A contact-impact force model based on variable recovery coefficient

WANG Xupeng1, ZHANG Yan1, JI Xiaomin1, MA Shangjun2, TONG Ruiting2

Journal of Vibration and Shock ›› 2019, Vol. 38 ›› Issue (5) : 198-202.

PDF(1273 KB)
PDF(1273 KB)
Journal of Vibration and Shock ›› 2019, Vol. 38 ›› Issue (5) : 198-202.

A contact-impact force model based on variable recovery coefficient

  • WANG Xupeng1, ZHANG Yan1, JI Xiaomin1, MA Shangjun2, TONG Ruiting2
Author information +
History +

Abstract

In order to effectively describe contact-impact phenomena in mechanical systems, an improved contact-impact force model based on variable recovery coefficient was proposed. The variable recovery coefficient model was proposed considering material yield strength and initial impact velocity. Then, taking shaft-bearing, sphere-sphere, and a planar crank-slider mechanism as examples, a great number of numerical simulations and test measurements and their contrastive analyses were used to verify the correctness and effectiveness of the improved model. The results showed that the improved model can more accurately describe contact-impact effects in clearance joints and the influence law of clearance joints on dynamic characteristics of mechanical systems.

Key words

Variable restitution coefficient / Impact force model / Clearance joint / Dynamic characteristics

Cite this article

Download Citations
WANG Xupeng1, ZHANG Yan1, JI Xiaomin1, MA Shangjun2, TONG Ruiting2. A contact-impact force model based on variable recovery coefficient[J]. Journal of Vibration and Shock, 2019, 38(5): 198-202

References

[1] Flores P, Ambrósio J. Revolute joints with clearance in Multibody systems [J], Computers and Structures, 2004, 82(17): 1359-1369.
[2] Flores P. A parametric study on the dynamic response of planar Multibody systems with multiple clearance joints [J], Nonlinear Dynamics, 2010, 61(4): 633-653.
[3] 郝雪清,陈江义.不同运动副材料对间隙机构动力学特性的影响[J],振动与冲击,2012, 31(12): 19-21.
HAO Xueqing, CHEN Jiangyi. Effects of different materials in joints on dynamic characteristics of a mechanism with clearance [J], Journal of Vibration and Shock, 2012,31(12), 19-21.
[4] Hertz H. Über dies Berührung fester elasticher Körper [J]. Journal reine und angewandte Mathematik, 1881, (92): 156-171.
[5] Ciavarella M, Decuzzi P. The state of stress induced by the Plane frictionless cylindrical contact 1: the case of elastic similarity [J]. International Journal of Solid and Structures, 2001, 38: 4507-4523.
[6] Liu Caishan, Zhang Ke, Yang Lei. The compliance contact model of cylindrical joints with clearance [J], Acta Mechanica Sinica, 2005, 21(5):451-458.
[7] Goldsmith W. Impact-The theory and Physical Behaviour of Colliding Solids [M]. London, England: Edward Arnold Ltd., 1960.
[8] Hunt K H, Crossley F R E, Coefficient of restitution interpreted as damping in vibroimpact [J]. Journal of Applied Mechanics, 1975, 7: 440-445.
[9] Lankarani H M, Nikravesh P E. A contact force model with hysteresis damping for impact analysis of multi-body systems [J]. Journal of Mechanical Design, 1990, 112: 368-376.
[10] Gonthier Y, McPhee J, Lange C, Piedboeuf JC. A regularized contact model with asymmetric damping and dwell-time dependent friction [J]. Multibody system dynamics, 2004, 11: 209-233.
[11] 秦志英, 陆启韶. 基于恢复系数的碰撞过程模型分析 [J]. 动力学与控制学报, 2006, (4): 294-298.
    QIN Zhiying, LU Qishao, Analysis of impact process based on restitution coefficient [J]. Journal of Dynamics and Control, 2006 (4): 294-298.
[12] Flores P, Machado M, Silva M T, Martins J.M. On the continuous contact force models for soft materials in multibody dynamics [J]. Multibody system dynamics, 2011, 25: 357-375.
[13] Liu C S, Zhang K, Yang R. The FEM analysis and approximate model for cylindrical joints with clearances [J]. Mechanism and Machine Theory, 2007, 42: 183-197.
[14] Bai Z F, Zhao Y. A hybrid contact force model of revolute joint with clearance for planar mechanical systems [J]. International Journal of Non-Linear Mechanics, 2013, 48: 15-36.
[15] 白争锋,赵阳,赵志刚.考虑运动副间隙的机构动态特性研究[J], 振动与冲击,2011,30(11): 17-20.
BAI Zheng-feng,ZHAO Yang,ZHAO Zhi-gang. Dynamic characteristics of mechanisms with joint clearance [J], Journal of Vibration and Shock, 2011, 30(11):17-20.
[16] 王旭鹏, 刘更, 马尚君.含间隙运动副机构的动力学特性研究[J]. 振动与冲击, 2016, 35 (7): 110-115.
Wang Xupeng, Liu Geng, Ma Shangjun. Study on dynamic characteristics of mechanisms with clearance joint [J], Journal Vibration and Shock, 2016, 35(7) : 110-115.
[17] Xupeng Wang, Geng Liu, Shangjun Ma. Dynamic analysis of planar mechanical systems with clearance joints using a new nonlinear contact force model [J], Journal of Mechanical Science Technology, 2016, 30 (4):1537-1545.
[18] C.W. Stammers, M Ghazavi. A theoretical and experimental study of the dynamics of a four-bar chain with bearing clearance: pin motion, contact loss and impact [J]. Journal of Sound and Vibration, 1991, 150(2):301-315.
[19] H. Minamoto, S. Kawamura. Effects of material strain rate sensitivity in low speed impact between two identical spheres [J].International Journal of Impact Engineering, 36(2009) :680-686.
[20] P. Flores, C. S Koshy, H. M Lankarani et al. Numerical and experimental investigation on Multibody systems with revolute clearance joints [J]. Nonlinear Dynamics, 2011, 65(4):383-398.
[21] S. Dubowsky, F. Freudenstein, Dynamic analysis of mechanical systems with clearances, Part 1: formulation of dynamic model [J]. Journal of Engineering for Industry 93 (1971) 305–309.
[22] Q. Tian, C. Liu, M. Machado, P. Flores, A new model for dry and lubricated cylindrical joints with clearance in spatial flexible multibody systems, Nonlinear Dynamics 64 (2011) 25–47.
[23] M. Machado, P. Moreira, P. Flores, H.M. Lankarani, Compliant contact force models in multibody dynamics: Evolution of the Hertz contact theory [J]. Mechanism and Machine Theory, 2012, 53: 99-121.
[24] Y.N. Zhang, S. Inna. Validation of nonlinear viscoelastic contact force models for low speed impact [J]. Journal of Applied Mechanics, 2009, 76 (5)911-914.
PDF(1273 KB)

573

Accesses

0

Citation

Detail

Sections
Recommended

/