摘要
G-W模型在模拟结合面微观接触时，发现当微凸体接触点数0<n<1，两表面会产生接触这一不合理现象，提出修正G-W模型研究低载荷下机械结合面的微观接触特性。通过测量表面微观形貌特征和功率谱函数，获得结合面的微观形貌参数，研究表面粗糙度与接触力、微凸体接触数以及真实接触面积间的关系，分析结果表明：不同表面粗糙度下中心线间距与微凸体接触个数和接触力呈对数关系，间距越大，微凸体接触数目越少，接触力越小；在相同间距下，表面粗糙度越大，微凸体接触数目越少，接触力越大；不同表面粗糙度下微凸体接触个数与接触面积和接触力之间呈线性关系，微凸体的接触数目越多，表面接触面积和接触力越大；相同接触数目下，表面粗糙度越大，真实接触面积和接触力也越大；当接触变形量较小时，修正的G-W模型与Hertz接触模型吻合较好，接触变形与接触力之间呈对数递增，而与真实接触面积间近似呈线性递增关系。
Abstract
When the simulation of micro-contact characteristics of joint interface by G-W model, an unreasonable phenomenon found that the deformation arise from the joint interface when the number of asperity in contact is between 0 and 1. So a modified G-W model is developed to describe the micro-contact characteristics of joint interface. The roughness parameters are obtained by measuring the surface topography of joint surface, the relationship among the surface roughness, the contact force, the number of asperities in contact and the contact area are studied. The results showed that the number of asperities in contact and contact force as a logarithmic function of the normalized distance under different surface roughness, the normalized distance increases as the number of asperities in contact and the contact force decreases. The surface roughness increases as the contact force increases, but the number of asperities in contact the opposite in the same normalized distance. The contact area and the contact force as a line function of the number of asperities in contact in different surface roughness, the number of asperities in contact increases as the contact force and the contact area increases. The more surface roughness, the more contact force and contact area in the same number of asperities in contact. Simulation results of the modified G-W model are in good agreement with the Hertz contact model, the contact deformation as a logarithmic function of the contact force, but contact deformation as a approximate line function of the contact area.
李 玲 李治强 蔡安江 阮晓光.
修正G-W模型研究结合面微观接触特性[J]. 振动与冲击, 2017, 36(21): 46-52
LI Ling LI Zhiqiang CAI Anjiang RUAN Xiaoguang.
Micro-contact Characteristics of joint interface by Modified G-W Model[J]. Journal of Vibration and Shock, 2017, 36(21): 46-52
{{custom_sec.title}}
{{custom_sec.title}}
{{custom_sec.content}}
参考文献
[1] 李玲，蔡安江，蔡力钢，等. 栓接结合部动态特性参数辨识新方法[J]. 振动与冲击，2014，33(14)：15-19+32.
LI ling，CAI Anjiang，CAI Ligang，et al. New method to identify dynamic characteristics of bolted joints[J]. ournal of Vibration and Shock，2014，33(14)：15-19+32.
[2] 杜飞，洪军，李宝童，等. 结合面参数的超声检测方法研究[J]. 西安交通大学学报，2013，47(3)：18-23.
DU Fei，HONG Jun，LI Baotong，et al. Contact Parameter Estimation with Ultrasonic Method [J]. Journal of Xi'an Jiaotong University，2013，47(3)：18-23.
[3] 李玲，蔡力钢，蔡安江，等. 固定结合面切向接触刚度通用性建模方法[J]. 计算机集成制造系统，2015，21（8）：2108-2115.
LI Ling，CAI Ligang，CAI Anjiang，et al. Universal modeling method for tangential stiffness of fixed joint interfaces[J]. Computer Integrated Manufacturing Systems，2015，21（8）：2018-2115.
[4] 王雯，吴洁蓓，傅卫平，等. 机械结合面法向动态接触刚度理论模型与试验研究[J]. 机械工程学报，2016，52(13)：123-130.
WANG Wen，WU Jiebei，FU Weiping，et al. Theoretical and Experimental Research on Normal Dynamic Contact Stiffness of Machined Joint Surfaces[J]. Chinese Journal of Mechanical Engineering，2016，52(13)：123-130.
[5] GREENWOOD J A，WILLIAMSON J B P. Contact of nominally flat surfaces[J]. Mathematical and Physical Sciences，1966，295(1442)：300-319.
[6] CHANG W R，ETSION I，BOGY D B. Elastic plastic model for the contact of rough surfaces[J]. ASME Journal of Tribology，1987，109(2)：257-263.
[7] KOGUT L，ETSION I. Elastic-plastic contact analysis of a sphere and a rigid flat [J]. Journal of Applied Mechanics，2002，69: 657－662
[8] KOGUT L，ETSION I. A finite element based elastic-plastic model for the contact of rough surface [J]. Tribology Transaction，2003，46:383-390.
[9] COHEN D，KLIGERMAN Y，ETSION I. A model for contact and static friction of nominally flat rough surfaces under full stick contact condition [J]. ASME Journal of Tribology，2008，130(3)：031401.1-031401.9.
[10] 赵永武，吕彦明，蒋建忠. 新的粗糙表面弹塑性接触力学模型[J]. 机械工程学报，2007，43(3)：95-101.
ZHAO Yongwu，LÜ Yanming，JIANG Jianzhong. New elastic-plastic model for the contact of rough surfaces[J]. Chinese Journal of Mechanical Engineering，2007，43(3)：95-101.
[11] 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 Anjiang，CAI Ligang，et al. Micro-contact model of Bolted-joint interface[J]. Chinese Journal of Mechanical Engineering，2016，52(7)：205-212.
[12] 温世铸，黄平. 摩擦学原理[M]，第四版，北京：清华大学出版社，2012.10.
WEN Shizhu，Huang Ping. Principles of Tribology (Fourth Edition)[M]. Beijing: Tsinghua University Press，2012.
[13] FAN Jin，QIANG Wan，XU Guo. Plane Contact and Partial Slip Behaviors of Elastic Layers With Randomly Rough Surfaces[J]. ASME Journal of Applied Mechanics，2015，82：091006.
[14] MAJUMDAR A，BHUSHAN B. Fractal model of elastic-plastic contact between rough surfaces[J]. ASME Joural of Tribology，1991，113：1-11.
[15] 李成贵，董申. 三维表面粗糙度参数的矩表征[J]. 计量学报，2001，22（2）：168-173.
LI Chenggui，DONG Shen. Characterization of 3D Surface Roughness by Spectrum Moments[J]. Acta Metrologica sinica，2001，22(2)：168-173.
[16] PAWAR G，PAWLUS P，ETSION I，et al. The Effect of Determining Topography Parameters on Analyzing Elastic Contact Between Isotropic Rough Surfaces[J]. ASME Journal of Tribology，2013，135：011401.
[17] 廖伯瑜，周新民，尹志宏. 现代机械动力学及其工程应用[M]. 北京：机械工业出版社，2004.
LIAO Baiyu，ZHOU Xingmin，YIN Zhihong. Modern machine Dynamics and Application[M]. Beijing：China Mechine Press，2004.
[18] WANG Lei，LIU Haitao，ZHANG Jun，et al. Analysis and modeling for flexible joint interfaces under micro and macro scale[J]. Precision Engineering，2013，37：817-824.
{{custom_fnGroup.title_cn}}
脚注
{{custom_fn.content}}
PDF(2021 KB)
