考虑摩擦因素的结合面加/卸载分形理论模型  

Fractal Theory Model of the Joint Interface During Loading and Unloading Considering Friction Factors

作　　者：王颜辉 张学良[1] 温淑花[1] 陈永会[1] WANG Yanhui;ZHANG Xueliang;WEN Shuhua;CHEN Yonghui(School of Mechanical Engineering, Taiyuan University of Science and Technology, Taiyuan 030024, China;Department of Electrical and Mechanical Engineering, Shanxi Institute of Energy, Jinzhong 030600, China)

机构地区：[1]太原科技大学机械工程学院,太原030024 [2]山西能源学院机电工程系,山西晋中030600

出　　处：《太原理工大学学报》2021年第4期654-661,共8页Journal of Taiyuan University of Technology

基　　金：国家自然科学基金资助项目(51275328);山西省自然科学基金资助项目(201901D111248);山西省研究生教育创新项目(2020BY112);山西省“1331”工程重点学科建设资助项目。

摘　　要：基于微凸体的弹性、第一弹塑性、第二弹塑性、塑性变形状态,考虑摩擦因素的影响,得出单个微凸体在各变形阶段加/卸载过程中接触面积和接触载荷分形理论模型。引入参数:结合面在各个变形阶段分布密度函数修正系数Ce、Cep1、Cep2,接触载荷修正系数De、Dep1、Dep2,进而推导出考虑摩擦因素情况下,结合面在各变形阶段加/卸载过程实际接触面积、接触载荷分形理论模型。根据该模型,结合面加/卸载过程实际接触面积、接触载荷与摩擦力修正因子kμ、屈服极限σs、等效弹性模量E′、轮廓参数G、分形维数D、粗糙表面频率参数γn有关,而结合面在卸载过程实际接触面积、接触载荷还与最大变形量及卸载后残余变形量有关。On the basis of the elastic,first elastic-plastic,second elastic-plastic and plastic deformation states of asperity,and considering the influence of friction factors,we established a fractal theoretical model of contact area and contact load of a single asperity during loading and unloading at each deformation stage.Parameters were introduced:distribution density function correction coefficients Ce,Cep1,and Cep2,and contact load correction coefficients De,Dep1 and Dep2,of the joint interface at each deformation stage,and then the actual contact area and contact load fractal theoretical models of the loading and unloading process of the joint interface at each deformation stage under the consideration of friction factors were deduced.According to the models,the actual contact area and contact load of the joint interface in the loading-unloading process are related to the friction correction factor,yield limit,equivalent elastic modulus,contour parameter,fractal dimension,and frequency parameter of rough surface,while those in the unloading process are also related to the maximum deformation and residual deformation after unloading.

关 键 词：结合面 分形理论 卸载 摩擦因素 

分 类 号：TH113.1[机械工程—机械设计及理论]