摘要
基于各向异性分形几何理论,推导接触面法向总载荷、最大静摩擦力、静摩擦系数的严格解析解。根据中间自变量接触率,建立接触面静摩擦非线性的数学模型。数值模拟的计算结果表明:静摩擦系数随着法向总载荷或材料性能参数的增加而微向上凸弧式增加,随着分形粗糙度的减小而微向上凸弧式增大;当分形维数较小时,静摩擦系数随着分形维数的增大而增大;当分形维数较大时,静摩擦系数随着分形维数的增大而变小;在绝对刻度坐标系统下,法向总载荷和最大静摩擦力近似表现出线性正比例的关系。
The exact analytical solutions to contact surface's normal total load, maximum static friction force and static friction coefficient were deduced based on the anisotropic fractal geometric theory. The mathematical model of contact surface's nonlinear static friction was set up adopting a medial independent variable named contact ratio. The numerical simulation results showed that the static friction coefficient micro-upwards protrusively increases with increase in normal total load or material behavior parameter, and it micro-upwards protrusively increases with decrease in fractal roughness; when the fractal dimension is smaller, the static friction coefficient increases with increase in the fractal dimension; when the fractal dimension is larger, the static friction coefficient decreases with increase in the fractal dimension; the maximum static friction force is approximately proportional to the normal total load under an absolute scale coordinate system.
出处
《振动与冲击》
EI
CSCD
北大核心
2013年第23期135-144,共10页
Journal of Vibration and Shock
基金
国家自然科学基金资助项目(51275273
51075234)
三峡大学博士科研启动基金资助项目(KJ2012B013)
