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

在铣床的快速旋转主轴中，主轴轴承几乎完全被使用，因为它们具有高速能力，紧凑的尺寸和适度的外围设备。由于其设计为角接触球轴承，其静态和动态行为高度依赖于温度，速度和装配条件，如预载荷。虽然非线性刚度行为可以通过模拟程序进行数值计算，但由于弹性流体力学的高度复杂性和润滑间隙粘度等参数的不充分已知，阻尼行为难以预测。该知识转移项目的目标是根据装配和操作条件确定所选主轴轴承的阻尼参数，并创建主轴轴承阻尼的经验模型。通过将经验确定的阻尼参数与计算参数（如球接触压力）相关联，使用现有的轴承运动学数值计算程序来支持模型的开发。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可以计算主轴系统的动态响应，以模拟动态顺应性和机器-过程交互。

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.