Abstract The commonly used quasi-static model for angular contact bearings is enhanced by coupling contact mechanics and bearing kinematic analyses with traction or friction behavior in ball–race contacts. The points of pure rolling in the contacts, which constitute the primary inputs in the kinematic equations, are determined by minimizing the frictional dissipation based on a prescribed elastohydrodynamic traction model. Such an intricate coupling between contact mechanics, bearing kinematics, and lubricant behavior provides significant enhancement of simple quasi-static model for greatly improved prediction of traction behavior and heat generation in ball bearing contacts. The predictions are in close agreement with those obtained by much more sophisticated dynamic analysis based on integration of classical differential equations of motion of bearing elements. The enhanced quasi-static model can therefore be effectively used as a design tool for optimizing thermal dissipation in ball–race contacts in ball bearings. To facilitate immediate evaluation and implementation of the model to practical problems, a standalone software, containing the enhanced quasi-static model, is made freely available at www.PradeepKGuptaInc.com/AdoreQS.html.

中文翻译：

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角接触球轴承准静态平衡解中的最小能量假说

摘要 角接触轴承常用的准静态模型通过耦合接触力学和轴承运动学分析与滚珠-滚道接触中的牵引或摩擦行为得到增强。接触中的纯滚动点构成运动学方程中的主要输入，通过基于规定的弹性流体动力牵引模型最小化摩擦耗散来确定。接触力学、轴承运动学和润滑剂行为之间的这种复杂耦合显着增强了简单的准静态模型，从而大大改进了对滚珠轴承接触中的牵引行为和发热的预测。这些预测与通过基于轴承元件经典运动微分方程积分的更复杂的动态分析获得的预测非常一致。因此，增强的准静态模型可以有效地用作优化滚珠轴承中滚珠-滚道接触的热耗散的设计工具。为了便于对实际问题的模型进行即时评估和实施，包含增强的准静态模型的独立软件可在 www.PradeepKGuptaInc.com/AdoreQS.html 免费提供。