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考虑加工误差的行星滚柱丝杠啮合分析OA

Meshing analysis of planetary roller screws mechanisms considering manufacturing errors

中文摘要英文摘要

针对加工误差影响行星滚柱丝杠(planetary roller screw mechanisms,PRSM)啮合性能的问题,本文在建立标准PRSM啮合模型的基础上,引入螺距、牙型角、中径、分头、齿轮相位及螺纹偏心六类误差,构建了多误差啮合分析模型.通过理论推导与数值计算,分析了各误差对丝杠-滚柱与螺母-滚柱啮合半径、啮合偏角及轴向间隙的影响规律.结果表明:结构类误差(螺距、牙型角、中径误差)显著改变啮合位置与间隙,易导致过盈;分头误差等效于牙侧角偏移,引起啮合点轴向与径向移动,进而显著改变啮合半径、偏角及轴向间隙;齿轮相位误差主要影响啮合偏角,对轴向间隙影响微弱;螺纹偏心误差通过改变中心距引起啮合点移动.本研究为PRSM的精度设计与误差分配提供了理论依据.

The impact of various manufacturing errors on the meshing performance of planetary roller screw mechanisms(PRSM)is investigated systematically.Based on the standard PRSM meshing model,an analytical model incorporating six types of manufacturing errors—pitch error,flank angle error,pitch diameter error,thread indexing error,gear phase error,and thread eccentricity error—is established.Theoretical derivations and numerical calculations are used to analyze how these errors affect the meshing radius,meshing angle,and axial clearance of screw-roller and nut-roller pairs.The results demonstrate that thread geometry errors(e.g.,pitch,flank angle,and pitch diameter)significantly alter the meshing position and clearance,potentially leading to interference.Furthermore,the thread indexing error,which is equivalent to a flank angle deviation,markedly affects the meshing characteristics,including the meshing radius and axial clearance.The gear phase error primarily affects the meshing angle,with minimal impact on axial.Additionally,thread eccentricity errors induce a displacement of the meshing point by altering the center distance.This research provides a theoretical foundation for the precision design and tolerance allocation of PRSMs.

李俊阳;青宏;宋延奎;吴文镜;庹瑶瑶;魏峰

重庆大学 高端装备机械传动全国重点实验室,重庆 400044重庆大学 高端装备机械传动全国重点实验室,重庆 400044中国科学院 重庆绿色智能技术研究院,重庆 400714美的集团 高端重载机器人全国重点实验室,广东 佛山 528300重庆大学 高端装备机械传动全国重点实验室,重庆 400044重庆大学 高端装备机械传动全国重点实验室,重庆 400044

机械制造

行星滚柱丝杠加工误差误差建模啮合分析

planetary roller screw mechanismsmanufacturing errorerror modelingmeshing analysis

《湖南大学学报(自然科学版)》 2026 (8)

14-28,15

国家自然科学基金资助项目(52375041),National Natural Science Foundation of China(52375041)美的蓝橙实验室开放课题(HHR2024010213),Blue Orange Lab Open Project(HHR2024010213)

10.16339/j.cnki.hdxbzkb.2026184

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