Research on modeling method of ball screw contact stiffness considering nonuniform load distribution
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摘要: 以双螺母垫片预紧式滚珠丝杠为研究对象，建立了可考虑非均匀载荷分布的双螺母垫片预紧式滚珠丝杠静接触刚度模型，并通过实验验证了模型的有效性。建立的模型可基于丝杠或螺母滚道为分析对象，着重分析了不同轴向载荷作用方向和大小对所有相位角处滚珠与滚道间接触角和法向接触力不均匀性的影响，以及接触角和法向接触力的分布不均匀性对轴向静接触刚度的影响，并获得以下结论：主要受接触角分布不均匀性的影响，以丝杠滚道为分析对象、轴向载荷负向时的轴向静接触刚度值较大；主要受法向接触力分布不均匀性的影响，随着轴向载荷的增大，不考虑载荷非均匀性模型获得的轴向静接触刚度值会逐渐偏离考虑载荷非均匀性模型获得的轴向静接触刚度值。Abstract: Taking the double-nut washer pre-tightened ball screw as the research object, a static contact stiffness model of the double-nut washer pre-tightened ball screw that can consider the non-uniform load distribution is established, and the validity of the model is verified by experiments. The established model can be based on the screw or nut raceway as the analysis object, focusing on the impact of different axial load directions and magnitudes on the contact angle and normal contact force unevenness between the ball and the raceway at all phase angles, and the contact Influence of uneven distribution of angular and normal contact force on static stiffness of axial contact, and the following conclusions are obtained: mainly affected by the uneven distribution of the contact angle, the static stiffness of the axial contact when the screw raceway is used as the analysis object and the axial load is negative; it is mainly affected by the uneven distribution of the normal contact force As the axial load increases, the static axial contact stiffness value obtained without considering the load non-uniformity model will gradually deviate from the axial contact static stiffness value obtained by the load non-uniformity model.
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表 1 FFZD3206-5型双螺母垫片预紧型滚珠丝杠主要参数
参数 值 丝杠节圆直径 $ {d_0} $/mm 32 导程 $ P $/mm 6 滚珠直径 $ {D_w} $/mm 3.969 滚道的曲率比 $ {f_S} $, $ {f_N} $/mm 0.54 单个螺母的滚珠数 $ Z $ 62 单个螺母的圈数 $ n $ 2.5 预紧载荷/N 1 665 
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