高速滚珠轴承动态特性求解的沟道控制理论修

从滚珠轴承高速运转时滚动体(钢球)与内、外沟道接触存在旋滚比出发,分析了高速滚珠轴承动态方程组沟道控制理论的不足.在根据滚动体所受内外圈摩擦力与陀螺力矩相平衡的关系得出的内外沟道控制参数表达式中,引入滚动体与沟道之间摩擦因数的半经验公式.为避免沟道控制理论的不足,滚动体姿态角的计算采用了按照达朗伯原理推导的计算公式,取代了由沟道控制理论得出的姿态角.使得摩擦因数和姿态角的计算同时耦合了滚动体法向载荷的影响而最终成为与方程组同时迭代的变量,并给出了迭代算法,实现了两者的精确表达和精确计算.最后通过算例比较了两种方法的区别,说明了本文方法的计算结果更加精确,适合于现代轴承分析与设计的精确化要求.

of Raceway Control Theory on the Dynamic Equations Group of High-speed Ball Bearing

Based on the analysis of ratio of revolution and rolling on high-speed ball bearing,the shortage of raceway control theory was put forward.Then a precise relationship between inner and outer raceway control parameter was established according to the equilibration of frictional force and gyro moment on rolling ball.The semi-empirical formula about friction factor between rolling element and raceway was introduced into the calculation process.To avoid the shortage of raceway control theory,the attitude angle ...