基于刚柔耦合的双轴差速式微量进给系统分析

Analysis of dual-axis differential micro-feed system based on rigid-flexible coupling

  • 摘要: 滚珠丝杠的柔性会导致光栅尺测量位置与工作台实际位置之间产生非线性偏差。为深入研究滚珠丝杠对双轴差速微量进给系统(dual-axis differential micro-feed system, DDMS)运动特性的影响,基于有限元方法和虚拟仿真技术构建了DDMS的刚柔耦合动力学模型,并对其运动特性进行了分析。结果表明,在匀速运动阶段,丝杠的弹性变形会引发运动初期的速度波动现象;在变速运动过程中,由于弹性变形的影响,柔性体与刚体速度响应之间存在明显的相位滞后;特别是在高频变速工况下,丝杠的弹性变形会导致工作台位移量增加,其平均增幅可达1 μm。通过实验验证,仿真结果与实测数据具有良好的一致性。本研究建立的虚拟仿真模型为DDMS的动态特性分析和结构优化提供了有效的理论分析基础。

     

    Abstract: The flexibility of ball screws gives rise to nonlinear deviation between the measured position of the scale and the actual position of the table. To investigate the influence of ball screw on the motion characteristics of the dual-axis differential micro-feed system (DDMS), a rigid-flexible coupled dynamics model of the DDMS was constructed based on the finite element method and virtual simulation technology. The motion characteristics of the DDMS were analyzed. The results demonstrate that the elastic deformation of the screw instigates the velocity fluctuation phenomenon during the initial stage of motion at a uniform speed. During variable-speed motion, the elastic deformation exerts an influence on the velocity response of the flexible body, resulting in a phase lag between it and the rigid body. This effect is particularly pronounced at high frequencies and under variable conditions. The elastic deformation of the screw also leads to an increase in the displacement of the worktable, with an average increase of up to 1 μm. Experimental validation shows that the simulation results exhibit a high degree of consistency with the actual measured data. The virtual simulation model established in this study provides an effective theoretical analysis basis for the dynamic characteristic analysis and structural optimization of the DDMS.

     

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