滚珠丝杠进给系统弹性变形预测方法

Elastic deformation prediction method for ball screw feed system

  • 摘要: 依据滚珠丝杠进给系统的实际布局形式,建立了包含系统惯性力和摩擦扰动综合作用下的进给系统弹性变形计算架构。以进给系统等效2-DOF模型为基础,结合Bouc-Wen迟滞形态函数,构建了进给系统预滑移非线性迟滞与滑移线性特征共存的摩擦扰动混合形态表征模型,明晰了不同移动参数或轨迹下电机-丝杠端和丝母-工作台端摩擦扰动的输出变化特征及其边界。以此为基础,通过理论计算与实验结果的对比,探明了综合考虑惯性力及摩擦扰动作用下滚珠丝杠进给系统弹性变形与移动速度、加速度及轨迹形式之间的关联关系,验证了文章所提出的Bouc-Wen混合形态摩擦模型对提升进给系统弹性变形预测精度的有效性,这将为实现高速精密机床滚珠丝杠进给系统弹性变形的精准抑制提供新的解决途径。

     

    Abstract: Based on the actual layout of a ball screw feed system, an elastic deformation computation framework is proposed to account for the combined effects of system inertia and friction disturbances. Using an equivalent 2-DOF model of the feed system as a foundation, a hybrid friction disturbance model is developed by incorporating the Bouc-Wen hysteresis form function. This model effectively captures the coexistence of pre-sliding nonlinear hysteresis and sliding linear characteristics. The output characteristics and boundaries of friction disturbances at both the motor-screw interface and the nut-table interface are analyzed under varying motion parameters and trajectories. Subsequently, the relationship between the elastic deformation of the ball screw feed system and motion velocity, acceleration, and trajectory form is investigated by comparing theoretical predictions with experimental results. The findings validate the effectiveness of the proposed Bouc-Wen hybrid friction model in improving the prediction accuracy of elastic deformation in feed systems. These results offer a novel approach for the precise suppression of elastic deformation in high-speed precision machine tool ball screw feed systems.

     

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