移动载荷作用下轴向运动载流梁的参强联合共振

戎艳天; 胡宇达

doi:10.21656/1000-0887.380128

移动载荷作用下轴向运动载流梁的参强联合共振

doi: 10.21656/1000-0887.380128

燕山大学建筑工程与力学学院;河北省重型装备与大型结构力学可靠性重点实验室, 河北秦皇岛 066004

基金项目: 国家自然科学基金(11472239)；河北省自然科学基金(A2015203023)；河北省高等学校科学技术研究重点项目(ZD20131055)

详细信息

作者简介:
戎艳天(1990—)，女，硕士生(E-mail: Tiffany_rong@163.com);胡宇达(1968—)，男，教授，博士，博士生导师(通讯作者. E-mail: huyuda03@163.com).

中图分类号: O322
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- 文章访问数: 1015
- HTML全文浏览量: 166
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- 被引次数: 0
出版历程
- 收稿日期: 2017-05-09
- 修回日期: 2017-05-31
- 刊出日期: 2018-03-15

Combined Parametric and Forced Resonance of Axially Moving and Current-Carrying Beams Under Moving Loads

College of Civil Engineering and Mechanics;Key Laboratory of Mechanical Reliability for Heavy Equipments and Large Structures of Hebei Province, Yanshan University, Qinhuangdao, Hebei 066004, P.R.China

Funds: The National Natural Science Foundation of China(11472239)

摘要

摘要: 研究磁场环境中移动载荷作用下轴向运动梁的磁弹性参强联合共振问题.以轴向运动载流梁为研究对象，建立横向磁场中受移动载荷作用下梁的力学模型.应用Hamilton(哈密顿)原理，得到梁的非线性磁弹性振动方程.利用Galerkin(伽辽金)积分法和多尺度法，推得以移动载荷为变量的幅频响应方程.通过数值计算，绘制了振幅随调谐参数、拉力扰动幅值、移动载荷、磁感应强度的变化规律曲线图，分析了电流密度、磁感应强度、移动载荷等变量对参变系统动力学特性的影响.结果表明：系统呈现典型的参强联合共振特性；移动载荷、磁感应强度能够起到抑制共振幅值多值现象的产生.
- 载流梁 /
- 参强联合共振 /
- 磁场 /
- 移动载荷 /
- 多尺度法
Abstract: The combined parametric and forced resonance of axially moving beams subjected to moving loads in magnetic field environment was investigated. For an axially moving and current-carrying beam, the mechanical model under moving load in the magnetic field was established. The Hamiltonian variational principle was applied to formulate the nonlinear magnetoelastic vibration equations. By means of the Galerkin integral method and the multiscale method, the nonlinear primary parametric amplitude-frequency response equations were achieved with the moving load as a variable. The curves of the amplitude changing with the tuning parameters, the tension disturbance, the moving load, the magnetic induction intensity and the moving load length were drawn. The influences of the axial tension, the moving load and other parameters on the dynamic behaviors of the parametric system were analyzed through numerical calculation. The results show that the system presents typical nonlinear vibration characteristics; moreover, the moving load and the magnetic field control the occurrence of the multi-value amplitude phenomenon.
- current-carrying beam /
- combined parametric and forced resonance /
- magnetic field /
- moving load /
- multiscale method

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参考文献(16)

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移动载荷作用下轴向运动载流梁的参强联合共振

doi: 10.21656/1000-0887.380128

作者简介:
戎艳天(1990—)，女，硕士生(E-mail: Tiffany_rong@163.com);胡宇达(1968—)，男，教授，博士，博士生导师(通讯作者. E-mail: huyuda03@163.com).

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Combined Parametric and Forced Resonance of Axially Moving and Current-Carrying Beams Under Moving Loads

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留言板

移动载荷作用下轴向运动载流梁的参强联合共振

doi: 10.21656/1000-0887.380128

作者简介: 戎艳天(1990—)，女，硕士生(E-mail: Tiffany_rong@163.com);胡宇达(1968—)，男，教授，博士，博士生导师(通讯作者. E-mail: huyuda03@163.com).

计量

出版历程

Combined Parametric and Forced Resonance of Axially Moving and Current-Carrying Beams Under Moving Loads

计量

出版历程

目录

作者简介:
戎艳天(1990—)，女，硕士生(E-mail: Tiffany_rong@163.com);胡宇达(1968—)，男，教授，博士，博士生导师(通讯作者. E-mail: huyuda03@163.com).