临界接触参数连续的粗糙表面法向接触刚度弹塑性分形模型  

Elastoplastic fractal model for normal contact stiffness of rough surfaces with continuous critical contact parameters

作　　者：王南山[1] 张学良[1] 兰国生[1] 温淑花[1] 陈永会[1] 刘丽琴[1] 牛作证[1] 

机构地区：[1]太原科技大学机械工程学院,太原030024

出　　处：《振动与冲击》2014年第9期72-77,共6页Journal of Vibration and Shock

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(2012011023-4);山西省回国留学人员科研资助项目(2011-076)

摘　　要：基于MB接触分形理论及其修正模型,在弹性和塑性接触变形机制基础上,考虑弹塑性过渡变形机制,建立了临界接触参数连续条件下的计及微接触面积分布域扩展因子影响的粗糙表面法向接触刚度弹塑性分形模型;数值仿真结果表明：弹塑性过渡变形机制对法向接触刚度影响明显,且考虑弹塑性过渡变形机制下的法向接触刚度大于仅考虑弹性和塑性接触机制下的对应法向接触刚度;无量纲法向接触刚度随着无量纲法向接触载荷的增大而增大且因分形维数取值不同而呈凸弧性的非线性关系（分形维数D=1.1--1.4）或近似线性关系（分形维数D=1.4---1.9）,随着分形维数的增大而增大（分形维数D=1.1--1.5）及分形维数的增大而减小（分形维数D=1.5--1.9）,随着分形粗糙度的增大而减小,随着塑性指数的增大而增大。Based on MB contact fractal theory and its modified model,considering elastic and plastic contact deformation,and elastoplastic transit deformation,an elastoplastic fractal model for normal contact stiffness of rough surfaces with continuous critical contact parameters was established taking influence of domain extension factor into account.Numerical simulation results showed the elastoplastic transit deformation has an obvious effect on normal contact stiffness and the dimensionless normal contact stiffness of the elastoplastic fractal model is much larger than that only considering elastic and plastic contact deformation;the dimensionless normal contact stiffness increases with increase in dimensionless normal load but its varying tendency is convex nonlinear（when fractal dimension D is 1 .1 !1 .4）or nearly linear（when fractal dimension D is 1 .4 !1 .9 ）;it increases（when fractal dimension D is 1 .1 !1 .5 ）or decreases（when fractal dimension D is 1 .5 !1 .9 ）with increase in fractal dimension;it decreases with increase in fractal roughness,and increases with increase in plastic index.

关 键 词：结合面 法向接触刚度 弹塑性 分形模型 

分 类 号：TH113.1[机械工程—机械设计及理论]