Development of an empirical model of the spindle bearing damping in consideration of the assembly and operating condition for an application-oriented simulation of the dynamic behavior of main spindles

在快速旋转的铣床主轴中，主轴轴承几乎是独一无二的，因为它们的高速性能、紧凑的尺寸和适中的外围设备要求。由于它们被设计为角接触球轴承，它们的静态和动态行为高度依赖于温度、速度和预载荷等装配条件。虽然非线性刚度行为可以用仿真程序进行数值计算，但由于弹流动力学的高度复杂性和对润滑间隙中的粘度等参数的不充分了解，减振行为很难预测。该知识转移项目的目标是根据装配和运行条件确定所选主轴轴承的减振参数，并创建主轴轴承减振的经验模型。模型的开发将使用现有的轴承运动学数值计算程序，通过将经验确定的阻尼参数与计算的参数(如球接触中的压力)关联起来。通过在现有的计算程序中实现该模型，主轴和机床制造商以及用户能够计算主轴系统的动态响应，以模拟动态柔度和机器-进程交互。

In fast-rotating main spindles of milling machines, spindle bearings are used almost exclusively because of their high speed capability, compact size and modest required peripherals. Due to their design as angular contact ball bearings, their static and dynamic behavior is highly dependent on the temperature, the speed and assembly conditions such as the preload. While the non-linear stiffness behavior can be calculated numerically with simulation programs, the damping behavior is difficult to predict due to the high complexity of the elastohydrodynamic and insufficiently known parameters such as the viscosity in the lubrication gap. The goal of this knowledge transfer project is to determine the damping parameters of selected spindle bearings depending on assembly and operating condition and to create an empirical model of the spindle bearing damping. The model development will be supported by using existing numerical computation programs of the bearing kinematics by correlating the empirically determined damping parameters with calculated parameters such as pressure in the ball contact. By implementing the model in the existing calculation programs, spindle and machine manufacturers as well as users are able to calculate the dynamic response of spindle systems to simulate dynamic compliances and machine-process interactions.