机械结合面接触模型的研究进展及存在的问题
Advances and Existing Issues in Contact Model of Mechanical Joint Surface

作者: 田红亮 * , 朱大林 , 秦红玲 :三峡大学机械与材料学院,宜昌;

关键词: 结合面接触模型接触刚度接触阻尼Joint Surface Contact Model Contact Stiffness Contact Damping

摘要:
介绍了机械结合面的基本概念。一台机床90%以上的阻尼来自机械结合面。影响机械结合面特性的因素众多,且多为非线性性质。对机械结合面的几种常用接触模型如统计模型、分形模型、有限元模型、试验模型进行了比较全面的回顾和评述,详细地论述了相应模型的优点、存在的问题和应用范围。最后指出了还没有妥善地解决好机械结合面一系列最基本的问题。

Abstract:
The basic concept about mechanical joint surface was introduced. More than 90% of damping in a machine tool comes from mechanical joint surface. There are many factors that affect the characteristics of mechanical joint sur-face, most of which are nonlinear. Some contact models in common use, for example statistical model, fractal model, finite element model and experimental model were relatively generally reviewed. Their advantage, existing issue and application range were discussed in detail. At last, some most basic problems unsatisfactorily solved were pointed out.

文章引用: 田红亮 , 朱大林 , 秦红玲 (2013) 机械结合面接触模型的研究进展及存在的问题。 机械工程与技术, 2, 1-10. doi: 10.12677/MET.2013.21001

参考文献

[1] 温诗铸, 黄平. 摩擦学原理(3版)[M]. 北京: 清华大学出版社, 2008: 219.

[2] J. A. Greenwood, J. B. P. Williamson. Contact of nominally flat surfaces. Proceedings of the Royal Society of London, 1966, 295(1442): 300-319.

[3] S. Ray, S. K. Roy Chowdhury. Prediction of flash temperature at the contact between sliding bodies with nanoscale surface rough- ness. ASME Journal of Tribology, 2007, 129(3): 467-480.

[4] J. Jamari, M. B. de Rooij and D. J. Schipper. Plastic determinis- tic contact of rough surfaces. ASME Journal of Tribology, 2007, 129(4): 957-962.

[5] C.-H. Lee, A. A. Polycarpou. Static friction experiments and veri- fication of an improved elastic-plastic model including rough- ness effects. ASME Journal of Tribology, 2007, 129(4): 754-760.

[6] 濮良贵, 纪名刚. 机械设计(7版)[M]. 北京: 高等教育出版社, 2003: 44.

[7] 饶柱石, 夏松波, 汪光明. 粗糙平面接触刚度的研究[J]. 机械强度, 1994, 16(2): 71-75.

[8] W.-R. Chang, I. Etsion and D. B. Bogy. An elastic-plastic model for the con-tact of rough surfaces. ASME Journal of Tribology, 1987, 109(2): 257-263.

[9] 数学手册编写组. 数学手册[M]. 北京: 高等教育出版社, 2008: 82.

[10] 赵亚溥, 王立森, 孙克豪. Tabor数、粘着数与微尺度粘着弹性接触理论[J]. 力学进展, 2000, 30(4): 529-537.

[11] L. Kogut, I. Etsion. A static friction model for elas-tic-plastic contacting rough surfaces. ASME Journal of Tribology, 2004, 126(1): 34-40.

[12] R. L. Jackson, I. Green. A finite element study of elasto-plastic hemispherical contact against a rigid flat. ASME Journal of Tribology, 2005, 127(2): 343-354.

[13] M. V. Berry, Z. V. Lewis. On the Weierstrass-Mandelbrot fractal function. Proceedings of the Royal Society of London, 1980, 370(1743): 459-484.

[14] A. Ma-jumdar, C. L. Tien. Fractal characterization and simulation of rough surfaces. Wear, 1990, 136(2): 313-327.

[15] A. Majumdar, B. Bhushan. Role of fractal geometry in rough- ness characterization and contact mechanics of surfaces. ASME Journal of Tribology, 1990, 112(2): 205-216.

[16] B. Mandelbrot. How long is the coast of Brit-ain? Statistical self- similarity and fractional dimension. Science, 1967, 156(3775): 636-638.

[17] A. Majumdar, C. L. Tien. Fractal charac-terization and simulation of rough surfaces. Wear, 1990, 136(2): 313-327.

[18] A. Majumdar, B. Bhushan. Fractal model of elas-tic-plastic con- tact between rough surfaces. ASME Journal of Tribol-ogy, 1991, 113(1): 1-11.

[19] J. A. Greenwood, J. H. Tripp. The elastic contact of rough spheres. ASME Journal of Applied Mechanics, 1967, 34(1): 153-159.

[20] 张学良, 温淑花. 基于接触分形理论的结合面切向接触刚度分形模型[J]. 农业机械学报, 2002, 33(3): 91-93, 97.

[21] 张学良, 温淑花, 徐格宁等. 结合部切向接触刚度分形模型研究[J]. 应用力学学报, 2003, 20(1): 70-72.

[22] 张学良, 黄玉美, 傅卫平等. 粗糙表面法向接触刚度的分形模型[J]. 应用力学学报, 2000, 17(2): 31-35.

[23] 张学良, 黄玉美, 韩颖. 基于接触分形理论的机械结合面法向接触刚度模型[J]. 中国机械工程, 2000, 11(7): 727-729.

[24] 张学良, 黄玉美, 温淑华. 结合面接触刚度分形模型研究[J]. 农业机械学报, 2000, 31(4): 89-91.

[25] 温淑花, 张学良, 武美先等. 结合面法向接触刚度分形模型建立与仿真[J]. 农业机械学报, 2009, 40(11): 197-202.

[26] 温淑花,张学良, 文晓光等. 结合面切向接触刚度分形模型建立与仿真[J]. 农业机械学报, 2009, 40(12): 223-227.

[27] 兰国生, 张学良, 丁红钦等. 基于分形理论的结合面改进接触模型[J]. 农业机械学报, 2011, 42(10): 217-223, 229.

[28] 兰国生, 张学良, 丁红钦等. 基于分形理论的结合面静摩擦因数改进模型[J]. 农业机械学报, 2012, 43(1): 213-218.

[29] Z. Q. Liu, J. Sun and W. D. Shen. Critical load analysis for a lay- ered half-space under sliding indentation. Tribology Transactions, 2006, 49(4): 513-525.

[30] H. Zahouani, M. Assoul, R. Vargiolu, et al. The morphological tree transform of surface motifs. Incidence in tribology. Interna- tional Journal of Machine Tools & Manufacture Design, Re-search and Application, 2001, 41(13-14): 1961-1979.

[31] W.-R. Chang, I. Etsion and D. B. Bogy. Adhesion model for me- tallic rough surfaces. ASME Journal of Tribology, 1988, 110(1): 50-56.

[32] S.-M. Kim, J.-H. Ha, S.-H. Jeong, et al. Effect of joint condi- tions on the dynamic behavior of a grinding wheel spindle. In- ternational Journal of Machine Tools & Manufacture Design, Research and Application, 2001, 41(12): 1749-1761.

[33] 黎明, 温诗铸. 纳米压痕技术理论基础[J]. 机械工程学报, 2003, 39(3): 142-145.

[34] 盛选禹, 雒建斌,温诗铸. 基于分形接触的静摩擦系数预测[J]. 中国机械工程, 1998, 9(7): 16-18.

[35] 盛选禹, 雒建斌, 温诗铸. 相对湿度对几种摩擦副静摩擦系数的影响[J]. 摩擦学学报, 2001, 21(1): 42-46.

[36] 盛选禹. 基于分形接触的湿度对静摩擦因数影响分析[J]. 荷泽学院学报, 2006, 28(5): 32-36.

[37] W.-R. Chang, I. Etsion and D. B. Bogy. Static friction coefficient model for metallic rough surfaces. ASME Journal of Tribology, 1988, 110(1): 57-63.

[38] G. M. Hamilton. Explicit equations for the stresses beneath a sliding spherical contact. Proceed-ings of the Institution of Me- chanical Engineers, 1983, 197C: 53-59.

[39] G. M. Hamilton, L. E. Goodman. The stress field created by a circular sliding contact. ASME Journal of Applied Mechanics, 1966, 33(2): 371-376.

[40] 杨桂通. 弹塑性力学引论[M]. 北京: 清华大学出版社, 2004.

[41] 李水根. 分形[M]. 北京: 高等教育出版社, 2006.

[42] 陈辉, 胡元中, 王慧等. 粗糙表面分形特征的模拟及其表征[J]. 机械工程学报, 2006, 42(9): 219-223.

[43] 郁伯铭. 多孔介质输运性质的分形分析研究进展[J]. 力学进展, 2003, 33(3): 333-346.

[44] J. Pullen, J. B. P. Williamson. On the plastic contact of rough surfaces. Proceedings of the Royal Society of London, 1972, 327(1569): 159-173.

[45] 王勖成, 邵敏. 有限单元法基本原理和数值方法[M]. 北京: 清华大学出版社, 1999.

[46] 张杰, 童忠钫. 机床固定结合面动力学建模问题[J]. 振动与冲击, 1994, 51(3): 15-22.

[47] 张杰. 复杂机械结构结合面动力学建模及其参数识别方法的研究[J]. 机械强度, 1996, 18(2): 1-5.

[48] 童忠钫, 张杰. 加工中心立柱床身结合面动态特性研究及参数识别[J]. 振动与冲击, 1992, 43(3): 13-19.

[49] 张杰, 童忠钫. 建立有阻尼振动系统低阶高精度动力学模型的方法[J]. 振动与冲击, 1993, 47(3): 8-15.

[50] 吴志坚, 贾宝贤, 刘永红. 固定结合面参数的计算机模拟计算[J]. 石油大学学报, 2000, 24(2): 82-85.

[51] 吴筱坚. 机床固定结合面的一种建模方法[J]. 机械科学与技术, 2002, 21(3): 439-441.

[52] 黄炎. 工程弹性力学[M]. 北京: 清华大学出版社, 1982.

[53] 王世军, 黄玉美, 赵金娟等. 机床导轨结合部的有限元模型[J]. 中国机械工程, 2004, 15(18): 1634-1636.

[54] 谢波. 滚动直线导轨副可动结合部的动力学建模[D]. 武汉: 华中科技大学硕士学位论文, 2007.

[55] 黄玉美, 付卫平, 董立新等. 结合面法向动态特性参数研究[J]. 机械工程学报, 1993, 29(3): 74-78.

[56] Y. M. Huang, W. P. Fu and J. X. Tong. A method of acquiring applied tangential damping parameters of joint surfaces. Journal of Xi’an University of Technology, 1996, 12(1): 1-5.

[57] 张广鹏, 史文浩, 黄玉美. 机床导轨结合部的动态特性解析方法及其应用[J]. 机械工程学报, 2002, 38(10): 114-117.

[58] 马建辉, 张广鹏, 雷晓强. 机床圆柱结合部的动态特性解析方法[J]. 机床与液压, 2002, 5: 140-142.

[59] D. J. Whitehouse, J. F. Archard. The properties of random sur- faces of significance in their contact. Proceedings of the Royal Society of London, 1970, 316(1524): 97-121.

[60] 贺林, 朱均. 粗糙表面接触分形模型的提出与发展[J]. 摩擦学学报, 1996, 16(4): 375-384.

[61] 张铁山, 张友良, 阎辉. 成形板料表面的接触分形几何模型研究[J]. 中国机械工程, 2004, 15(11): 965-968.

[62] 沈恒范. 概率论与数理统计教程[M]. 北京: 高等教育出版社, 1995.

[63] 张宇, 廖伯瑜. 机床结合部参数的有效识别方法[J]. 昆明理工大学学报, 1998, 23(2): 36-41.

[64] 程耀东, 李培玉. 机械振动学[M]. 杭州: 浙江大学出版社, 2006.

[65] 张志涌. 精通MATLAB6.5版[M]. 北京: 北京航空航天大学出版社, 2003.

[66] 周金萍, 王冉, 吴斌. MATLAB6实践与提高[M]. 北京: 中国电力出版社, 2002.

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