球-球接触条件下扭动微动应力数值模拟  

Numerical simulation of torsional fretting stress under the ball-ball contact condition

作　　者：杜文刚 原思聪[1] 李玲[1] 裴喜永[1] 王永滨 DU Wen-gang;YUAN Si-cong;LI Ling;PEI Xi-yong;WANG Yong-bin(School of Mechanical and Electrical Engineering,Xi'an University of Architecture and Technology,Xi’an 710055)

机构地区：[1]西安建筑科技大学机电工程学院

出　　处：《机械设计》2019年第10期52-61,共10页Journal of Machine Design

基　　金：国家自然科学基金资助项目(51305327);高等学校博士学科点专项科研基金资助项目(20136120120020);陕西省自然科学基金资助项目(2014JQ7270);陕西省工业攻关资助项目(2011K10-18)

摘　　要：在扭动微动的应力分布解析计算中,通过接触表面切应力可以推导出接触体内部的应力。而转矩卸载过程中,由于接触表面切向力表达式复杂,难以推导出接触体内部的应力。为此采用快速傅里叶变换的方法对球-球接触模型进行数值模拟,以此获得卸载时接触体内部的应力分布。首先,计算出接触表面加载时的应力分布,并得到转矩与扭转角之间的迟滞曲线。然后,分析法向力和加卸载转矩共同作用下接触体内部的应力分布,以及最大应力的大小与位置。最后,在迟滞曲线上标明最大应力点位置,并分析黏着区半径c和摩擦因数f对最大应力位置的影响规律。研究表明:卸载时表面切向力qr沿半径方向,先增大再减小最后持续增大;法向力在较大范围内影响接触体应力分布,而转矩主要在深度0~0.5a范围内起作用;黏着区半径c越大,摩擦因数f越小,最大应力点更可能位于接触体内部。In the analytical calculation of the stress distribution of torsional fretting,the internal stress can be derived by the shear stress of the contact surface.During the torque-unloading process,it is difficult to derive the stress inside the contact body due to the complicated expression of the tangential force of the contact surface.To this end,the ball-ball contact model is numerically simulated with the aid of the fast Fourier transform method,in order to obtain the stress distribution inside the contact body during the unloading process.First,the stress distribution when the contact surface is loaded is calculated,and a hysteresis curve between the torque and the torsion angle is identified.Then,the stress distribution inside the contact body as well as the magnitude and position of the maximum stress are analyzed by the combination of the normal force and the unloading torque.Finally,the position of the maximum stress is indicated on the hysteresis curve,and the influence of the radius c of the adhesion zone and the friction coefficient f on the position of the maximum stress is analyzed.The research shows that the surface tangential force qr in the unloading direction increases and then decreases;after that,it increases continuously.The normal force affects the stress distribution of the contact body in a large range,and the torque plays its role mainly in the range of 0~0.5a.The larger the radius c of the adhesion zone,the smaller the friction coefficient f,and the maximum stress is more likely to be identified inside the contact body.

关 键 词：扭动微动 快速傅里叶变换 应力分布 摩擦因数 

分 类 号：TH117[机械工程—机械设计及理论]