Normal contact stiffness of machine joint surfaces under mixed lubrication state

LI Ling, PEI Xiyong, SHI Xiaohui, LI Zhiqiang, CAI Anjiang

Journal of Vibration and Shock ›› 2020, Vol. 39 ›› Issue (3) : 16-23.

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PDF(1179 KB)
Journal of Vibration and Shock ›› 2020, Vol. 39 ›› Issue (3) : 16-23.

Normal contact stiffness of machine joint surfaces under mixed lubrication state

  • LI Ling,  PEI Xiyong,  SHI Xiaohui, LI Zhiqiang,   CAI Anjiang
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Abstract

Aiming at the problem of contact characteristics of machine joint surfaces being affected by oil film under lubrication conditions, based on the idea of a joint surface’s contact stiffness consisting of oil film contact stiffness and solid surface contact stiffness, the joint surface’s normal contact stiffness model was established under mixed lubrication state.The 3-D Weierstrass-Mandelbrot function was used to obtain a rough surface with fractal feature to build a joint surface’s normal contact stiffness model under dry friction condition using the statistics method and considering a micro-convex body’s full elastic deformation process, elastoplastic one and full plastic one.Furthermore, the equivalent thickness of an oil film was solved and its contact stiffness model was built.The results showed that a joint surface’s contact stiffness increases with increase in normal load; a joint surface’s contact stiffness under mixed lubrication state is larger than that under dry friction condition; the proposed model avoids the problem of measuring oil film’s thickness being difficult and provides a help for predicting lubrication state of mechanical structures.

Key words

machine joint surface / mixed lubrication / equivalent thickness / normal contact stiffness / fractal theory

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LI Ling, PEI Xiyong, SHI Xiaohui, LI Zhiqiang, CAI Anjiang. Normal contact stiffness of machine joint surfaces under mixed lubrication state[J]. Journal of Vibration and Shock, 2020, 39(3): 16-23

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参考文献
 [1] Chiu H, Lee C. Prediction of machining accuracy and surface quality for CNC machine tools using data driven approach[J]. Advances in Engineering Software. 2017, 114: 246-257.
 [2] Yuan Y, Cheng Y, Liu K, et al. A revised Majumdar and Bushan model of elastoplastic contact between rough surfaces[J]. Applied Surface Science. 2017, 425: 1138-1157.
 [3] Zhao L, Zhang M, He Y, et al. A new method for modeling rough membrane surface and calculation of interfacial interactions[J]. Bioresource Technology. 2016, 200(2): 451-457.
 [4] Song H, Giessen E V D, Liu X. Strain gradient plasticity analysis of elasto-plastic contact between rough surfaces[J]. Journal of the Mechanics & Physics of Solids. 2016, 96: 18-28.
 [5] Clausnizer H, Fidlin A, Figuli R, et al. Experimental investigation of the permeability of a tribo-contact in dry friction clutches[J]. Tribology International. 2017, 118: 157-162.
 [6] Eid H, Adams G G. An elastic plastic finite element analysis of interacting asperities in contact with a rigid flat[J]. Journal of Physics D: Applied Physics. 2007, 40(23): 7432.
 [7] Greenwood J A, Williamson J B P. Contact of nominally flat surfaces[J]. Proceedings of the Royal Society of London. 1966, 295(1442): 300-319.
 [8] Jackson R L, Green I. A statistical model of elasto-plastic asperity contact between rough surfaces[J]. Tribology International. 2006, 39(9): 906-914.
 [9] Medina S, Nowell D, Dini D. Analytical and numerical models for tangential stiffness of rough elastic contacts[J]. Tribology Letters. 2013, 49(1): 103-115.
[10] Sayles R S, Thomas T R. Surface topography as a nonstationary random process[J]. Nature. 1978, 271(5644): 431-434.
[11] Mandelbrot B B. The fractal geometry of nature.[M]. W.H. Freeman, 1983: 468.
[12] Mandelbrot B B, Passoja D E, Paullay A J. Fractal character of fracture surfaces of metal[J]. Nature. 1984, 308(5961): 721-722.
[13] Majumdar A. Role of fractal geometry in roughness characterization and contact mechanics of surfaces[J]. Trans Asme J Tribology. 1990, 112(2): 205-216.
[14] Majumdar A, Bhushan B. Fractal model of Elastic-Plastic contact between rough surfaces[J]. Journal of Tribology-Transactions of the Asme. 1991, 113(1): 1-11.
[15] Yan W, Komvopoulos K. Contact analysis of elastic-plastic fractal surfaces[J]. Journal of Applied Physics. 1998, 84(7): 3617-3624.
[16] 杨红平,傅卫平,王雯,等. 基于分形几何与接触力学理论的结合面法向接触刚度计算模型[J]. 机械工程学报. 2013, 49(1): 102-107.
YANG Hong-ping, FU Wei-ping, WANG Wen, et al. Calculation model of the normal contact stiffness of joints based on the fractal geometry and contact theory[J]. Journal of Mechanical Engineering. 2013, 49(1): 102-107.
[17] 李玲,蔡安江,蔡力钢,等. 螺栓结合面微观接触模型[J]. 机械工程学报. 2016, 52(7): 205-212.
LI Ling, CAI An-jiang, CAI Li-gang, et al. Micro-contact model of bolted-joint interface[J]. Journal of Mechanical Engineering. 2016, 52(7): 205-212.
[18] Liu J, Shao Y. An improved analytical model for a lubricated roller bearing including a localized defect with different edge shapes[J]. Journal of Vibration & Control. 2018, 24(17): 3894-3907.
[19] Gonzalez-Valadez M, Dwyer-Joyce R S, Lewis R. Ultrasonic reflection from mixed Liquid-Solid contacts and the determination of interface stiffness[J]. Tribology & Interface Engineering. 2005, 48(05): 313-320.
[20] Tattersall H G. The ultrasonic pulse-echo technique as applied to adhesion testing[J]. Journal of Physics D Applied Physics. 1973, 6(7): 819.
[21] Chang W R. An Elastic-Plastic model for the contact of rough surfaces[J]. Journal of Tribology. 1987, 109(2): 257-263.
[22] 赵永武,吕彦明,蒋建忠. 新的粗糙表面弹塑性接触模型[J]. 机械工程学报. 2007, 43(3): 95-101.
ZHAO Yong-wu, L(U) Yan-ming, JIANG Jian-zhong. New elastic-plastic model for the contact of rough surfaces[J]. Journal of Mechanical Engineering. 2007, 43(3): 95-101.
[23] Chang W R, Etsion I, Bogy D B. Static friction coefficient model for metallic rough surfaces[J]. Journal of Tribology. 1988, 110(1): 57-63.
[24] Tian H L, Zheng J H, Zhao C H, et al. Calculating method of surface dissipation factor and normal damping[J]. Journal of Shanghai Jiaotong University. 2015, 49(5): 687-694.
[25] Dwyer-Joyce R S, Harper P, Drinkwater B W. A method for the measurement of hydrodynamic oil films using ultrasonic reflection[J]. Tribology Letters. 2004, 17(2): 337-348.
[26] Pan W, Li X, Wang L, et al. A normal contact stiffness fractal prediction model of dry-friction rough surface and experimental verification[J]. European Journal of Mechanics - A/Solids. 2017, 66: 94-102.
 
 
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