结合面首次加载过程的法向接触刚度分形模型  

A Fractal Model of Normal Contact Stiffness of Fixed Joint Interface During the First Loading

作　　者：殷东华[1,2] 张学良 温淑花[1] 兰国生[1] 陈永会[1] YIN Dong-hua;ZHANG Xue-liang;WEN Shu-hua;LAN Guo-sheng;CHEN Yong-hui(School of Mechanical Engineering,Taiyuan University of Science and Technology,Taiyuan 030024,China;School of Intelligent Manufacturing Industry,Shanxi College of Technology,Shuozhou 036000,China)

机构地区：[1]太原科技大学机械工程学院,太原030024 [2]山西工学院智能制造产业学院,朔州036000

出　　处：《组合机床与自动化加工技术》2022年第12期6-9,共4页Modular Machine Tool & Automatic Manufacturing Technique

基　　金：山西省自然科学基金(201901D111248)。

摘　　要：基于接触分形理论,采用Hermite插值法建立单个微凸体弹塑性变形阶段的接触面积模型,同时引入平均接触压力参数,弥补了单一微凸体接触载荷建模时存在的不连续缺陷,进而建立了接触刚度模型,在此基础上提出了一种固定结合面加载过程中的法向接触刚度分形模型,并通过对模型的仿真计算直观地揭示了各相关参数的影响规律,以及法向接触刚度和法向接触载荷的关系。仿真结果表明,加载过程中固定结合面无量纲法向接触刚度随着分形维数的增大而增大,且分形维数取值范围不同时增长速率不同;随着特征尺度系数的增大而减小,但是在分形维数取值1.1~1.4时,特征尺度系数的变化对无量纲法向接触刚度的影响不明显;随着塑性指数的增大而增大;随着接触载荷的增大而增大。Based on the contact fractal theory,the Hermite interpolation method is used to establish the contact area model of a single asperity in the elastoplastic deformation stage in this paper,which makes up the discontinuous defects existing in the contact load modeling of a single asperity.Meanwhile,the parameter of average contact pressure is introduced.Based on this,a fractal model of normal contact stiffness of fixed joint interface during loading was proposed.Then the influence of relevant parameters on the normal contact stiffness of joint interface,and the relationship between normal contact stiffness and normal contact load were revealed by simulation.The simulation results show that the dimensionless normal contact stiffness of fixed joint interface increases with the increase of fractal dimension during loading,and the growth rate is different when the range of fractal dimension is different.It decreases with the increase of characteristic scale coefficient,but the change of characteristic scale coefficient has no obvious effect on it when the fractal dimension is selected between 1.1~1.4.It increases with the increase of plasticity index.And it increases with the increase of dimensionless normal contact load.

关 键 词：加载 固定结合面 接触刚度 接触载荷 分形维数 

分 类 号：TH16[机械工程—机械制造及自动化] TG502[金属学及工艺—金属切削加工及机床]