A study on the chattering behavior of an impact damper

PDF(1582 KB)

Journal of Vibration and Shock ›› 2018, Vol. 37 ›› Issue (16) : 7-13.

DU Yanchen,WANG Bin

Author information +

History +

Abstract

An impact damper is a kind of vibration control device used to realize effective vibration reduction, which belongs to the field of nonlinear vibration and has a very wide range of applications in mechanical control.Chattering is the phenomenon of continuous collision arisen in the process of vibration, and there is reported study on the chattering phenomenon of an impact damper.The work studied the chattering behavior of a two-DOF impact vibration reduction system used as a simplified model of the impact damper, and obtained the chattering-completion point and the chattering-completion time of the system through theoretical deduction.The fourth-order Runge-Kutta method was used to simulate the differential equations of the system numerically.The calculated bifurcation diagram and the time-domain map of the system under different parameters validated the correctness of the theoretical derivation.In addition, it is found that the existence of viscosity is an important feature to distinguish the complete chattering from the non complete chattering The study of the work provides a reference for the vibration reduction mechanism of the impact damper, and can effectively solve this kind of chattering problems in collision vibration based on the impact damping.

Key words

collision / chattering / numerical simulation / viscosity

Cite this article

EndNote

Ris (Procite)

Bibtex

Download Citations

DU Yanchen,WANG Bin. A study on the chattering behavior of an impact damper[J]. Journal of Vibration and Shock, 2018, 37(16): 7-13

References

[1] Cheng C C, Wang J Y, Free vibration analysis of a resilient impact damper[J]. International Journal of Mechanical Sciences,2003, 45: 589-604.
[2] Cheng J, Xu H, Inner mass impact damper for attenuating structure vibration[J]. International Journal of Solids and Structures,2006, 43: 5355-5369.
[3] Duncan M R, Wassgren C R, Krousgrill C M. The damping performance of a single particle impact damper[J]. Journal of Sound and Vibration, 2005, 286: 123-144.
[4] Park J, Wang S, Crocker M J. Mass loaded resonance of a single unit impact damper caused by impacts and the resulting kinetic energy influx[J]. Journal of Sound and Vibration, 2009, 323: 877-895.
[5] Popplewell N. Semercigil SE. Performance of the bean bag impact damper for a sinusoidal external force[J].Journal of Sound and Vibration, 1989; 133(2):193-223.
[6] Saeki M. Analytical study of multi-particle damping[J].Journal of Sound and Vibration,2005, 281: 1133-1144.
[7] Wong C X, Daniel M C, Rongong J A. Energy dissipation prediction of particle dampers[J]. Journal of Sound and Vibration, 2009, 319: 91-118.
[8] Shah B M, Nudell J J,Kao K R,etal. Semi-active particle-based damping systems controlled by magnetic fields[J]. JournalofSoundandVibration, 2011, 330: 182-193.
[9] 鲁正,吕西林,闫维明.颗粒阻尼技术研究综述[J].振动与冲击, 2013, 32(7): 1-7.
LU Zheng, LV Xi-lin, YAN Wei-ming. A survey of particle damping technology[J]. Journal of Vibration and Shock,2013, 32(7): 1-7.
[10] 马崇武, 慕青松. 颗粒阻尼器对悬臂梁自由振动的被动减振作用[J].兰州理工大学学报, 2014, 40(3): 165-168.
MA Chong-wu, MU Qing-song. Passive damping effect of particle damper on free vibration of a cantilever beam[J]. Journal of Lanzhou University of Technology , 2014, 40(3): 165-168.
[11] 胡溧, 唐喆, 徐贤, 等. 颗粒阻尼器损耗因子外特性研究[J].中国机械工程, 2015, 26(15): 2005-2009.
HU Li, TANG Zhe, XU Xian, etal. Study on external features of particle damping loss factor[J]. China Mechanical Engineering,2005, 26(15): 2005-2009.
[12] Trigui M, Foltete E, BouhaddiN. Prediction of the dynamic response of aplate treated by particle impact damper[J]. Mechanical Engineering Science,2014, 228(5): 799–814.
[13]Hu L, Shi YG, Yang QL, Song G B. Sound reduction at a target point inside an enclosed cavity using particle dampers[J].Journal of Sound and Vibration,2016,384: 45-55.
[14] PanossianH. Non-obstructive particle damping experience and capabilities[J]. Proceedings of SPIE, The International Society for Optical Engineering, 2002, 4753(2): 936-941.
[15] Gharib M, KarkoubM. Shock-Based Experimental Investigation of the Linear Particle Chain Impact Damper[J]. Journal of Vibration and Acoustics, 2015, 137(6): 061012-1-10.
[16] Du Y C, Wang S L, Zhang J L. Energy dissipation in collision of two balls covered by fine particles[J]. International Journal of Impact Engineering, 2010, 37(3): 309-316.
[17] Du Y C, Wang S L. Modeling the fine particle impact damper[J]. International Journal of Mechanical Sciences, 2010, 52(7):1015-1022.
[18]李海超, 王树林, 杜妍辰, 等. 颗粒碰撞阻尼的时效性研究[J].振动与冲击, 2013, 32(15): 156-160.
LI Hai-chao, WANG Shu-lin, DU Yan-chen, etal. Durability of particle impact dampers[J]. Journal of Vibration and Shock,2013, 32(15): 156-160.
[19]杜妍辰, 刘喆, 李海超. 带弹性支承的颗粒—钢球碰撞阻尼的实验研究[J].振动与冲击, 2013, 32(24): 56-60.
DU Yan-chen, LIU Zhe, LI Hai-chao. Tests for a particle-ball impact damper with elastic support[J]. Journal of Vibration and Shock, 2013, 32(24): 56-60.
[20] 杜妍辰, 张虹. 组合式颗粒阻尼器的减振实验研究[J].中国机械工程, 2015, 26(14):1953-1958.
DU Yan-chen, ZHANG Hong. Experimental Research on Combined Particle Impact Damper[J]. China Mechanical Engineering, 2015, 26(14):1953-1958.
[21] Budd C, Dux F. Chattering and Related Behaviour in Impact Oscillators[J]. Phil. Trans. R. Soc. Lond. A, 1994, 347(1683): 365-389.
[22] Toulemonde C, Gontier C. Sticking motions of impact oscillators[J]. European Journal of Mechanics A / Solids, 1998, 17(2): 339-366.
[23] Wagg D J, Bishop S R. Chatter sticking and chaotic impacting motion in a two-degree of freedom impact[J]. International Journal of Bifurcation and Chaos, 2001, 11(1): 57-71.
[24] Hős C, Champneys A R. Grazing bifurcations and chatter in a pressure relief valve model[J]. Physica D Nonlinear Phenomena, 2012, 241(22):2068-2076.
[25] Demeio L, Lenci S. Asymptotic analysis of chattering oscillations for an impacting inverted pendulum[J]. Quarterly Journal of Mechanics and Applied Mathematics, 2006, 59(3): 419–434.
[26] Singh S, Mukherjee S, Sanghi S. Study of a self-impacting double pendulum[J]. Journal of Sound and Vibration, 2008, 318(4-5): 1180-1196.
[27] Davis R B, Virgin L N. Non-linear behavior in a discretely forced oscillator[J]. International Journal of Non-Linear Mechanics, 2007, 42(5): 744-753.
[28] Wagg D J, Bishop S R. Application of Non-smooth Modelling Techniques to the Dynamics of a Flexible Impacting Beam[J]. Journal of Sound and Vibration, 2002, 256(5): 803-820.
[29] Nordmark A B, Piiroinen P T. Simulation and stability analysis of impacting systems with complete chattering[J]. Nonlinear Dynamics, 2009, 58(1):85-106.