• 主题
高级搜索  >
历史搜索 清空历史
首页> 外文期刊>Mathematical Problems in Engineering >Stability Analysis and Investigation of a Magnetoelastic Beam Subjected to Axial Compressive Load and Transverse Magnetic Field
【24h】

Stability Analysis and Investigation of a Magnetoelastic Beam Subjected to Axial Compressive Load and Transverse Magnetic Field

机译：轴向压缩载荷和横向磁场作用下磁弹性梁的稳定性分析与研究

获取原文
获取原文并翻译 | 示例
           
页面导航
  • 摘要
  • 著录项
  • 相似文献
  • 相关主题

摘要

The interactive behaviors between transverse magnetic fields and axial loads of a magnetoelastic (ME) beam subjected to general boundary conditions are investigated. In particular, the instability criterion for the magneto-mechanical buckling problem is intricately discussed based on the structure characteristics and the initial conditions. The equation of motion for the proposed physical model is introduced according to the Hamilton's principle, and the stability criterion is obtained by using the method of multiple scales implemented on both spatial and time domains. Eventually a so-called Schrodinger equation with cubic nonlinearity (NLS) can be generated by suitably changing the variables; as a result, the stable criterion for the magnetoelastic beam can be acquired after dissecting the nonlinear Schrodinger equation and requiring the imaginary part of the time domain solution to be vanished. Stability criterion curve for the dispersion equation of the ME beam is firstly depicted in order to reveal the magnificent influence of the structure characteristic itself, followed by the instability constraint due to the variation of initial conditions and the observation locations. The results indicate that the prior one actually denotes a parabola, whereas the latter one is sometimes a diamond-like or ellipse-like region spotting along the prior one.
机译：研究了在一般边界条件下磁弹性（ME）梁的横向磁场与轴向载荷之间的相互作用。尤其是，基于结构特性和初始条件，对磁-机械屈曲问题的不稳定性判据进行了复杂的讨论。根据汉密尔顿原理引入了所提出物理模型的运动方程，并通过在空间和时域上实现的多尺度方法获得了稳定性判据。最终，可以通过适当地更改变量来生成具有立方非线性（NLS）的所谓Schrodinger方程。结果，在剖析了非线性薛定inger方程并且需要消除时域解的虚部之后，才能获得磁弹性梁的稳定判据。为了揭示结构特征本身的巨大影响，首先描绘了ME光束色散方程的稳定性判据曲线，其次是由于初始条件和观测位置的变化而引起的不稳定性约束。结果表明，前一个实际上表示抛物线，而后一个有时是沿着前一个斑点的菱形或椭圆形区域。

著录项

  • 来源
    《Mathematical Problems in Engineering》 |2010年第speca期|p.22.1-22.17|共17页
  • 作者

    Mei-Feng Liu; Tai-Ping Chang;

  • 作者单位

    Department of Applied Mathematics, I-Shou University, Kaohsiung 840, Taiwan;

    Department of Construction Engineering, National Kaohsiung First University of Science & Technology, Kaohsiung 824, Taiwan;

  • 收录信息
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

相似文献

  • 外文文献
  • 中文文献
  • 专利
获取原文

客服邮箱：kefu@zhangqiaokeyan.com

京公网安备：11010802029741号 ICP备案号：京ICP备15016152号-6 六维联合信息科技 (北京) 有限公司©版权所有

  • 客服微信

  • 服务号