展成法加工的弧齿锥齿轮仿切几何建模方法

提出了一种针对展成法加工的弧齿锥齿轮几何建模方法.该方法有两个步骤:(1)通过模仿弧齿锥齿轮加工中的切齿建立参考模型;(2)从参考模型上选择数据点,将这些数据点拟合为NURBS曲面,从而建立最终的实体模型.该方法中,通过模仿切削可以避免深奥的数学理论和复杂的方法,方便地在齿轮制造出来之前(设计阶段)得到复杂齿面上的数据点,并有效提高实体模型的精度.另外,最终得到的模型齿面统一由NURBS曲面函数表示,NURBS曲面连续和光滑,可为CAD/CAE广泛使用.实验表明,通过该方法能够精确建立一对弧齿锥齿轮模型,为CAD/CAE建模提供了一种可行有效的思路.

GEOMETRIC MODELING OF GENERATING-MANUFACTURED SPIRAL BEVEL GEARS BASED ON CUTTING SIMULATION

A geometric modeling method for generating-manufactured spiral bevel gears(SBGs) is proposed.It consists of two steps:(1) creating a reference model by simulating the process of cutting spiral bevel gear,(2) reconstructing the final solid model by collecting data points from the reference model and fitting these points into NURBS surfaces.In this method,cutting simulation avoids abstruse mathematical theories and complex methods,thus making it convenient to obtain data points on the complex tooth surface before the gear is manufactured and efficient to increase the accuracy of the solid model.Also,the representations of tooth surfaces of the final model is unified as a NURBS surface function.The NURBS surface is continuous and smooth,thus it is available for wide applications in CAD/CAE.The experiment proves that the method can be used to establish an accurate pair of SBG models,thus providing a feasible and effective way for CAD/CAE modeling.