机械结合面切向接触阻尼能量耗散弹塑性分形模型  

Elastoplastic Fractal Model for Tangential Contact Damping Energy Dissipation of Machine Joint Interfaces

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

机构地区：[1]太原科技大学机械工程学院,太原030024

出　　处：《机械工程学报》2013年第12期43-49,共7页Journal of Mechanical Engineering

基　　金：国家自然科学基金(51275328;50775153);山西省自然科学基金(2012011023-4);山西省回国留学人员科研(2011-076)资助项目

摘　　要：基于MB接触分形理论及其修正模型和结合面切向阻尼损耗机理,在弹性和塑性变形机制基础上,考虑弹塑性过渡变形机制,建立计及微接触面积分布域扩展因子影响的结合面切向接触阻尼能量耗散的弹塑性分形模型;数值仿真结果显示,当分形维数D=1.1～1.4时,弹塑性过渡变形机制对于结合面切向阻尼能耗的影响不明显;当分形维数D=1.6～1.9时,弹塑性过渡机制情况下切向阻尼能耗低于仅考虑弹性和塑性机制情况下的切向阻尼能耗;结合面量纲一切向接触阻尼耗能与量纲一法向总载荷之间是凹弧型非线性关系,分形维数D对量纲一切向阻尼损耗的影响因分形维数的取值区间不同而不同,在1.1～1.4,1.4～1.6,1.6～1.8,1.8～1.9不同取值区间影响不同,量纲一切向接触阻尼损耗随着分形粗糙度、塑性指数以及切向和法向载荷之比值的增大而增大。Based on contact fractal theory, modified MB fractal model, and considering the mechanism of energy dissipation and the clastoplastic deformation regime（not only fully elastic or plastic regime or plastic and elastic regime） of plane joint interfaces, an elastoplastic fractal model, considering the influence of domain extension factor on micro-contact size distribution, is proposed. Numerical simulations show the influence of clastoplastic deformation regime on dimensionless tangential damping dissipation is not obvious when ffactal dimension D value between 1.1 and 1.4 compared with only considering elastic and plastic deformation regime, while if is found that dimensionless tangential damping dissipation considering elastoplastic deformation regime less than that of only considering elastic and plastic deformation regime when fractal dimension D value between 1.4 and 1.9. There is a concave nonlinear relation between dimensionless tangential damping dissipation and dimensionless total normal load, and the influence of fractal dimension D on dimensionless tangential damping dissipation is different when D=l.l-l.4,D=I.4-1.6, D=1.6-1.8, D=1.8-1.9, respectively. Besides, dimensionless tangential damping dissipation increases with the increment of fractal roughness, plastic index, and the ratio of total normal load to total tangential load.

关 键 词：机械结合面 切向接触阻尼 弹塑性 分形模型 能量耗散 

分 类 号：TH113[机械工程—机械设计及理论]