基于多重调谐质量阻尼器的滚珠丝杠副横向振动控制

PDF(1271 KB)

振动与冲击 ›› 2015, Vol. 34 ›› Issue (10) : 63-67.

论文

王民，李凤蛟，昝涛，高相胜

作者信息 +

The bending vibration control of ball screw via multiple tuned mass damper

WANG Min，LI Feng-jiao，ZAN Tao，GAO Xiang-sheng

Author information +

文章历史 +

摘要

为克服滚珠丝杠副动态特性随螺母沿丝杠运动不断变化，导致丝杠振动难以控制问题，提出采用多重调谐质量阻尼器对滚珠丝杠副横向振动进行控制。建立含多重调谐质量阻尼器的滚珠丝杠副在螺母及两端轴承处弹性支撑条件的动力学模型，获得不同螺母运动、受动态工作负载激励时丝杠横向振动频率响应函数。以不同螺母位置丝杠横向振动频率响应函数幅值最大值最小化为优化目标，获得多重调谐质量阻尼器最佳动力参数。仿真计算结果表明，采用多重调谐质量阻尼器进行丝杠横向振动控制，其效果及鲁棒性显著。关键词：滚珠丝杠；振动控制；多重调谐质量阻尼器；参数优化

Abstract

The ball screw system is widely used as mechanical transmission unit. As the structure of the ball screw is long and narrow, the high speed performance of the screw will be affected by the critical speed and difficult to be improved. In addition, the resonance frequency of screw exists over a considerable range due to the movement of the nut. For overcome this problem, multiple tuned mass dampers are used to control the bending vibration of ball screw in this paper. After establishing the dynamic model of the screw with multiple tuned mass dampers, the frequency response function of the bending vibration of the screw can be calculated. For controlling the bending vibration of the screw along with the nut changing position, a numerical optimization algorithm is used to obtain the optimal design parameters of the multiple tuned dampers. The simulation results show that the multiple tuned mass dampers have a good performance in the control of the bending vibration of the screw.

导出引用

王民，李凤蛟，昝涛，高相胜. 基于多重调谐质量阻尼器的滚珠丝杠副横向振动控制[J]. 振动与冲击, 2015, 34(10): 63-67

WANG Min，LI Feng-jiao，ZAN Tao，GAO Xiang-sheng. The bending vibration control of ball screw via multiple tuned mass damper[J]. Journal of Vibration and Shock, 2015, 34(10): 63-67

参考文献

[1] Xu K，Igusa T．Dynamic characteristics of multiple substructures with closely spaced frequencies[J]. Earthquake Engineering and Structural Dynamics,1992，21:1059-1070．
[2] 李春祥,熊学玉,王肇民．结构-MTMD系统的动力特性研究[J]．振动与冲击,1999,18(4)：52-54．
LI Chun-xiang,XIONG Xue-yu,WANG Zhao-min．
Research on dynamic characteristics of structure MTMD system[J]．Journal Vibration and Shock，1999，18(4)：52-54．
[3] 汪正兴,任文敏,苏继宏,等．多重调谐质量阻尼器参数优化的一种改进算法及其应用[J]．工程学力,2005, 22(5)：26-30．
WANG Zheng-xing,REN Wen-min,SU Ji-hong,et al.
An improved optimization algorithm for MTMD system and its application[J]，Engineering Mechanics，2005,22(5):26-30．
[4] 杨毅青,刘强,王民．面向车削颤振抑制的多重阻尼器优化设计[J].振动工程学报,2010,23(4):468-474．
YANG Yi-qing，LIU Qiang，WANG Min．Optimization of multiple tuned mass dampers for chatter suppression in turing[J]，Journal of Vibration Engineering，2010，23(4):468-474．
[5] 李春祥,熊学玉．结构被动和主动多重调谐质量阻尼器控制策略的发展[J].四川建筑科学研究,2003， 29(2): 88-91．
LI Chun-xiang,XIONG Xue-yu．Development of control strategies of passive and active multiple tuned mass dampers for structures[J].Sichuan Building Science,2003,29(2):88-91．
[6] 刘耀宗,郁殿龙,赵宏刚,等．被动式动力吸振技术研究进展[J].机械工程学报,2007,43(3):14-21．
LIU Yao-zong,YU Dian-long,ZHAO Hong-gang,et al. Review of passive dynamic vibration absorbers[J]. Journal of Mechanical Engineering,2007,43(3):14-21.
[7] Hoang N， Warnitchai P．Design of multiple tuned mass dampers by using a numerical optimizer[J]. Earthquake Engineering and Structural Dynamics，2005 (34):125-144．
[8] LI Hong-nan，NI Xiang-lei．Optimization of nonuni-
formly distributed multiple tuned mass damper[J]. Journal of Sound and Vibration,2007 (308):80-97．
[9] Zuo L,Nayfeh S A．The multi-degree-of-freedom
tuned-mass damper for suppression of single-mode vibration under random and harmonic excitation [J].
ASME Conference Proccdings,2003,37(33):2051-2061．
[10] Dem’yanov V F.Introduction to minimax[M]. New York:Wiley,1974．
[11] 戴曙．机床滚动轴承应用手册[M] ．北京：机械工业
出版社,1993:163-166．