视觉测量齿轮定位偏心对齿距测量精度的影响
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TH161 TP391

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Influence of gear location eccentricity in visual measurement on gear measurement accuracy
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    摘要:

    为了提高中小模数直齿圆柱齿轮视觉测量仪齿距测量精度,分析了在视觉坐标系内齿轮基圆定位偏心对齿距测量误差的影响规律。通过理论分析和仿真计算得出基圆定位偏心导致齿廓初始相位角误差的正弦曲线模型,进而研究了基圆定位偏心对齿距测量误差的影响。根据视觉测量仪相对法测量齿距原理,推导出齿距测量误差增量公式,并在齿轮视觉测量仪上对实际齿轮进行了测量实验。实验结果表明,提出的基圆定位偏心所导致的齿距测量误差增量模型具有较高的计算精度,可以用于齿轮视觉测量仪器研发时的精度分析;当偏心量e≤40 μm,定位误差Δψj≤1°时,可以满足5级精度齿轮的测量要求;对于齿数z≥45的齿轮,可以采用双齿距测量方法来提高视觉测量效率,能够满足5级精度齿轮的测量要求。

    Abstract:

    In order to improve the tooth pitch measurement accuracy of the visual measurement instrument for medium and small module straighttooth cylindrical gear, the influence law of the gear base circle positioning eccentricity on the tooth pitch measurement error in the visual coordinate system was analyzed. Through theoretical analysis and simulation calculation, the sinusoidal curve model of tooth profile initial phase angle error caused by base circle positioning eccentricity was obtained. Furthermore, the influence law of base circle positioning eccentricity on tooth pitch measurement error was studied. Based on the tooth pitch measurement principle of the relative method of visual measurement instrument, the increment formula of tooth pitch measurement error was deduced, and the actual gear measurement experiment was carried out using gear visual measurement instrument. The experiment results show that for the increment model of the tooth pitch measurement error caused by base circle positioning eccentricity has high calculation accuracy, which can be used in the accuracy analysis during the research and development of gear visual measurement instrument. it is also found that when the eccentricity e≤40 μm and the positioning error Δψj>1°, the model can meet the measurement requirement of the gears with the accuracy of class5; and when the number of gear teeth z≥45, the double tooth pitch measurement method can be adopted to improve the visual measurement efficiency, which can meet the requirement of the gears with the accuracy of class5.

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支珊,赵文珍,段振云,赵文辉,孙禾.视觉测量齿轮定位偏心对齿距测量精度的影响[J].仪器仪表学报,2019,40(2):205-212

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  • 在线发布日期: 2022-01-13
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