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轴向运动载流导电板磁热弹性耦合动力学方程

胡宇达 张金志

胡宇达, 张金志. 轴向运动载流导电板磁热弹性耦合动力学方程[J]. 力学学报, 2013, 45(5): 792-796. doi: 10.6052/0459-1879-12-330
引用本文: 胡宇达, 张金志. 轴向运动载流导电板磁热弹性耦合动力学方程[J]. 力学学报, 2013, 45(5): 792-796. doi: 10.6052/0459-1879-12-330
Hu Yuda, Zhang Jinzhi. MAGNETO-THERMO-ELASTIC COUPLED DYNAMICS EQUATIONS OF AXIALLY MOVING CARRY CURRENT PLATE IN MAGNETIC FIELD[J]. Chinese Journal of Theoretical and Applied Mechanics, 2013, 45(5): 792-796. doi: 10.6052/0459-1879-12-330
Citation: Hu Yuda, Zhang Jinzhi. MAGNETO-THERMO-ELASTIC COUPLED DYNAMICS EQUATIONS OF AXIALLY MOVING CARRY CURRENT PLATE IN MAGNETIC FIELD[J]. Chinese Journal of Theoretical and Applied Mechanics, 2013, 45(5): 792-796. doi: 10.6052/0459-1879-12-330

轴向运动载流导电板磁热弹性耦合动力学方程

doi: 10.6052/0459-1879-12-330
基金项目: 河北省自然科学基金资助项目(E2010001254).
详细信息
    通讯作者:

    胡宇达,教授,主要研究方向:磁弹性力学、非线性振动.E-mail:huyuda03@163.com

  • 中图分类号: O332;O442

MAGNETO-THERMO-ELASTIC COUPLED DYNAMICS EQUATIONS OF AXIALLY MOVING CARRY CURRENT PLATE IN MAGNETIC FIELD

Funds: The project was supported by the National Natural Science Foundation of Hebei Province (E2010001254).
  • 摘要: 针对磁场环境中轴向运动载电流导电板磁热弹性耦合动力学建模问题进行研究. 考虑几何非线性和热效应条件下, 给出薄板运动的动能、应变能以及外力虚功的表达式.应用哈密顿变分原 理, 推得力、运动、电、磁和热效应相互作用下轴向运动导电板的非线性磁热弹性耦合振动方程.基于麦克斯韦电磁场方程, 考虑相应的电磁本构关系和电磁边界条件, 推得磁场环境中轴向运动载电流导电板满足的电动力学方程和所受电磁力表达式, 并给出焦耳热作用下耦合形式的热传导方程. 算例表明, 磁场等参量对动力学系统分岔特性有明显影响.所得结果可为此类问题的进一步求解和分 析提供理论参考.

     

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出版历程
  • 收稿日期:  2013-04-30
  • 修回日期:  2013-05-06
  • 刊出日期:  2013-09-18

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