基于投影法的摆线齿轮齿廓偏差检测及分析
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摘要
摆线齿轮齿廓偏差与其传动平稳性、运动精度等有直接联系。针对目前摆线齿轮检测过程中存在检测效率低、检测样本不足等问题,提出了以影像测量技术为平台的摆线齿轮齿廓偏差检测的一种非接触检测方法。基于光学影像测量系统和Sobel边缘检测算法,得到了被测摆线齿轮全齿廓图像和实际齿廓边缘点坐标;基于摆线齿轮齿廓方程和分割逼近法,得到了沿测量点处法线方向上的理论坐标值,建立了齿廓偏差求解模型,实现了摆线齿轮全部轮齿齿廓偏差的测量,并对引起摆线齿轮齿廓偏差的因素进行了分析,为摆线齿轮齿形设计与制造提供依据。
The tooth profile deviation of cycloidal gears is related to its transmission stability and motion accuracy. Based on image measurement technology,a non-contact detection method for tooth profile deviation detection of cycloidal gear is proposed,in order to solve the problem of low detection efficiency and lack of sample detection in the process of cycloidal gear detection. Based on the optical image measurement system and the Sobel edge detection algorithm,the complete tooth profile image and the actual tooth profile edge point coordinate of the cycloid gear are obtained. Based on the tooth profile equation of cycloid gear and the method of partition approximation,the theoretical coordinate value of the normal direction along the measuring point are obtained,and the tooth profile deviation solving model is established,and the measurement of the tooth profile deviation of the cycloid gear is realized,the factors causing the tooth profile deviation of the cycloid gears are analyzed,the basis for the design and manufacture of the cycloid gears is provided.
The tooth profile deviation of cycloidal gears is related to its transmission stability and motion accuracy. Based on image measurement technology,a non-contact detection method for tooth profile deviation detection of cycloidal gear is proposed,in order to solve the problem of low detection efficiency and lack of sample detection in the process of cycloidal gear detection. Based on the optical image measurement system and the Sobel edge detection algorithm,the complete tooth profile image and the actual tooth profile edge point coordinate of the cycloid gear are obtained. Based on the tooth profile equation of cycloid gear and the method of partition approximation,the theoretical coordinate value of the normal direction along the measuring point are obtained,and the tooth profile deviation solving model is established,and the measurement of the tooth profile deviation of the cycloid gear is realized,the factors causing the tooth profile deviation of the cycloid gears are analyzed,the basis for the design and manufacture of the cycloid gears is provided.
引文
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[12]廖平.基于遗传算法和分割逼近法精确计算复杂曲面轮廓度误差[J].机械工程学报,2010,46(10):1-7.
[2]全国齿轮标准化技术委员会.摆线针轮行星传动摆线齿轮和针轮精度:JB/T 10419—2005[S].北京:机械工业出版社,2005:4-9.
[3]李充宁,孙爽.摆线针轮行星传动的运动平稳性分析[J].机械设计与制造,2000(3):48-49.
[4]丁力华,赵军,周广才.齿轮测量的跟踪控制方法[J].机床与液压,2012,40(20):132-134.
[5]张兆龙,付瑛,尹启然,等.齿形误差的极坐标测量方法研究[J].机械工程学报,2001,37(4):70-72.
[6]师玮骏,陆明刚.摆线轮测量在蔡司三坐标上的开发应用[J].计量与测试技术,2016,43(8):24-26.
[7]李真,庄葆华,吴迈,等.摆线齿轮误差与测量技术[J].机械传动,1997,21(1):38-41.
[8]洪海涛,赵辉.图像技术用于零件尺寸测量的研究[J].仪器仪表学报,2001,22(3):213-214.
[9]吴琦.摆线齿轮减速器[D].北京:北京邮电大学,2010:9-16.
[10]赵鹏.机器视觉理论及应用[M].北京:电子工业出版社,2011:13-14.
[11]黄振峰,程丽丽,卢旺威.基于机器视觉的摆线齿轮参数测量系统[J].机床与液压,2014,42(11):86-89.
[12]廖平.基于遗传算法和分割逼近法精确计算复杂曲面轮廓度误差[J].机械工程学报,2010,46(10):1-7.