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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

戎艳天 胡宇达

戎艳天, 胡宇达. 移动载荷作用下轴向运动载流梁的参强联合共振[J]. 应用数学和力学, 2018, 39(3): 266-277. doi: 10.21656/1000-0887.380128
引用本文: 戎艳天, 胡宇达. 移动载荷作用下轴向运动载流梁的参强联合共振[J]. 应用数学和力学, 2018, 39(3): 266-277. doi: 10.21656/1000-0887.380128
RONG Yantian, HU Yuda. Combined Parametric and Forced Resonance of Axially Moving and Current-Carrying Beams Under Moving Loads[J]. Applied Mathematics and Mechanics, 2018, 39(3): 266-277. doi: 10.21656/1000-0887.380128
Citation: RONG Yantian, HU Yuda. Combined Parametric and Forced Resonance of Axially Moving and Current-Carrying Beams Under Moving Loads[J]. Applied Mathematics and Mechanics, 2018, 39(3): 266-277. 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
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

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

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

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