A joint surface normal contact stiffness model based on a new rough surface fractal characterization method

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Journal of Vibration and Shock ›› 2019, Vol. 38 ›› Issue (7) : 212-217.

SUN Jianjun, ZHANG Lingfeng, YU Qiuping, JI Zhengbo, MA Chenbo

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Abstract

It is an important topic in mechanical structure design study to effectively predict contact stiffness of a joint surface. Contact stiffness models of a joint surface are mainly divided into two types including one based on statistical characteristic parameters and the other based on fractal ones. The former depends on the measurement scale of rough surface topography and the latter is independent of measurement scale. When most of researchers used the fractal theory to model rough surface,the size l=a1/2,corresponding to the contact area of an asperity a,was taken as the base size of the asperity to describe the initial profile of asperities,and give incorrect asperities’ deformation mechanism and joint surface’s contact stiffness model. Here,a new rough surface fractal characterization method based on fractal dimension D,roughness parameter G and the maximum asperity height was proposed to explore asperities’ contact deformation mechanism,establish a rough surface contact mechanical fractal model independent of the measurement scale and reveal contact stiffness variation law. The study results showed that the contact load can be described with the expression Fc=F(E,D,G,h,aL); when the contact pressure on a joint surface is less than its yield strength,the joint surface has a certain normal contact stiffness due to the presence of contact points with elastic deformation,no matter what kind of deformation occurs in asperities.

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rough surfaces / joint surface / contact stiffness model / fractal

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SUN Jianjun, ZHANG Lingfeng, YU Qiuping, JI Zhengbo, MA Chenbo. A joint surface normal contact stiffness model based on a new rough surface fractal characterization method[J]. Journal of Vibration and Shock, 2019, 38(7): 212-217

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