Min-max criterion to the optimal design of vibration absorber in a system with Coulomb friction and viscous damping

被引:0
作者
Jie Fang
Qi Wang
Shimin Wang
Qingyun Wang
机构
[1] Beihang University,Department of Dynamics and Control
来源
Nonlinear Dynamics | 2012年 / 70卷
关键词
Dynamic vibration absorber (DVA); Min-max criterion; Sensitivity; Dry friction;
D O I
暂无
中图分类号
学科分类号
摘要
In this paper, an optimal design of damped dynamic vibration absorber using minimax method for a primary system with Coulomb friction and viscous damping is presented. Meanwhile, to reduce sensitivity of the primary system response to the variations of the forcing frequency, a set of constraint equations that include the distribution characteristic of the resonant frequencies of the primary system is established for the optimal design. Effectiveness of the proposed design is illustrated through numerical simulations. The formulations and results in this paper extend previous results given by Den Hartog and Pennestrì.
引用
收藏
页码:393 / 400
页数:7
相关论文
共 40 条
[1]  
Watts P.(1883)On a method of reducing the rolling of ships at sea Trans. Inst. Nav. Arch. 24 165-190
[2]  
Stein G.J.(2008)On dry friction modelling and simulation in kinematically excited oscillatory systems J. Sound Vib. 311 74-96
[3]  
Zahoransky R.(1981)Optimum vibration absorbers for linear damped systems J. Mech. Des. 103 908-913
[4]  
Mucka P.(2004)Minimax optimization of multi-degree-of-freedom tuned-mass dampers J. Sound Vib. 272 893-908
[5]  
Randall S.E.(2005)Design of vibration absorbers for step motion and step disturbances Trans. Am. Soc. Mech. Eng. 127 160-163
[6]  
Zuo L.(2005)The damped dynamic vibration absorbers: revisited and new result J. Sound Vib. 284 1181-1189
[7]  
Nayfeh S.A.(2010)Optimal design of damped dynamic vibration absorber for damped primary systems Trans. Can. Soc. Mech. Eng. 34 119-135
[8]  
Fortgang J.(2006)The two-degree-of-freedom tuned-mass damper for suppression of single-mode vibration under random and harmonic excitation Trans. Am. Soc. Mech. Eng. 128 56-65
[9]  
Sinhose W.(2007)A closed-form optimal tuning criterion for TMD in damped structures Struct. Control Health Monit. 14 681-692
[10]  
Liu K.F.(2008)Optimal design of a damped dynamic vibration absorber for vibration control of structure excited by ground motion Eng. Struct. 30 41-46