆筒的动应力响应历程及筒体内磁场矢量扰动响应规律。

关 键 词:各向异性结构  厚壁圆筒  磁弹性动力学  磁场矢量扰动
文章编号:1006-2467(2005)02-0297-05
修稿时间:2004年2月24日

The Analytical Solution of Magnetoelastodynamics' Problem in the Anisotropic Thick-Walled Cylinder
DAI Hong-liang,WANG Xi,WANG Xin-yu,DAI Qing-hua.The Analytical Solution of Magnetoelastodynamics' Problem in the Anisotropic Thick-Walled Cylinder[J].Journal of Shanghai Jiaotong University,2005,39(2):297-301.
Authors:DAI Hong-liang  WANG Xi  WANG Xin-yu  DAI Qing-hua
Institution:DAI Hong-liang~1,WANG Xi~1,WANG Xin-yu~1,DAI Qing-hua~2
Abstract:An analytical solution on magnetoelastodynamics' problem, which is subjected to the transversal magnetic field around an anisotropic thick-walled cylinder, was presented. The inertia effect and the influence of Lorentz force in the transversal magnetic field are considered in the magnetoelastodynamics' (equilibrium) equation. Utilizing finite Hankel transforms and the Laplace transforms, the response histories of the dynamic stresses and the perturbation of magnetic field vector were obtained.
Keywords:anisotropic structure  thick-walled cylinder  magnetoelastodynamics  perturbation of magnetic field vector
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