Asperity model construction and contact characteristics analysis of rough surfaces

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Journal of Vibration and Shock ›› 2023, Vol. 42 ›› Issue (2) : 43-50.

LI Ling，HE Benshuai，WANG Jingjing，ZHANG Jinhua，CAI Anjiang

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Abstract

A method using the equivalent asperity of a quadratic rotating body is proposed based on rough surface topography measurement experiments. The analytical relationship between the contact radius and the contact deformation of the asperity is established, which makes up for the defect of a single radius of curvature in the hemisphere model. Then, the contact expressions of a single asperity in three deformation stages of elastic, elastoplastic and fully plastic are deduced through the geometric model. The microscopic contact model of the rough surface is established based on the theory of contact mechanics and statistical methods. Finally, the simulation results of the model are compared with CEB model, ZMC model and KE model to verify the validity. Furthermore, the influence law of plasticity index and asperity size parameters on contact characteristics is revealed. The results show that the quadratic function model is better than the hemisphere model in fitting the contour of the asperity. The model can more accurately analyze the contact characteristics of the joint surface under higher loads. Additionally, the plasticity index is the main factor affecting the contact stiffness, and the contact area decreases with the increase of the plasticity index, resulting in a weaker ability to resist deformation. The influence of asperity size parameters on contact stiffness is relatively small, and the contact area and contact stiffness increase with the increase of the ratio of asperity diameter to height.

Key words

Rough surface / Surface topography / Contact model / Parameters of asperity / Contact stiffness

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LI Ling，HE Benshuai，WANG Jingjing，ZHANG Jinhua，CAI Anjiang. Asperity model construction and contact characteristics analysis of rough surfaces[J]. Journal of Vibration and Shock, 2023, 42(2): 43-50

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