考虑域扩展因子的结合面静摩擦系数模型  

The Static Friction Coefficient Model Considering the Domain Expansion Factor

作　　者：李小彭[1] 郭爽 刘洋[1] 户丹丹 LI Xiao-peng;GUO Shuang;LIU Yang;HU Dan-dan(School of Mechanical Engineering & Automation, Northeastern University, Liaoning Shenyang 110819, China)

机构地区：[1]东北大学机械工程与自动化学院,辽宁沈阳110819

出　　处：《机械设计与制造》2019年第4期256-259,共4页Machinery Design & Manufacture

基　　金：国家自然科学基金资助项目(51275079);中央高校基本科研业务专项资金资助(N160306003)

摘　　要：在M-B分形理论的基础上,建立了考虑域扩展因子的结合面静摩擦系数分形模型。在该模型中,域扩展因子不再是一个常数,而是一个随着分形维数改变的量。同时,通过数值仿真,得出了各相关参数与结合面静摩擦系数之间的非线性关系:发现结合面静摩擦系数与无量纲法向总载荷和材料特性参数有着相同的变化趋势;结合面静摩擦系数与无量纲分形特征长度尺度参数的变化趋势相反。此外,结合面静摩擦系数与分形维数的关系不具有单调性,静摩擦系数在分形维数D取1.5附近达到最大:当时,结合面静摩擦系数与分形维数的变化趋势相同;当时,结合面静摩擦系数与分形维数的变化趋势相反。Based on M-B fractal theory, the model of static friction coefficient is established in it. The domain expansion factor is considered in this model, which is not a constant, but a variable with the fractal dimension. Moreover, the nonlinear relationship between the parameters and the static friction coefficient is revealed by numerical simulation. Results show that the static friction coefficient have the same change trend with normal load and material properties , but have opposite trend with fractal characteristic length scale parameter . In addition, the relationship between the static friction coefficient and the fractal dimension is not monotonic. The static friction coefficient reaches the maximum when the fractal dimension D is near 1.5: When , the static friction coefficient have the same change trend with fractal dimension;when , the static friction coefficient have opposite trend with fractal dimension.

关 键 词：分形理论 静摩擦系数 域扩展因子 非线性关系 数值仿真 

分 类 号：TH16[机械工程—机械制造及自动化] TH113.1