Modeling of Normal Contact Stiffness of Joint Considering the Horizontal Distance Distribution and Interaction between Asperities

doi:10.3901/JME.2022.21.201

Abstract

Abstract: In rough surface contact model related to side contact between asperities, it is usually necessary to assume the angle distribution law of side contact between asperities. A modeling method of normal contact stiffness of interface considering the horizontal distance distribution and interaction of asperity is proposed, which no longer needs to assume the law of angle distribution but uses the law of the horizontal distance normal distribution between asperities of a rough surface which is discovered for the first time. Based on the law, a normal contact stiffness model of joint considering the horizontal distance distribution and interaction of asperities is established by using statistical theory. The normal contact stiffness and contact load of joint of the new model increase with decrease of standard deviation of horizontal distance between asperities. After the interaction between asperities is considered, the normal contact stiffness decreases. The normal contact stiffness of joint decreases with the increase of elastic modulus and the decrease of material hardness. The results of finite element analysis and modal experiment show that the first three modal frequencies from finite element analysis based on the new contact model are consistent with those from experiment, and the error is smaller than the error between the frequencies from finite element analysis based on the GZQ model and those from modal experiment. The purpose is to break through the theoretical bottleneck that the contact angle distribution function needs to be assumed in side contact by studying the asperities horizontal distance distribution of a single rough surface, and lay a foundation for more accurate prediction of the contact characteristics of the joint.

Key words: horizontal distance distribution, side contact, interaction, contact stiffness

CLC Number:

TH114

FAN Lingsong, WANG Shijun, WU Jingwei, LI Pengyang. Modeling of Normal Contact Stiffness of Joint Considering the Horizontal Distance Distribution and Interaction between Asperities[J]. Journal of Mechanical Engineering, 2022, 58(21): 201-214.

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