基于最佳逼近原理的摆线轮实际修形量计算  

CALCULATION OF ACTUAL MODIFICATION OF CYCLOIDAL GEAR BASED ON OPTIMAL APPROXIMATION PRINCIPLE

作　　者：周静远 李天兴[1] 苏建新[1] 王斌[1] 张瑞瑶 ZHOU JingYuan;LI TianXing;SU JianXin;WANG Bin;ZHANG RuiYao(School of Mechatronics Engineering,Henan University of Science&Technology,Luoyang 471003,China)

机构地区：[1]河南科技大学机电工程学院,洛阳471003

出　　处：《机械强度》2023年第6期1504-1508,共5页Journal of Mechanical Strength

基　　金：河南省科技攻关项目(202102210079);河南省高等学校重点科研项目(20A460010);河南科技大学研究生创新基金项目(CXJJ2021CY07)资助。

摘　　要：摆线轮修形量大小是影响加工误差评价的重要因素。针对组合修形方法设计加工的摆线轮,在修形量未知的情况下,提出了一种反求实际修形量的方法。通过分析摆线轮齿廓组合修形方法,以法向误差平方和为目标,构建最佳逼近齿廓计算模型,利用修正鲍威尔法求解模型,获取摆线轮实际修形量。通过对实际加工摆线轮的齿廓测量计算,验证了此方法的可行性,为修形量未知情况下的摆线轮误差评价提供了新的途径。The amount of cycloidal gear modification is an important factor affecting the evaluation of machining error.At present,a method is proposed to invert the actual modification for a cycloid gear designed by using a composite modification method,where the modification is unknown.By analyzing the composite profiling method for cycloidal gear,the best approximation modification calculation model is constructed with the sum of squared normal errors as the target.And this model is solved by using the modified Powell method to obtain the actual modification parameters of the cycloidal gear.The feasibility of this method is verified by measuring the tooth profile of the actual machined cycloidal gear,providing a new way to evaluate the error of cycloidal gear in the case of unknown modification parameters.

关 键 词：摆线轮 齿廓检测 组合修形 加工误差 实际修形量 

分 类 号：TH122[机械工程—机械设计及理论]