In this study, a multi-objective optimization is performed for the design of a spindle-bearing system based on particle swarm optimization (PSO). Multiple objectives, such as natural frequencies, static stiffness, and total friction torque are considered in this design optimization. Bearing preload and bearing locations are selected as the design variables. Pareto-optimal solutions are used to support the selection of optimal values of the design parameters. A finite element model is established for the analysis and design of the spindle system with four angular contact ball bearings. Two optimization processes are performed with the PSO technique. The first process involves the first two natural frequencies and friction torque of the spindle, whereas the second process focuses on the spindle’s static stiffness and friction torque. The simulation results show noticeable improvement in the objectives compared with those of the primitive spindle. The experiments conducted on an actual spindle system fabricated with the optimal design demonstrate the benefits of the optimal design. The proposed design method is expected to be very useful in the design optimization of machine tool spindle systems subjected to various customer-oriented objectives.

在这项研究中，基于粒子群优化（PSO）的主轴轴承系统设计进行了多目标优化。在此设计优化中考虑了多个目标，例如固有频率，静态刚度和总摩擦转矩。选择轴承预紧力和轴承位置作为设计变量。使用帕累托最优解来支持选择设计参数的最优值。建立了有限元模型，用于分析和设计带有四个角接触球轴承的主轴系统。使用PSO技术执行两个优化过程。第一个过程涉及主轴的前两个固有频率和摩擦扭矩，而第二个过程则关注主轴的静态刚度和摩擦扭矩。仿真结果表明，与原始主轴相比，目标有了显着改善。在采用最佳设计制造的实际主轴系统上进行的实验证明了最佳设计的好处。预期所提出的设计方法在满足各种以客户为导向的目标的机床主轴系统的设计优化中将非常有用。