基于矩阵表达的高速角接触球轴承动态特性求解方法

三向联合受载的高速角接触球轴承广泛应用于航空航天、机床等领域,其动态特性的求解是研究轴承设计方法和计算转子系统特性的基础。在分析已有高速角接触球轴承动态计算方法的基础上,提出了根据滚动体高速运转时几何参数和力能参数的变化特征,将复杂的高速角接触球轴承动态方程组简化为两个首尾相连接的二力杆有限元模型的求解方法。并给出了刚度矩阵的具体形式和通过设定初始3个方向的受力求解矩阵组的过程。该方法改善了Newton-Raphson方法求解方程组参数耦合的复杂性。算例表明了该方法的计算结果与传统方法的一致性,可以替代传统的拟静力学方法。

A Method of Solving Dynamic Character of High-Speed Angular-Contact Ball Bearing in Matrix Form

The high-speed angular cantact ball bearing under load at three direction is used widespread in industry,and the analysis of it's dynamic character is the base of bearing design and research of spool system.Based on the analysis of conventional calculation method about the dynamic character of high-speed angular cantact ball bearing,a new calculation method is put forward which simplifies the rolling ball under load at 3 direction into two hinge short bar according to the change features of the contact angle under high speed and the deformation of rolling ball and raceway.The specific form of stiffness matrix is given and the solving process by setting initial value of the load at three direction is discussesd.The complexity because of the variable coupling in the conventional Newton-Raphson method is avoid,and the congervence property is improved by this method.An example indicates that the method in this paper is feasible,and can replace the conventional quasi statics method.