基于半径差约束最小二乘拟合的大齿轮中心测量
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摘要
大齿轮是机械装备中的重要零部件。文章以大齿轮为研究对象,提出基于最小二乘法原理的一种半径差约束最小二乘圆拟合方法。该方法先计算出大齿轮上一贴片点的半径,再利用半径约束的最小二乘圆拟合法计算出大齿轮的中心。通过理论、仿真以及实验分析,验证了该方法的可行性。该方法在大齿轮半径为2000mm,半径差为400mm时,测量精度能够达到0.033mm,可用于大齿轮中心的测量。
Large gear is an important part in mechanical equipment.This paper takes large gear as the research object.A method of least square circle fitting is proposed based on the principle of least square method.This paper presents the radius difference constraint least-square circle fitting method in the study.Firstly calculates the radius of a patch point on the large gear,then the center of the large gear is fitted with the radius constraint least-square circle fitting method.The feasibility of this method is verified through theoretical analysis,simulation analysis and experimental verification.The measurement accuracy can reach0.033 mm when the radius of the large gear is 2000 mm and the radius difference is 400 mm,which can be applied to the measurement of the large gear center.
Large gear is an important part in mechanical equipment.This paper takes large gear as the research object.A method of least square circle fitting is proposed based on the principle of least square method.This paper presents the radius difference constraint least-square circle fitting method in the study.Firstly calculates the radius of a patch point on the large gear,then the center of the large gear is fitted with the radius constraint least-square circle fitting method.The feasibility of this method is verified through theoretical analysis,simulation analysis and experimental verification.The measurement accuracy can reach0.033 mm when the radius of the large gear is 2000 mm and the radius difference is 400 mm,which can be applied to the measurement of the large gear center.
引文
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[6]段振云,董迪,赵文辉.视觉测量系统结构设计与光照强度分析[J].组合机床与自动化加工技术,2016(8):61-63.
[7]王宁,段振云,赵文辉,等.齿轮齿廓总偏差视觉测量方法研究[J].机械传动,2017,41(11):28-32.
[2]石照耀,费业泰,谢华锟.齿轮测量技术100年——回顾与展望[J].中国工程科学,2003,5(9):13-17.
[3]Gochg,Knappw,Haertigf.Precision engineering for wind energy systems[J].CIRP Annals-Manufacturing Technology,2012,61(2):611-634.
[4]林虎,Frank Hrtig,Karin Kniel,等.基于便携式坐标测量机的大齿轮测量方法[J].光学精密工程,2013,21(7):1763-1770.
[5]金嘉琦,赵丰慧.大型齿轮在机测量技术的发展研究[J].机械设计与制造,2010(12):264-266.
[6]段振云,董迪,赵文辉.视觉测量系统结构设计与光照强度分析[J].组合机床与自动化加工技术,2016(8):61-63.
[7]王宁,段振云,赵文辉,等.齿轮齿廓总偏差视觉测量方法研究[J].机械传动,2017,41(11):28-32.