二自由度扭转干摩擦系统的频域响应计算方法

李琳; 范雨; 戴光昊

二自由度扭转干摩擦系统的频域响应计算方法

1.
北京航空航天大学能源与动力工程学院, 北京 100191
2.
中国船舶重工集团公司第七〇三研究所, 哈尔滨 150000

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出版历程
- 收稿日期: 2012-05-03
- 刊出日期: 2013-04-28

Frequency domain solution of 2-DOF torsional dry friction system

1.
School of Energy and Power Engineering, Beijing University of Aeronautics and Astronautics, Beijing 100191, China
2.
No.703 Research Institute, China Shipbuilding Industry Corporation, Harbin 150000, China

摘要

摘要: 针对一类作扭转振动的干摩擦系统,基于库仑阻尼模型和谐波平衡思想给出了其频域响应的求解方法,考虑了干摩擦界面上可能出现的周期内全滑移运动及阻滞-滑移运动.首先,建立了扭转干摩擦系统的二自由度集中质量模型,并进行了无量纲化.其次,建立了以谐波平衡思想处理该动力学模型的方法,并给出了系统的接触面作周期内全滑移运动及阻滞-滑移运动的判定条件.最后,对于这两种接触运动状态,分别给出了其摩擦力的处理方法和谐波展开形式,从而建立了扭转干摩擦系统的频域求解方法.以此方法计算了系统在一组不同的正压力下的响应,其结果与数值积分法所得的结果取得了相当的一致.此半解析方法较数值积分方法更能揭示扭转干摩擦系统的工作机理,并可以大幅提高计算时间,其推导和求解过程可用于类似的非线性系统.
- 库仑干摩擦 /
- 谐波平衡法 /
- 时频转换法 /
- 阻滞-滑移运动 /
- 非线性振动
Abstract: The forced vibration response of a two degree of freedom (DOF) torsional system with Coulomb friction was studied,with a full consideration of the pure-slip and stick-slip contact motions.First,the 2-DOF lumped parameter model of such nonlinear system was presented and derived into a non-dimensional form.Second,the harmonic balance approach was used to establish a general frame of solving the response under different contact motion.Accordingly,the critical condition as well as the harmonic expands of friction force of the pure-slip and stick-slip contact motions were presented.Finally,the procedure of dealing with frequency domain solution was proposed.Based on this method,a group of results were obtained under different normal pressures,and were validated by the numerical integration method with a very good agreement.The proposed semi-analytical method provides more clear insights of the torsional dry friction system and therefore has advantage in computational cost.
- Coulomb dry friction /
- harmonic balance approach /
- time/frequency alternating method /
- stick-slip motion /
- nonlinear vibration

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参考文献(17)

[1]	Griffin J H.A review of friction damping of turbine blade vibration[J].International Journal of Turbo and Jet Engines,1990,7:297-307.
[2]	张雄,王天舒.计算动力学[M].北京:清华大学出版社,2007.
[3]	Xia F.Modeling of a two-dimensional coulomb friction oscillator[J].Journal of Sound and Vibration,2003,265(5):1063-1074.
[4]	Hundal M S.Responde of a base excited system with coulomb and viscous friction[J].Journal of Sound and Vibration,1979,64(3):371-378.
[5]	Gordon C K Y.Forced vibration of a tow degree of freedom system with combined coulomb and viscous damping[J].Journal of Sound and Vibration,1964,64(3):371-378.
[6]	刘延柱,陈立群.非线性振动[M].北京:高等教育出版社, 2003.
[7]	白鸿柏,黄协情.干摩擦振动系统响应计算方法研究[J].振动工程学报,1998,11(4),472-476. BAI Hongbai,HUANG Xieqing.Study on response computation of dry friction damped vibration system[J].Journal of Vibration Engineering,1998,11(4):472-476.(in Chinese)
[8]	Pierre C,Ferri A A,Dowell E H.Multi-harmonic analysis of dry friction damped systems using an incremental harmonic balance method[J].Transaction of the ASME,1985,52(4):958-964.
[9]	漆文凯,高德平.带摩擦阻尼装置系统振动响应分析方法研究[J].航空动力学报,2006,21(1):161-167. QI Wenkai,GAO Deping.Study of vibration response analysis method for the dry friction damping systems[J].Journal of Aerospace Power,2006,21(1):161-167.(in Chinese)
[10]	郝燕平,朱梓根.带摩擦阻尼的叶片响应求解方法[J].航空学报,2001,22(5):411-414. HAO Yanping,ZHU Zigen.New method to resolve vibration response of blades with friction damping[J].Acta Aeronautica et Astromautica Sinica,2001,22(5):411-414.(in Chinese)
[11]	史亚杰.叶片非线性振动响应分析及干摩擦减振设计研究 [D].北京:北京航空航天大学,2006. SHI Yajie.Analysis of nonlinear response and design of vibration damping of shrouded blades system [D].Beijing:Beijing University of Aeronautics and Astronatics,2006.(in Chinese)
[12]	HONG Jie,CHEN Lulu,MA Yanhong,et al.Design method of friction damping at blad-disk joints [R].ASME Paper GT2009-59510,2009.
[13]	SHI Yajie,HONG Jie,SHAN Yingchun. Forced response analysis of shrouded blades by an alternating frequency/time domain method [R].ASME Paper GT2006-90595, 2006.
[14]	Earles S W E,Williams E J.A linearized analysis for frictionally damped systems[J].Journal of Sound and Vibration,1972,24(4):445-458.
[15]	ZENG Liang,LI Lin.The dynamic frictional performance of damping-rings in labyrinth air seal for vibration control [R].ASME Paper GT 2009-59582,2009.
[16]	DUAN Chengwu,Singh R.Forced vibration of a torsional oscillator with coulomb friction under a periodically varying normal load[J].Journal of Sound and Vibration,2009,325(3):499-506.
[17]	晏砺堂,朱梓根,李其汉.高速旋转的机械振动[M].北京:国防工业出版社,1994.