小螺距滚柱牙型非接触式检测与偏差评价方法
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国家重点研发计划资助项目(2020YFB2008200)。


Non-contact detection and deviation evaluation method of small pitch roller profile
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    摘要:

    行星滚柱丝杠副(planetary roller screw mechanism,PRSM)是旋转运动与直线运动相互转化的新型重载精密传动装置,螺纹牙型加工质量直接决定其传动精度和承载性能。针对小螺距PRSM滚柱牙型非完整短圆弧检测评价的难题,利用高精度三坐标测量机对滚柱轴向截面牙型非接触式检测,提出了基于非线性内点算法的滚柱牙型曲线拟合方法,验证了滚柱牙型曲线的拟合精度;建立了滚柱螺纹牙型偏差评价模型和偏差评价方法,绘制了基于本偏差模型的牙型偏差评价图,分析并总结了滚柱牙型偏差分布规律。提出的小螺距PRSM滚柱牙型检测评价方法,拟合残差平方和达到1.5×10-4数级,牙型半径拟合精度控制在6 μm,牙型圆心z0坐标拟合精度控制在9.8 μm,能够定量评判滚柱牙型形状精度和位置精度,在工程实际中具有可行性。

    Abstract:

    Planetary Roller Screw Mechanism (PRSM) is a new type of heavy duty precision transmission device, which can realize the transformation from rotating motion to linear motion and vise versa. The machining quality of the thread tooth directly determines its transmission accuracy and load-bearing performance. To address the problem of non-complete short arc detection and evaluation of PRSM roller tooth profile with small pitch, a roller tooth profile curve fitting method based on nonlinear interior point algorithm was proposed by using high-precision CMM for non-contact detection of roller axial section tooth profile, and the fitting accuracy of roller tooth profile curve was verified. The evaluation model and evaluation method of roller thread tooth profile deviation were established for the first time. The evaluation chart of roller tooth profile deviation based on the model was drawn, and the distribution of roller tooth profile deviation was analyzed and summarized. The proposed PRSM roller tooth profile detection and evaluation method with small pitch had a fitting accuracy of 1.5×10-4. The fitting accuracy of tooth profile radius and tooth profile center z0 coordinate could be controlled at 6 μm and 9.8 μm, respectively. It can quantitatively evaluate the shape accuracy and position accuracy of roller tooth profile, and has practical feasibility in engineering practice.

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徐洪伟,魏沛堂,周鹏亮,杜雪松.小螺距滚柱牙型非接触式检测与偏差评价方法[J].重庆大学学报,2023,46(3):45-57.

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  • 收稿日期:2021-12-23
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  • 在线发布日期: 2023-03-28
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