Calculation method for contact stiffness of contact surface based on multi-scale plastic index model

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Journal of Vibration and Shock ›› 2022, Vol. 41 ›› Issue (3) : 115-122.

ZHAO Yongsheng1,2, NIU Nana1,2, YANG Congbin1,2, LIU Zhifeng1,3, JIANG Kai1,3, MENG Lingjun1,3

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Abstract

The contact characteristics of the joint surface of the bolt connection is the key to affect the dynamic and static characteristics of the mechanical system. When the joint surface is in the vibration fatigue state, it will lead to an increase in damping and a decrease in resonance frequency. Therefore, it is very important to establish an accurate prediction model of bolted joint surface for studying the dynamic characteristics of the entire machine tool. This paper combines the plastic exponential expression, statistical roughness parameter and fractal parameter given by Greenwood and Williamson, and establishes a plastic exponential model related to the frequency order of microconvex body, so as to obtain the elasticity-elasticity-plasticity of microconvex body according to the plastic index. The critical frequency ordinal of plastic deformation, and based on the Hertz contact theory, the contact load and contact stiffness of the entire joint surface are obtained by integrating the micro-convex bodies in different frequency intervals. Finally, the combination of finite element simulation and experiment verifies the correctness of the theoretical model, and proves that the above theoretical model has strong engineering application value.

Key words

Contact surface / Fractal theory / Plasticity index / Frequency ordinal / Contact stiffness

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ZHAO Yongsheng1,2, NIU Nana1,2, YANG Congbin1,2, LIU Zhifeng1,3, JIANG Kai1,3, MENG Lingjun1,3. Calculation method for contact stiffness of contact surface based on multi-scale plastic index model[J]. Journal of Vibration and Shock, 2022, 41(3): 115-122

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