基于最小二乘法的Bertrand齿廓面测量点回归  

Regression of Measured Points of Bertrand Tooth Surface Based on Least Square Method

作　　者：吴宏基[1] 刘胜利[1] 刘健[1] 

机构地区：[1]大连理工大学,大连116024

出　　处：《中国机械工程》2005年第8期728-730,共3页China Mechanical Engineering

基　　金：国家自然科学基金资助项目(50275017)

摘　　要：基于最小二乘法并结合微分几何理论,针对斜航式法向圆弧锥齿轮的特点,提出了一种适合Bertrand齿廓面检测时测量点的回归法。导出了被测齿廓与设计齿廓的联系,建立了Bertrand齿廓面的回归处理模型。仿真结果表明,该模型具有理论的正确性与实际可行性。A new measured points regressive method, which adapts to measure the Bertrand surface, was presented. It is based on the least square method and the characteristics of loxodrome normal circular arc spiral bevel gear and combined with the theory of differential geometry. The paper derives relations of the measured tooth profile and that of the design. A mathematical model was established for the Bertrand tooth surface regression. By simulation, it proves that the models are right and practical.

关 键 词：最小二乘法 三坐标测量机 Bertrand齿廓面 斜航式法向圆弧锥齿轮 

分 类 号：TH132[机械工程—机械制造及自动化]