基于多尺度下塑性指数模型的结合面接触刚度计算方法

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振动与冲击 ›› 2022, Vol. 41 ›› Issue (3) : 115-122.

论文

赵永胜1，2，牛娜娜1，2，杨聪彬1，2，刘志峰1，3，姜凯1，3，孟令军1，3

作者信息 +

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

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

Author information +

文章历史 +

摘要

螺栓连接结合面的接触特性是影响机械系统动静态特性的关键。当结合面处于振动疲劳状态时，会导致阻尼增大和共振频率减小，因此建立精确的栓接结合面接触模型对研究整个机床的动态特性有着十分重要的意义。结合Greenwood和Williamson给出的塑性指数表达式、统计学的粗糙度参数和分形参数，建立了与微凸体频率序数相关的塑性指数模型，从而根据塑性指数得到微凸体弹性-弹塑性-塑性变形的临界频率序数，并基于赫兹接触理论，通过对不同频率区间内微凸体的积分得到整个结合面的接触载荷和接触刚度。最后，通过有限元仿真与实验相结合共同验证了理论模型的正确性，证明上述理论模型具有较强的工程应用价值。

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.

导出引用

赵永胜1，2，牛娜娜1，2，杨聪彬1，2，刘志峰1，3，姜凯1，3，孟令军1，3. 基于多尺度下塑性指数模型的结合面接触刚度计算方法[J]. 振动与冲击, 2022, 41(3): 115-122

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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