一种基于几何误差分布概率的丝杠螺母副温度场分布获取方法

By constructing a model relating geometric error to contact angle and using the finite difference method, the problem that existing technologies cannot reflect the randomness of geometric error in the modeling of the temperature field of lead screw and nut pairs is solved, and a higher-precision solution for the temperature field distribution is achieved.

CN117113747BActive Publication Date: 2026-07-17NANJING UNIV OF AERONAUTICS & ASTRONAUTICS

Patent Information

Authority / Receiving Office
CN · China
Patent Type
Patents(China)
Current Assignee / Owner
NANJING UNIV OF AERONAUTICS & ASTRONAUTICS
Filing Date
2023-07-24
Publication Date
2026-07-17

AI Technical Summary

Technical Problem

Existing methods for modeling the temperature field of lead screw and nut pairs cannot accurately reflect the contact state between the balls and raceways, and they ignore the randomness of geometric errors, resulting in low model prediction accuracy.

Method used

By establishing a model relating geometric error to contact angle, the probability density function of geometric error of the ball and raceway is constructed. Combining the relationship between contact force and contact heat source, the temperature field distribution is solved using the finite difference method, thus reflecting the randomness of geometric error.

Benefits of technology

It improves the accuracy of temperature field modeling for lead screw and nut pairs, accurately reflects the differences in contact states, and provides higher accuracy in temperature field distribution.

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Abstract

一种基于几何误差分布概率的丝杠螺母副温度场分布获取方法,其特征是首先建立几何误差与接触角之间的定量关系,其次在承受轴向载荷时确定不同耦合几何误差的滚珠‑滚道组合所产生的接触力,然后在几何误差统计数据的基础上构造滚珠和滚道联合误差分布的概率密度函数,之后联系误差概率分布和热源强度分布之间的关系,最后通过有限差分法求解对应温度场。本发明为丝杠螺母副温度场建模提供了一种新方法,体现了几何误差对滚珠和滚道接触热源的影响,有效解决了螺母副运动过程中随机几何误差诱导温度场预测不符合实际情况等问题。
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