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磁弹性耦合效应引起的铁磁直杆磁场中振动频率的改变

王省哲

王省哲. 磁弹性耦合效应引起的铁磁直杆磁场中振动频率的改变[J]. 应用数学和力学, 2008, 29(8): 927-935.
引用本文: 王省哲. 磁弹性耦合效应引起的铁磁直杆磁场中振动频率的改变[J]. 应用数学和力学, 2008, 29(8): 927-935.
WANG Xing-zhe. Changes of Natural Frequency of a Ferromagnetic Rod in Magnetic Field Due to Magnetoelastic Interaction[J]. Applied Mathematics and Mechanics, 2008, 29(8): 927-935.
Citation: WANG Xing-zhe. Changes of Natural Frequency of a Ferromagnetic Rod in Magnetic Field Due to Magnetoelastic Interaction[J]. Applied Mathematics and Mechanics, 2008, 29(8): 927-935.

磁弹性耦合效应引起的铁磁直杆磁场中振动频率的改变

基金项目: 国家自然科学基金资助项目(10502022);教育部新世纪优秀人才支持计划资助项目(NCET-050878)
详细信息
    作者简介:

    王省哲(1972- ),男,陕西扶风人,教授(Tel:+86-931-8913956;E-mail:xzwangl@lzu.edu.cn).

  • 中图分类号: O344

Changes of Natural Frequency of a Ferromagnetic Rod in Magnetic Field Due to Magnetoelastic Interaction

  • 摘要: 基于磁弹性广义变分原理和Hamilton原理,对处于外加磁场中的软铁磁体,建立了磁弹性动力学理论模型.分别通过关于铁磁杆磁标势和弹性位移的变分运算,获得了包含磁场和弹性变形的所有基本方程,并给出描述磁弹性耦合作用的磁体力和磁面力.采用摄动技术和Galerkin方法,将所建立的磁弹性理论模型用于外加磁场中铁磁直杆的振动分析.结果表明,由于磁弹性耦合效应,外加磁场将对铁磁杆的振动频率产生影响:当铁磁杆的振动位移沿着磁场方向时,其频率减小并出现磁弹性屈曲失稳;当铁磁杆的振动位移垂直于磁场方向时,其频率将会增大.理论模型能够很好地解释已有实验观测的振动频率改变现象.
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出版历程
  • 收稿日期:  2007-12-20
  • 修回日期:  2008-06-30
  • 刊出日期:  2008-08-15

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