Journal of Mechanical Engineering >

2017 , Vol. 53 >Issue 17: 172 - 184

DOI: https://doi.org/10.3901/JME.2017.17.172

Fractal Model of Normal Stiffness for Slow Sliding Surface in Machine Tool Ground Foot and Experimental Confirmation

  • TIAN Hongliang ,
  • DONG Yuanfa ,
  • YU Yuan ,
  • ZHANG Yi ,
  • CHEN Tianmin ,
  • ZHENG Jinhua
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  • College of Mechanical and Power Engineering, China Three Gorges University, Yichang 443002

Received date: 2016-10-14

  Revised date: 2016-12-15

  Online published: 2014-01-02

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Abstract

The contact deflexion at the tip of the asperity is deduced from the medial contact pressure at an elastic microcontact. The critical mean pressure for an asperity initial yield is computed comprising the dynamic friction coefficient. The theoretical and experimental ways to identify the surface fractal dimension and characteristic length are achieved adopting the power spectrum density function about the undamped natural angular frequency as a variable. The emulation results reveal that an increase in dynamic friction coefficient causes an attenuation in critical average pressure for an asperity initial yield. The fractal domain extension factor diminishes with the augmentation of fractal dimension. When the fractal dimension adds, the asperity maximum combination area reduces linearly. The normal contact stiffness will all attenuate by extending kinetic friction coefficient, area ratio and characteristic length. The normal contact stiffness is strengthened with the enhancing fractal dimension, contact area ratio, normal contact load or asperity maximum combination area. The finite element simulation is applied to demonstrate the normal contact parameters identification results in surface. The dynamic compliance and normal contact stiffness data from finite element model are in accordance with the experimental ones thinking over surface parameters.

Key words： slow sliding surface; normal contact stiffness; kinetic friction coefficient; average pressure at an elastic microcontact; total strai

Cite this article

TIAN Hongliang , DONG Yuanfa , YU Yuan , ZHANG Yi , CHEN Tianmin , ZHENG Jinhua . Fractal Model of Normal Stiffness for Slow Sliding Surface in Machine Tool Ground Foot and Experimental Confirmation[J]. Journal of Mechanical Engineering, 2017 , 53(17) : 172 -184 . DOI: 10.3901/JME.2017.17.172

References

[1] 黄平,郭丹,温诗铸. 界面力学[M]. 北京:清华大学出版社, 2013. HUANG Ping, GUO Dan, WEN Shizhu. Interface mechanics[M]. Beijing:Tsinghua University Press, 2013.
[2] SUN Wei, KONG Xiangxi, WANG Bo, et al. Statics modeling and analysis of linear rolling guideway considering rolling balls contact[J]. Proceedings of the Institution of Mechanical Engineers Part C:Journal of Mechanical Engineering Science, 2015, 229(1):168-179.
[3] 张学良,陈永会,温淑花,等. 考虑弹塑性变形机制的结合面法向接触刚度建模[J]. 振动工程学报, 2015, 28(1):91-99. ZHANG Xueliang, CHEN Yonghui, WEN Shuhua, et al. The model of normal contact stiffness of joint interfaces incorporating elastoplastic deformation mechanism[J]. Journal of Vibration Engineering, 2015, 28(1):91-99.
[4] ZHANG Xueliang, WANG Nanshan, LAN Guosheng, et al. Tangential damping and its dissipation factor models of joint interfaces based on fractal theory with simulations[J]. Transactions of the ASME Journal of Tribology, 2014, 136(1):011704-1-011704-10.
[5] 田红亮,钟先友,秦红玲,等. 依据各向异性分形几何理论的固定结合部法向接触力学模型[J]. 机械工程学报, 2013, 49(21):108-122. TIAN Hongliang, ZHONG Xianyou, QIN Hongling, et al. Normal contact mechanics model of fixed joint interface adopting anisotropic fractal geometrical theory[J]. Journal of Mechanical Engineering, 2013, 49(21):108-122.
[6] 田红亮,钟先友,赵春华,等. 区分弹性与塑性变形的结合面法向校正模型[J]. 机械工程学报, 2014, 50(17):107-123. TIAN Hongliang, ZHONG Xianyou, ZHAO Chunhua, et al. Normal revised model of joint interface distinguishing elastic and plastic deformation[J]. Journal of Mechanical Engineering, 2014, 50(17):107-123.
[7] 田红亮,钟先友,赵春华,等. 计及弹塑性及硬度随表面深度变化的结合部单次加载模型[J]. 机械工程学报, 2015, 51(5):90-104. TIAN Hongliang, ZHONG Xianyou, ZHAO Chunhua, et al. One loading model of joint interface considering elastoplastic and variation of hardness with surface depth[J]. Journal of Mechanical Engineering, 2015, 51(5):90-104.
[8] MAO Kuanmin, LI Bin, WU Jun, et al. Stiffness influential factors-based dynamic modeling and its parameter identification method of fixed joints in machine tools[J]. Elsevier International Journal of Machine Tools & Manufacture, 2010, 50(2):156-164.
[9] CHLEBUS E, DYBALA B. Modelling and calculation of properties of sliding guideways[J]. Elsevier International Journal of Machine Tools & Manufacture, 1999, 39(12):1823-1839.
[10] MI Liang, YIN Guofu, SUN Mingnan, et al. Effects of preloads on joints on dynamic stiffness of a whole machine tool structure[J]. Springer Journal of Mechanical Science and Technology, 2012, 26(2):495-508.
[11] WU J S S, CHANG J C, HUNG J P. The effect of contact interface on dynamic characteristics of composite structures[J]. Elsevier Mathematics and Computers in Simulation, 2007, 74(6):454-467.
[12] LIN C Y, HUNG J P, LO T L. Effect of preload of linear guides on dynamic characteristics of a vertical column-spindle system[J]. Elsevier International Journal of Machine Tools & Manufacture, 2010, 50(8):741-746.
[13] OHTA H, HAYASHI E. Vibration of linear guideway type recirculating linear ball bearings[J]. Elsevier Journal of Sound and Vibration, 2000, 235(5):847-861.
[14] DHUPIA J S, ULSOY A G, KATZ R, et al. Experimental identification of the nonlinear parameters of an industrial translational guide for machine performance evaluation[J]. Journal of Vibration and Control, 2008, 14(5):645-668.
[15] HUNG J P. Load effect on the vibration characteristics of a stage with rolling guides[J]. Springer Journal of Mechanical Science and Technology, 2009, 23(1):89-99.
[16] 毛宽民,李斌,谢波,等. 滚动直线导轨副可动结合部动力学建模[J]. 华中科技大学学报, 2008, 36(8):85-88. MAO Kuanming, LI Bin, XIE Bo, et al. Dynamic modeling of the movable joint on rolling linear guide[J]. Journal of Huazhong University of Science and Technology, 2008, 36(8):85-88.
[17] 毛宽民,龚灿,李斌,等. 考虑波纹度的滚珠直线导轨动力学建模研究[J]. 华中科技大学学报, 2014, 42(6):1-5. MAO Kuanmin, GONG Can, LI Bing, et al. Dynamic modeling research of linear motion ball guide considering surface waviness[J]. Journal of Huazhong University of Science and Technology, 2014, 42(6):1-5.
[18] KONG Xiangxi, SUN Wei, WANG Bo, et al. Dynamic and stability analysis of the linear guide with time-varying, piecewise-nonlinear stiffness by multi-term incremental harmonic balance method[J]. Elsevier Journal of Sound and Vibration, 2015, 346:265-283.
[19] WANG Shao, KOMVOPOULOS K. A fractal theory of the interfacial temperature distribution in the slow sliding regime:Part Ⅰ——Elastic contact and heat transfer analysis[J]. Transactions of the ASME Journal of Tribology, 1994, 116(4):812-823.
[20] WANG Shao, KOMVOPOULOS K. A fractal theory of the temperature distribution at elastic contacts of fast sliding surfaces[J]. Transactions of the ASME Journal of Tribology, 1995, 117(2):203-215.
[21] 李小彭,郭浩,刘井年,等. 考虑摩擦的结合面法向刚度分形模型及仿真[J]. 振动、测试与诊断, 2013, 33(2):210-213, 336. LI Xiaopeng, GUO Hao, LIU Jingnian, et al. Fractal model and simulation of normal contact stiffness considering the friction between joint surfaces[J]. Journal of Vibration, Measurement & Diagnosis, 2013, 33(2):210-213, 336.
[22] 李小彭,王伟,赵米鹊,等. 考虑摩擦因素影响的结合面切向接触阻尼分形预估模型及其仿真[J]. 机械工程学报, 2012, 48(23):46-50. LI Xiaopeng, WANG Wei, ZHAO Mique, et al. Fractal prediction model for tangential contact damping of joint surface considering friction factors and its simulation[J]. Journal of Mechanical Engineering, 2012, 48(23):46-50.
[23] MAJUMDAR A, TIEN C L. Fractal characterization and simulation of rough surfaces[J]. Elsevier Wear, 1990, 136(2):313-327.
[24] MAJUMDAR A, BHUSHAN B. Fractal model of elastic-plastic contact between rough surfaces[J]. Transactions of the ASME Journal of Tribology, 1991, 113(1):1-11.
[25] 费斌,王海容,蒋庄德. 机械加工表面分形特性的研究[J]. 西安交通大学学报, 1998, 32(5):83-86. FEI Bin, WANG Hairong, JIANG Zhuangde. Fractal characterization of mechanical surfaces[J]. Journal of Xi'an Jiaotong University, 1998, 32(5):83-86.
[26] 郝培,余海东,赵勇. 考虑隧道表面特性的硬岩全断面掘进装备撑靴接触界面刚度分析[J]. 上海交通大学学报, 2014, 48(6):827-832. HAO Pei, YU Haidong, ZHAO Yong. Normal stiffness of tunnel surface contacting with thrusting boots of TBM with various surface characteristics[J]. Journal of Shanghai Jiao Tong University, 2014, 48(6):827-832.
[27] 张辉,于长亮,王仁彻,等. 机床支撑地脚结合部参数辨识方法[J]. 清华大学学报, 2014, 54(6):815-821. ZHANG Hui, YU Changliang, WANG Renche, et al. Parameters identification method for machine tool support joints[J]. Journal of Tsinghua University, 2014, 54(6):815-821.
[28] 许志倩,闫相祯,杨秀娟,等. 随机抽样在粗糙表面接触力学行为分析中的应用[J]. 西安交通大学学报, 2012, 46(5):102-108, 113. XU Zhiqian, YAN Xiangzhen, YANG Xiujuan, et al. Contact behavior analysis for rough surfaces with random sampling[J]. Journal of Xi'an Jiaotong University, 2012, 46(5):102-108, 113.
[29] 李辉光,刘恒,虞烈. 粗糙机械结合面的接触刚度研究[J]. 西安交通大学学报, 2011, 45(6):69-74. LI Huiguang, LIU Heng, YU Lie. Contact stiffness of rough mechanical joint surface[J]. Journal of Xi'an Jiaotong University, 2011, 45(6):69-74.
[30] 刘恒,刘意,王为民. 接触界面法向刚度等效的新方法[J]. 机械工程学报, 2011, 47(17):37-43. LIU Heng, LIU Yi, WANG Weimin. New equivalent method for normal stiffness of contact interface[J]. Journal of Mechanical Engineering, 2011, 47(17):37-43.
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