轴承-转子系统中滚动球轴承的动力学相似设计

针对轴承-转子系统缩尺模型中轴承的动力学相似设计问题，基于量纲分析法和相似π定理，建立了轴承-转子系统中滚动球轴承模型的动力相似准则，获得了滚动球轴承模型与原型各动力参数的相似关系.在此基础上根据滚动球轴承刚度计算公式得出刚度与基本参数之间的相似关系，并进行了滚动球轴承接触变形和最小油膜厚度的数值验证.最后通过设计实例说明了所建立的相似关系在实际轴承-转子模型设计中的有效性和实用性.

Dynamic Similarity Design of Rolling Ball Bearing in Bearing Rotor System

For bearing dynamic similarity design problem of bearing rotor system scale model， the dynamic similar criterion of rolling ball bearing was established on the basis of dimensional analysis and similarity π theorem. Similar relations of all dynamic parameters between the model and prototype were obtained. Based on stiffness calculation formula of rolling ball bearing， similar relations between stiffness and basic parameters were achieved. Meanwhile the contact total deformation and minimum oil film thickness were calculated and verified. The validity and practicability of the as established relations are illustrated in design of actual bearing rotor model through a design example.