基于B样条曲面插值误差控制的内超环面齿轮齿面建模  

Stationary Internal Toroidal Gear Tooth Surface Modeling Based on B-spline Surface Interpolation Error Control

作　　者：洪玫[1] 姚立纲[1] 

机构地区：[1]福州大学机械工程学院,福建福州350108

出　　处：《图学学报》2014年第5期715-722,共8页Journal of Graphics

基　　金：国家自然科学基金资助项目(50675035)

摘　　要：针对内超环面齿轮齿面数控加工精度难以保证的问题,提出一种基于B样条曲面插值误差控制的内超环面齿轮齿面建模的方法。该方法以内超环面齿轮理论齿面原型为依据,运用B样条曲面构造插值曲面,计算插值曲面片与理论齿面之间的误差。通过插值误差分析,根据误差分布特点,将型值点网格不断细化,获得一组型值点阵,经插值重构后可得到满足精度要求的内超环面齿轮齿廓模型。最后,通过数控加工验证了建模的有效性。基于B样条曲面插值误差控制的内超环面齿轮齿面建模方法为获得高精度的内超环面齿轮实体模型奠定了理论基础。A method of stationary internal toroidal gear tooth surface modeling based on B-spline surface is put forward in allusion to the difficulty of ensuring numerical control machining accuracy of stationary internal toroidal gear tooth surface.The interpolation curved surface is constructed by B-spline surface based on the theoretic tooth surface of stationary internal toroidal gear and then errors of theoretic tooth surface and interpolation curved surface are calculated.According to error distribution characteristics a set of data points can be obtained by error analysis and mesh refinement.The helical tooth surface model of stationary internal toroidal gear that meets accuracy requirement is obtained by interpolation reconstruction.In the end the validity of the modeling is verified by numerical control machining.This method provides a theoretical basis of acquiring high-accuracy stationary internal toroidal gear model.

关 键 词：超环面行星蜗杆传动 内超环面齿轮 B样条曲面 插值误差 网格细化 

分 类 号：TH132[机械工程—机械制造及自动化]