法向加-卸载过程中弹塑性微凸体侧向接触能耗研究

doi:10.3901/JME.2018.01.150

机械工程学报 ›› 2018, Vol. 54 ›› Issue (1): 150-160.doi: 10.3901/JME.2018.01.150

扫码分享

法向加-卸载过程中弹塑性微凸体侧向接触能耗研究

高志强, 傅卫平, 王雯, 娄雷亭, 吴洁蓓

西安理工大学机械与精密仪器工程学院西安 710048

收稿日期:2016-06-21 修回日期:2016-12-22 出版日期:2018-01-05 发布日期:2018-01-05
通讯作者: 傅卫平(通信作者),男,1957年出生,博士,教授,博士研究生导师。主要研究方向为机电系统动力学及控制、智能机器人、智能车辆控制理论与技术、现代物流系统工程与技术。E-mail:weipingf@xaut.edu.cn
作者简介:高志强,男,1988年出生,博士研究生。主要研究方向为机械系统动态性能分析与优化。E-mail:gaozhiqiangjk@163.com
基金资助:
国家自然科学基金（51275407，51475363）和陕西省自然科学基础研究计划（2015JM5246）资助项目。

Energy Dissipation Study of Elastic-plastic Asperity Side Contact during Normal Loading-unloading

GAO Zhiqiang, FU Weiping, WANG Wen, LOU Leiting, WU Jiebei

School of Mechanical and Precision Instrument Engineering, Xi'an University of Technology, Xian 710048

Received:2016-06-21 Revised:2016-12-22 Online:2018-01-05 Published:2018-01-05

摘要/Abstract

摘要： 针对法向加-卸载作用下双粗糙表面上微凸体接触阻尼能耗问题，提出弹性、弹塑性、塑性微凸体侧向接触能耗计算方法。基于微凸体接触球形假设，根据微凸体侧向接触受力分析，将其分解为垂直于微凸体接触点公切面的法向分力和沿该面的切向分力。采用HERTZ，ETSION理论，分别建立了加-卸载过程中微凸体发生弹性、弹塑性、塑性变形时，法向分力与变形之间关系；依据CATTANEO-MINDLIN黏着-滑移理论，BKE模型，ERITEN模型理论，建立了加-卸载过程中三个变形阶段的切向分力与位移之间关系。利用法向分力-变形和切向分力-位移之间的关系，求得微凸体在法向、切向分力共同作用下产生的应变能耗以及摩擦能耗，进而求得微凸体侧向微观接触在三个阶段下的能耗。研究表明，微凸体侧向接触时耗能包括应变耗能和摩擦耗能，且法向变形量越大，应变耗能、摩擦耗能越大；接触角度越大，应变耗能越大，摩擦耗能越小。

关键词: 弹塑性, 法向, 加-卸载, 摩擦能耗, 黏着-滑移, 切向, 应变能耗

Abstract: Designed to the damping problem of asperity contact on double rough surface, The model of elasticity, elastic-plastic and plastic asperity side contact energy dissipation are proposed. The model built on an assumption that asperities are spherical. Through the contact force analysis, two side contact asperities contact force can be divided into a normal component force and a tangential component force. The Hertz and ETSION theory is utilized to set up the relationship between the normal component force and deformation during normal loading-unloading, which undergo three phases of elasticity, elastic-plastic and plastic. The relation between tangential component force and displacement is established in three phases of elasticity, elastic-plastic and plastic, based on the CATTANEO-MINDLIN stick-slip model, BKE model and ERITEN model respectively. Finally, the side contact energy dissipation of asperities undergoes three phases can be get used by the relation between the normal component force and deformation and the relationship between the tangential component force and displacement. The research indicated that the energy dissipation of asperities include strain energy dissipation and friction energy dissipation. Bigger normal deformation results in a higher strain energy dissipation and friction energy dissipation. Greater contact angle has greater strain energy dissipation, but has smaller friction energy dissipation.

Key words: elastic-plastic, friction energy dissipation, loading-unloading, normal, stick-slip, strain energy dissipation, tangential

中图分类号:

TG156

高志强, 傅卫平, 王雯, 娄雷亭, 吴洁蓓. 法向加-卸载过程中弹塑性微凸体侧向接触能耗研究[J]. 机械工程学报, 2018, 54(1): 150-160.

GAO Zhiqiang, FU Weiping, WANG Wen, LOU Leiting, WU Jiebei. Energy Dissipation Study of Elastic-plastic Asperity Side Contact during Normal Loading-unloading[J]. Journal of Mechanical Engineering, 2018, 54(1): 150-160.

参考文献

[1] FU W P,HUANG Y M,ZHANG X L,et al. Experimental investigation of dynamic normal characteristics of machined joint surfaces[J]. Journal of Vibration and Acoustics,2000,122(4):393-398.
[2] 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]. Journal of Mechanical Engineering,2016,52(13):123-130.
[3] SHI J P,MA K,LIU Z Q. Normal contact stiffness on unit area of a mechanical joint surface considering perfectly elastic elliptical asperities[J]. Journal of Tribology,2012,134(3):308-314.
[4] GORBATIKH L,POPOVA M. Modeling of a locking mechanism between two rough surfaces under cyclic loading[J]. International Journal of Mechanical Sciences,2006,48(9):1014-1020.
[5] KOGUT L,ETSION I. Elastic-plastic contact analysis of a sphere and a rigid flat[J]. Journal of Applied Mechanics,2002,69(5):657-668.
[6] CHANDRASEKAR S,ERITEN M,POLYCARPOU A A. An improved model of asperity interaction in normal contact of rough surfaces[J]. Journal of Applied Mechanics,2012,80(1):11-25.
[7] KADIN Y K,YETSION I. Unloading an elastic-plastic contact of rough surfaces[J]. Journal of the Mechanics and Physics of Solids,2006,54(12):2652-2674.
[8] ETSION I,KLIGERMAN Y,KADIN Y. Unloading of an elastic-plastic loaded spherical contact[J]. International Journal of Solids and Structures,2005,42(13):3716-3729.
[9] VAKIS A I. Asperity interaction and substrate deformation in statistical summation models of contact between rough surfaces[J]. Journal of Applied Mechanics,2014,81(4):12-41.
[10] GREENWOOD J A,WILLIAMSON J B P. Contact of nominally flat surfaces[J]. Proceedings of the Royal Society A Mathematical Physical & Engineering Sciences,1966,295(1442):300-319.
[11] ABBOTT E,FIRESTONE F. Specifying surface quality:A method based on accurate measurement and comparison[J]. SPIE MILESTONE SERIES MS,1995,107(63) 233-245.
[12] CHANG W R,ETSION I,BOGY D B. An elastic-plastic model for the contact of rough surfaces[J]. Journal of Tribology,1987,109(2):257-263.
[13] ZHAO Y,CHAN L. A model of asperity interactions in elastic-plastic contact of rough surfaces[J]. Journal of Tribology,2001,123(4):857-869.
[14] JAGER J. Uniaxial deformation of a random packing of particles[J]. Archive of Applied Mechanics,1999,69(3):181-203.
[15] BRAKE M R. An analytical elastic-perfectly plastic contact model[J]. International Journal of Solids and Structures,2012,49(22):3129-3141.
[16] MINDLIN R D. Compliance of elastic bodies in contact[M]. NewYork:Springer,1989.
[17] YOU J M,CHEN T N. Statistical model for normal and tangential contact parameters of rough surfaces[J]. Archive Proceedings of the Institution of Mechanical Engineers Part C Journal of Mechanical Engineering Science,2011,1(1):1-15.
[18] GREENWOOD J A,JOHNSON K L,MATSUBARA E. A surface roughness parameter in Hertz contact[J]. Wear,1984,100(1-3):47-57.
[19] KADIN Y,KLIGERMAN Y,ETSION I. Unloading an elastic-plastic contact of rough surfaces[J]. Journal of the Mechanics & Physics of Solids,2006,54(12):2652-2674.
[20] BRIZMER V,KLIGERMAN Y,ETSION I. Elastic-plastic spherical contact under combined normal and tangential loading in full stick[J]. Tribology Letters,2006,25(1):61-70.
[21] OVCHARENKO A,HALPERIN G,ETSION I. Experimental study of adhesive static friction in a spherical elastic-plastic contact[J]. Journal of Tribology,2008,130(2):21-41.
[22] ERITEN M,POLYCARPOU A A,BERGMAN L A. Physics-based modeling for partial slip behavior of spherical contacts[J]. International Journal of Solids and Structures,2010,47(18-19):2554-2567.

法向加-卸载过程中弹塑性微凸体侧向接触能耗研究

Energy Dissipation Study of Elastic-plastic Asperity Side Contact during Normal Loading-unloading

PDF

可视化

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 15

编辑推荐

Metrics

本文评价

[1]	李梦璇, 丁昊昊, 安博洋, 王文健, 林强, 陈嵘, 刘启跃. U71Mn钢轨在工业与海洋大气环境下腐蚀与磨损行为研究[J]. 机械工程学报, 2024, 60(19): 132-143.
[2]	王雨, 程耿东, 李凯. 结合基降阶策略的高效安定分析数值算法[J]. 机械工程学报, 2023, 59(18): 154-164.
[3]	郭冬梅, 龚雪蓓, 赵伟东. 热-机荷载作用的P-FGM扁球壳跳跃屈曲分析[J]. 机械工程学报, 2022, 58(24): 111-120.
[4]	姜杰潇, 赖建平, 余家欣, 胡海龙, 王伟, 李定骏. Pt基金属玻璃在原子尺度下摩擦磨损行为的研究[J]. 机械工程学报, 2022, 58(13): 194-202.
[5]	曾令城, 李明富, 杨真真, 罗威. 基于先验速度修正的工业机器人曲面跟踪柔顺控制[J]. 机械工程学报, 2022, 58(1): 41-51.
[6]	刘检华, 张飞凯, 丁晓宇. 弹塑性粗糙表面实际接触面积演变规律研究[J]. 机械工程学报, 2021, 57(7): 109-116.
[7]	李玲, 云强强, 王晶晶, 东亚斌, 史小辉. 具有连续光滑特性的结合面接触刚度模型[J]. 机械工程学报, 2021, 57(7): 117-124.
[8]	崔颖, 于颖嘉, 王永亮, 赵爽, 钟兢军. 一种梁式管接头密封性能与结构参数敏感性分析[J]. 机械工程学报, 2021, 57(3): 147-155.
[9]	李姣, 富芳艳, 王广春, 管延锦, 赵国群, 林军. 各向异性弹塑性有限变形的无网格SPH计算方法[J]. 机械工程学报, 2021, 57(18): 153-163.
[10]	王晓鹏, 刘世军. 微点蚀齿轮法向接触刚度分形预估模型[J]. 机械工程学报, 2021, 57(1): 68-76.
[11]	安琪, 索双富, 林福严, 白玉柱, 耿海旭, 时剑文. 平面磨削粗糙表面的微观接触模型[J]. 机械工程学报, 2020, 56(7): 240-248.
[12]	汪朝晖, 饶长健, 孙笑, 高全杰. 基于剪切涡流运动的自激振荡脉冲射流减阻特性[J]. 机械工程学报, 2020, 56(4): 76-84.
[13]	顾乾磊, 张万福, 陈璐琪, 马凯, 李春, 杨建刚. 迷宫密封临界稳定性研究[J]. 机械工程学报, 2020, 56(3): 144-151.
[14]	运睿德, 丁北. 考虑多尺度接触状态的新接触模型[J]. 机械工程学报, 2019, 55(9): 80-89.
[15]	孙殿柱, 梁增凯, 薄志成, 李延瑞, 沈江华. 样点邻域同构曲面约束的散乱点云法向估计[J]. 机械工程学报, 2019, 55(19): 146-153.