• 主题
高级搜索  >
历史搜索 清空历史
首页> 外文期刊>Journal of teoretical and applied mechanics >MAGNETO-ELASTIC INTERNAL RESONANCE OF AN AXIALLY MOVING CONDUCTIVE BEAM IN THE MAGNETIC FIELD
【24h】

MAGNETO-ELASTIC INTERNAL RESONANCE OF AN AXIALLY MOVING CONDUCTIVE BEAM IN THE MAGNETIC FIELD

机译：磁场中轴向移动的导电梁的磁弹性内部共振

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 Hamiltonian principle is applied to the nonlinear vibration equation of an axially moving conductive beam in the magnetic field with consideration of the axial velocity, axial tension, electromagnetic coupling effect and complex boundary conditions. Nonlinear vibration characteristics of the free vibrating beam under 1:3 internal resonances are studied based on our approach. For beams with one end fixed and the other simply supported, the nonlinear vibration equation is dispersed by the Galerkin method, and the vibration equations are solved by the multiple-scales method. As a result, the coupled relations between the first-order and second-order vibration modes are obtained in the internal resonance system. Firstly, the influence of initial conditions, axial velocity and the external magnetic field strength on the vibration modes is analysed in detail. Secondly, direct numerical calculation on the vibration equations is carried out in order to evaluate the accuracy of the perturbation approach. It is found that through numerical calculations, in the undamped system, the vibration modes are more sensitive to the initial value of vibration amplitude. The amplitude changes of the first-order and second-order modes resulting from the increase of the initial amplitude value of the vibration modes respectively are very special, and present a "reversal behaviour". Lastly, in the damped system, the vibration modes exhibit a trend of coupling attenuation with time. Its decay rate increases when the applied magnetic field strength becomes stronger.
机译：考虑到轴向速度，轴向张力，电磁耦合效应和复杂的边界条件，将哈密顿原理应用于磁场中轴向移动的导电梁的非线性振动方程。基于我们的方法，研究了自由振动梁在1：3内共振下的非线性振动特性。对于一端固定而另一端简单支撑的梁，通过Galerkin方法分散非线性振动方程，并通过多尺度方法求解振动方程。结果，在内部共振系统中获得了一阶和二阶振动模式之间的耦合关系。首先，详细分析了初始条件，轴向速度和外部磁场强度对振动模式的影响。其次，对振动方程进行直接数值计算，以评估扰动方法的准确性。通过数值计算发现，在无阻尼系统中，振动模式对振幅的初始值更为敏感。分别由振动模式的初始振幅值的增加引起的一阶和二阶模式的振幅变化是非常特殊的，并且呈现出“反转行为”。最后，在阻尼系统中，振动模式表现出随时间而衰减的趋势。当施加的磁场强度变强时，其衰减率增加。

著录项

  • 来源
    《Journal of teoretical and applied mechanics》 |2019年第1期|179-191|共13页
  • 作者

    Wang Jie; Hu Yuda; Su Yu; Gong Liangfei; Zhang Qingnan;

  • 作者单位

    Yanshan Univ, Key Lab Mech Reliabil Heavy Equipments & Large St, Qinhuangdao, Peoples R China|Beijing Inst Technol, Sch Aerosp Engn, Dept Mech, Beijing, Peoples R China;

    Yanshan Univ, Key Lab Mech Reliabil Heavy Equipments & Large St, Qinhuangdao, Peoples R China;

    Beijing Inst Technol, Sch Aerosp Engn, Dept Mech, Beijing, Peoples R China;

    Beijing Inst Technol, State Key Lab Explos Sci & Technol, Beijing, Peoples R China;

    Beijing Inst Technol, Sch Aerosp Engn, Dept Mech, Beijing, Peoples R China;

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

    magneto-elastic; conductive beam; internal resonance; axially moving; multiple scales;

    机译：磁弹性;传导束;内部共振;轴向移动;多尺度;

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