结合面静摩擦因数三维分形模型

摩擦磨损导致部分能源的消耗,且主要发生在接触区域,其接触特性依赖于接触表面之间的微观弹塑性变形.本文在三维接触分形理论的基础上,考虑微凸体的完全弹性和完全塑性阶段的变形机制,建立了结合面静摩擦因数的三维分形模型,推导了静摩擦因数f的解析解.通过仿真研究了分形维数D、无量纲分形特征尺度参数G＊以及无量纲法向总载荷P＊等因素对静摩擦因数的影响规律.结果显示,结合面静摩擦因数f先随着分形维数D的增大而增大,然后随着分形维数D的增大而减小;随着无量纲法向总载荷P＊的增大而增大;随着G＊的增加而减小.

A Fractal Model of Static Friction Coefficient of Joint Interfaces Based on Three-Dimensional Contact Fractal Theory

Friction and wear are the main reasons of energy consumption, which mainly occur in contact area, and the contact properties depend on the micro elastic-plastic deformation between the contact surfaces. Based on three- dimensional contact fractal theory, considering the deformation mechanism of the fully elasto-plastic stage of asperi- duced the analytical solution of static friction coefficient. The simulation shows that the fractal dimension, dimen- sionless fractal characteristic length scale parameter and dimensionless total normal load and other factors have effects on static friction coefficient. The results show that the static friction coefficient increases with the dimensionless total normal load and fractal characteristic length scale parameter increase, but firstly increases with the fractal dimension increase, then decreases