滚珠丝杠副刚度的影响因素及其试验研究

为了提高滚珠丝杠副静态和动态分析的精度，利用滚珠丝杠副中丝杠滚道的力和力矩平衡方程，并考虑变化的接触角和接触变形的影响，建立了联合载荷作用下精确的滚珠丝杠副刚度的数学模型，利用模型分析了滚珠丝杠副刚度的影响因素和规律，结果发现：滚珠丝杠副的刚度随轴向和径向载荷的增大，随之变大，而随倾覆力矩的增加，随之减小；增大导程和减小滚道曲率比可提高滚珠丝杠副的刚度；轴向刚度随轴向载荷、导程和滚道曲率比的改变所受影响最大，角刚度主要受径向载荷和倾覆力矩的影响，径向刚度受载荷和结构参数的影响都较小。通过与滚珠丝杠副轴向静刚度测试平台上测量的结果比较表明，建立的模型是合理和可靠的。

Factors and experimental research of the stiffness of a ball screw

Being capable of improving the static and dynamic analysis of ball screws accurately. Based on the equilibrium of the forces and moments acting on the ball and screw race, and take into account the influence of variable contact angle and delfection, a precision mathematical model of stiffness matrix was established. Combined a ball screw as an example, the influences on its stiffness acted by the working conditions and structure parameters are anslyzed. The result shows that stiffness of the ball screw increases with the increase of axial and radial load, while decreases as the overturning moment increases.Besides, stiffness can aslo be determined according to the value of lead and ratio of raceways. Higher lead and lower ratio of raceways can improve the stiffness of the ball screw. Axial load、lead and ratio of the raceways play an important role in axial stiffness, radial load and overturning moment affect the angle stiffness heavily. The present numerical simulations are compared with the experiment. The comparisons illustrate that the present method is reasonable and reliable.