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轴向运动梁的横向振动分析

田耀宗 蹇开林

田耀宗, 蹇开林. 轴向运动梁的横向振动分析[J]. 应用数学和力学, 2019, 40(10): 1081-1088. doi: 10.21656/1000-0887.400082
引用本文: 田耀宗, 蹇开林. 轴向运动梁的横向振动分析[J]. 应用数学和力学, 2019, 40(10): 1081-1088. doi: 10.21656/1000-0887.400082
TIAN Yaozong, JIAN Kailin. Lateral Vibration Analysis of Axially Moving Beams[J]. Applied Mathematics and Mechanics, 2019, 40(10): 1081-1088. doi: 10.21656/1000-0887.400082
Citation: TIAN Yaozong, JIAN Kailin. Lateral Vibration Analysis of Axially Moving Beams[J]. Applied Mathematics and Mechanics, 2019, 40(10): 1081-1088. doi: 10.21656/1000-0887.400082

轴向运动梁的横向振动分析

doi: 10.21656/1000-0887.400082
详细信息
    作者简介:

    田耀宗(1993—),男,硕士(E-mail: 873970864@qq.com);蹇开林(1965—),男,教授,博士(通讯作者. E-mail: cqjian@cqu.edu.cn).

  • 中图分类号: O32

Lateral Vibration Analysis of Axially Moving Beams

  • 摘要: 论述了轴向运动梁横向振动问题以及研究轴向运动梁横向振动问题的方法,指出对轴向运动梁横向振动问题研究中存在的一些错误并进行了更正.针对一端可看作固定边界条件的轴向运动悬臂梁,基于连续体的模态叠加法,推导出含自重效应的轴向运动梁动力响应的计算公式,进行实例计算,并对计算结果进行了详细的讨论,得出影响轴向运动梁振动响应的因素主要有速度和运动方向.
  • [1] GOSSELIN F, PAIDOUSSIS M P, MISRA A K. Stability of a deploying/extruding beam in dense fluid[J]. Journal of Sound and Vibration,2007,299(1/2): 123-142.
    [2] AL-BEDOOR B O, KHULIEF Y A. An approximate analytical solution of beam vibrations during axial motion[J]. Journal of Sound and Vibration,1996,192(1): 159-171.
    [3] PARK S, YOO H H, CHUNG J T. Eulerian and Lagrangian descriptions for the virbration analysis of a deploying beam[J]. Journal of Mechanical Science and Technology,2013,27(9): 2637-2643.
    [4] PELLICANO F, VESTRONI F. Complex dynamics of high-speed axially moving systems[J]. Journal of Sound and Vibration,2002,258(1): 31-44.
    [5] CEPON G, BOLTEZAR M. Computing the dynamic response of an axially moving continuum[J]. Journal of Sound and Vibration,2007,300: 316-329.
    [6] 齐亚峰, 刘宁, 杨国来. 轴向运动简支梁振动响应分析[J]. 机械制造与检测技术, 2016,37(12): 126-129.(QI Yafeng, LIU Ning, YANG Guolai. Vibration response analysis of simply supported beams with axial motion[J]. Mechanical Manufacturing and Inspection Technology,2016,37(12): 126-129.(in Chinese))
    [7] 马国亮, 陈立群. 轴向运动梁的横向随机响应[J]. 振动与冲击, 2014,33(9): 78-82.(MA Guoliang, CHEN Liqun. Random vibration response of axially moving beams[J]. Vibration and Shock,2014,33(9): 78-82.(in Chinese))
    [8] 陈荣泉, 余小刚. 轴向运动体系横向振动控制的研究进展[J]. 机电技术, 2017(4): 117-120.(CHEN Rongquan, YU Xiaogang. Research on lateral vibration control of axial motion system[J]. Electromechanical Technology,2017(4): 117-120.(in Chinese))
    [9] 李成澄, 赵凤群. 轴向运动变截面粘弹性梁的振动与稳定性分析[J]. 振动与冲击, 2016,35(14): 107-111.(LI Chengcheng, ZHAO Fengqun. Vibration and stability analysis of viscoelastic beams with variable axial motion[J].Vibration and Shock,2016,35(14): 107-111.(in Chinese))
    [10] 李山虎, 杨靖波, 黄清华, 等. 轴向运动悬臂梁的独立模态振动控制,Ⅰ: 近似理论分析[J]. 应用力学学报, 2002,19(1): 35-38.(LI Shanhu, YANG Jingbo, HUANG Qinghua, et al. Independent model-space vibration control of an axially moving cantilever beam, part Ⅰ: theoretical analysis of approximation[J]. Journal of Applied Mechanics,2002,19(1): 35-38.(in Chinese))
    [11] 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.(RONG Yangtian, HU Yuda. Parametric joint resonance of axially moving current-carrying beam under moving load[J]. Applied Mathematics and Mechanics,2018,39(3): 266-277.(in Chinese))
    [12] 刘延柱. 振动力学[M]. 2版. 北京: 高等教育出版社, 2011.(LIU Yanzhu. Vibration Mechanics [M]. 2nd ed. Beijing: Higher Education Press, 2011.(in Chinese))
    [13] FUNG R F, LU P Y, TSENG C C. Non-linearly dynamic modeling of an axially moving beam with a tip mass[J]. Journal of Sound and Vibration,1998,218(4): 559-571.
    [14] YANG E C, ZHAO X, LI Y H. Free vibration analysis for cracked FGM beams by means of a continuous beam model[J]. Shock and Vibration,2015,2015(4). DOI: 10.1155/2015/197049.
    [15] 杨鄂川, 秦营, 赵翔, 等. 含轴向运动效应的裂纹梁横向振动频率研究[J]. 力学季刊, 2016,37(1): 74-80.(YANG Echuan, QIN Ying, ZHAO Xiang, et al. Investigations on transversal vibration characteristics of cracked axially moving beams[J]. Quarterly Journal of Mechanics,2016,37(1): 74-80.(in Chinese))
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出版历程
  • 收稿日期:  2019-03-01
  • 修回日期:  2019-03-20
  • 刊出日期:  2019-10-01

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