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 reach 0.033mm when the radius of the large gear is 2000mm and the radius difference is 400mm,which can be applied to the measurement of the large gear center.
作者
段振云
孟森森
赵文珍
赵文辉
DUAN Zhen-yun;MENG Sen-sen;ZHAO Wen-zhen;ZHAO Wen-hui(School of Mechanical Engineering,Shenyang University of Technology,Shenyang 110870,China)
出处
《组合机床与自动化加工技术》
北大核心
2019年第1期105-107,111,共4页
Modular Machine Tool & Automatic Manufacturing Technique
基金
十二五国家科技支撑计划(2014BAF08B01)
关键词
大齿轮
机械装备
最小二乘法
large gears
mechanical equipment
least-square method
