变长度柔性提升系统动力学特性与减振研究
作者:
作者单位:

太原理工大学机械与运载工程学院 太原,030024

作者简介:

郭瑜,男,1995年10月生,硕士。主要研究方向为机械动力学。 E-mail:g7874016@163.com

通讯作者:

黄家海,男,1979 年5月生,博士,教授、博士生导师。主要研究方向为机械动力学。 E-mail:huangjiahai@tyut.edu.cn

中图分类号:

TH113.1;TD444

基金项目:

国家自然科学基金资助项目(51775362)

  • 摘要
  • | |
  • 访问统计
  • |
  • 参考文献 [24]
  • | | | |
  • 文章评论
    摘要:

    针对矿井提升机这类变长度柔性提升系统在外界激励和运动冲击作用下的异常振动问题,基于Hamilton原理建立提升系统纵向-横向-侧向非线性动力学模型对耦合振动开展研究。首先,在建模过程中将提升机摩擦轮纵向-横向-侧向变幅值波动视为钢丝绳上端的边界激励;其次,通过Galerkin法将边界激励作用下的偏微分方程离散为常微分方程组进行数值求解;最后,分析了加速度、加加速度和运动轨迹对系统动力学特性的影响,并基于标准逻辑函数对运动轨迹进行优化,以抑制系统运行过程中的冲击与振动。仿真与现场测试结果表明:耦合振动以纵向振动为主,且钢丝绳长度增加时系统对运动状态突变冲击更加敏感,更易激发剧烈的纵向振动;相较于传统4阶多项式轨迹,系统在提升工况下的纵向振动减小了10.85%,最大动张力减小了9.06%。

    参考文献
    [1] 李玉瑾.多绳摩擦轮提升系统的动力学究与设计[J]. 煤炭工程, 2003(9): 6-9.LI Yujin. Dynamic study and design of the multi-rope friction hoist system[J]. Coal Engineering, 2003(9): 6-9.(in Chinese)
    [2] GUO Y B, ZHANG D K, CHEN K, et al. Longitudinal dynamic characteristics of steel wire rope in a friction hoisting system and its coupling effect with friction transmission[J]. Tribology International, 2018, 119: 731-743.
    [3] GUO Y B, ZHANG D K, YANG X, et al. Experimental research on effect of wire rope transverse vibration on friction transmission stability in a friction hoisting system[J]. Tribology International, 2017, 115: 233-245.
    [4] VLADI? J, JOVANOVI? M, ?OKI? R, et al. Theoretical and experimental analysis of mine elevator dynamic characteristics[J]. Tehni?ki Vjesnik, 2015, 22(4): 1011-1020.
    [5] KACZMARCZYK S, OSTACHOWICZ W. Transient vibration phenomena in deep mine hoisting cables—part 1: mathematical model[J]. Journal of Sound and Vibration, 2003, 262(2): 219-244.
    [6] KACZMARCZYK S, OSTACHOWICZ W. Transient vibration phenomena in deep mine hoisting cables—part 2: numerical simulation of the dynamic response[J]. Journal of Sound and Vibration, 2003, 262(2): 245-289.
    [7] WANG Y D, CAO G H, ZHU Z C, et al. Longitudinal response of parallel hoisting system with time-varying rope length[J]. Journal of Vibroengineering, 2014, 16(8): 4088-4101.
    [8] YAO J N, XIAO X M. Effect of hoisting load on transverse vibrations of hoisting catenaries in floor type multi-rope friction mine hoists[J]. Shock and Vibration, 2016(3):1-15.
    [9] YAO J N, DENG Y, XIAO X M. Optimization of hoisting parameters in a multi-rope friction mine hoist based on the multi-source coupled vibration characteristics of hoisting catenaries[J]. Advances in Mechanical Engineering, 2017, 9(3): 1-14.
    [10] ZHU W D, REN H. An accurate spatial discretization and substructure method with application to moving elevator cable-car systems—part I: methodology[J]. Journal of Vibration and Acoustics, 2013, 135(5): 051036.
    [11] REN H, ZHU W D. An accurate spatial discretization and substructure method with application to moving elevator cable-car systems—part II: application[J]. Journal of Vibration and Acoustics, 2013, 135(5): 051037.
    [12] BAO J H, ZHANG P, ZHU C M, et al. Nonlinear vibration analysis of flexible hoisting rope with time-varying length[J]. International Journal of Acoustics and Vibration, 2015, 20(3): 160-170.
    [13] BAO J H, ZHANG P, ZHU C M. Modeling and control of longitudinal vibration on flexible hoisting systems with time-varying length[J]. Procedia Engineering, 2011, 15: 4521-4526.
    [14] NGUYEN Q C, HONG K S. Asymptotic stabilization of a nonlinear axially moving string by adaptive boundary control[J]. Journal of Sound and Vibration, 2010, 329(22): 4588-4603.
    [15] NGUYEN Q C, HONG K S. Simultaneous control of longitudinal and transverse vibrations of an axially moving string with velocity tracking[J]. Journal of Sound and Vibration, 2012, 331(13): 3006-3019.
    [16] LI H Z, LE M D, GONG Z M, et al. Motion profile design to reduce residual vibration of high-speed positioning stages[J]. IEEE/ASME Transactions on Mechatronics, 2009, 14(2): 264-269.
    [17] PRIDGEN B, SINGBOSE W. Comparison of polynomial cam profiles and input shaping for driving flexible systems[J]. Journal of Mechanical Design, 2012, 134(12):1-7.
    [18] WANG J J, CAO G H, ZHU Z C, et al. Lateral response of cable-guided hoisting system with time-varying length: theoretical model and dynamics simulation verification[J]. Journal of Mechanical Engineering Science, 2015, 229(16): 2908-2920.
    [19] KURMYSHEV E V. Transverse and longitudinal mode coupling in a free vibrating soft string[J]. Physics Letters A, 2003, 310(2/3): 148-160.
    [20] 温鹏.多绳摩擦提升系统钢丝绳横向振动研究[J]. 煤, 2017, 26(3): 52-54.WEN Peng. Research on transverse vibration of steel wire rope in multi-rope friction lifting system[J]. Coal, 2017, 26(3): 52-54.(in Chinese)
    [21] ZHUW D, CHEN Y. Forced response of translating media with variable length and tension: application to high-speed elevators[J]. Journal of Multi-body Dynamics, 2005, 219(1): 35-53.
    [22] 包继虎.高速电梯提升系统动力学建模及振动控制方法研究[D].上海:上海交通大学, 2014.
    [23] CHEN L Q, WU J, ZU J W. Asymptotic nonlinear behaviors in transverse vibration of an axially accelerating viscoelastic string[J]. Nonlinear Dynamics, 2004, 35(4): 347-360.
    [24] FANG Y, HU J, LIU W, et al. Smooth and time-optimal S-curve trajectory planning for automated robots and machines[J]. Mechanism and Machine Theory, 2019, 137: 127-153.
    相似文献
    引证文献
    网友评论
    网友评论
    分享到微博
    发 布
引用本文
分享
文章指标
  • 点击次数:259
  • 下载次数: 536
  • HTML阅读次数: 204
  • 引用次数: 0
历史
  • 收稿日期:2021-05-22
  • 最后修改日期:2021-10-10
  • 在线发布日期: 2024-07-01
  • 出版日期: 2024-06-30
您是第4308231位访问者
振动、测试与诊断 ® 2025 版权所有
技术支持:北京勤云科技发展有限公司
请使用 Firefox、Chrome、IE10、IE11、360极速模式、搜狗极速模式、QQ极速模式等浏览器,其他浏览器不建议使用!