Study on Microscopic Contact Area in One-dimensional Fractal Interface of Interference Fits

Abstract

Abstract: Through the analyses of the surface profile based on the simulation fit between impeller and shaft, one-dimensional roughness feature of machined surface was obtained. Surface profile of vertical machining direction had obvious fractal characteristics. A theoretical contact model containing one-dimensional roughness feature and fractal characteristic was established based on modified M-B fractal contact model. And the calculation formulation of the real contact area under different normal contact loads was given. Combined with practical rough surfaces, a solid model with one-dimensional roughness feature and fractal characteristic was built to simulate and analysed by ANSYS. The results verified the calculation formulation.

Key words: interference fit, microcosmic surface, contact model, fractal

摘要： 通过对模拟压缩机叶轮和轴过盈配合的试件表面轮廓进行分析，发现切削加工的粗糙配合表面具有单向粗糙度特征，同时垂直加工纹理方向的表面轮廓具有明显分形特性。基于M-B分形接触的修正模型，建立了具有单向粗糙度分形特征表面的理论接触模型，推导出接触面积与法向载荷的函数关系式。结合真实粗糙表面，建立了具有分形特性的单向粗糙度实体模型，利用有限元分析软件对实体模型进行了仿真分析，验证了接触面积与法向载荷函数关系的正确性。

关键词: 过盈配合, 微观表面, 接触模型, 分形

CLC Number:

TH117.1

Shen Jian, Yi Lixiang, Zhou Dan, Liu Guangfu, Du Xiaodong. Study on Microscopic Contact Area in One-dimensional Fractal Interface of Interference Fits[J]. China Mechanical Engineering.

沈健, 易利祥, 周丹, 刘光复, 杜晓东. 过盈配合单向分形界面微观接触面积研究[J]. 中国机械工程.

References

[1]张洪武，廖爱华，吴昌华.压气机过盈配合的弹塑性有摩擦接触的研究[J].工程力学，2007，24(1)：185-192.

Zhang Hongwu，Liao Aihua，Wu Changhua.Study on Elastoplastic Frictional Contact Problem in Interference Fits of Compressors[J].Engineering Mechanics，2007，24(1)：185-192.

[2]黄平，赖添茂.基于真实接触面积的摩擦模型[J].华南理工大学学报：自然科学版，2012，40(10)：109-114.

Huang Ping，Lai Tianmao. Friction Model Based on Real Contact Area[J].Journal of South China University of Technology：Natural Science Edition，2012，40(10)：109-114.

[3]刘宝庆.过盈联接摩擦系数的理论及试验研究[D].大连：大连理工大学，2008.

[4]Majumdar A，Bhushan B.Fractal Model of Elastic-plastic Contact between Rough Surfaces[J]. Journal of Tribology (ASME)，1991，113：1-11.

[5]Majumdar A，Bhushan B.Role of Fractal Geometry in Roughness Characterization and Contact Mechanics of Surfaces[J].Journal of Tribology (ASME)，1990，112：205-216.

[6]Zhou G Y，Leu M C，Blackmore D.Fractal Geometry Prediction[J].Wear， 1993，170：1-14.

[7]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)：197-200.

Wen Shuhua，Zhang Xueliang，Wu Meixian，et al.Fractal Model and Simulation of Normal Contact Stiffness of Joint Interfaces and Its Simulation[J].Transactions of the Chinese Society for Agricultural Machinery，2009，40(11)：197-200.

[8]张长军，贺林.具有单向粗糙度表面接触的分形模型[J]. 西安公路交通大学学报，1998，18（4）：105-109.

Zhang Changjun，He Lin.Fractal Model of Contact between Rough Surface with One-dimensional Roughness[J].Journal of Xi'an Highway University，1998，18（4）：103-107.

[9]付秀娟.变速/变载条件下板料冲压成形性能及其变形机理研究[D].武汉：华中科技大学，2012.

[10]Wang S，Komvopoulos K.A Fractal Theory of the Interfacial Temperature Distribution in the Slow Sliding Regime：Part Ⅰ—Elastic Contact and Heat Transfer Analysis[J]. ASME Journal of Tribology，1994，116(4)：812-823.

[11]Callaghan M，Cameron M A.Static Contact under Load between Nominally Flat Surfaces in Which Deformation is Purely Elastic[J].Wear，1976，36：76-97.

[12]Francis H A.Application of Spherical Indentation Mechanics to Reversible an Irreversible Contact between Rough Surfaces[J].Wear，1977，45：221-269.

[13]葛世荣，朱华.摩擦学的分形[M].北京：机械工业出版社，2005.

[14]陈国安，朱真才，朱华.工程装备磨损研究[M].北京：兵器工业出版社，2003.

[15]朱亚军.过盈配合温差拆解损伤问题的研究[D].合肥：合肥工业大学，2015.

[16]陈东.再制造对象过盈配合的液压拆解问题研究[D].合肥：合肥工业大学，2013.

[17]Kucharski S，Starzynski G.Study of Contact of Rough Surfaces Modeling and Experiment[J].Wear， 2014，311(S 1/2)：167-179.