面齿轮数字化真实齿面接触分析与实验

Meshing Simulation and Experiment on Digitized Tooth Surface of Face Gear

为了研究面齿轮数字化真实齿面啮合接触特性,基于计算机数控机床齿轮测量技术,提出通过非均匀有理B样条曲线(Non-Uniform Rational B-Splines,NURBS)曲面拟合重构面齿轮数字化真实齿面以分析接触特性的方法.建立了NURBS曲线曲面的数学模型,进行了具有齿面偏差的面齿轮数字化真实齿面重构方法的研究.基于空间齿轮啮合理论,对数字化齿面进行啮合接触仿真分析,得到了真实齿面的接触迹线和齿轮副的传动误差.通过面齿轮齿面偏差测量和面齿轮传动滚检实验,验证了齿面重构方法、数字化真实齿面啮合算法的正确性.结果表明:重构的数字化真实齿面具有较高的精度,绝对误差均不大于0.1μm.得到了含制造误差的面齿轮传动啮合印痕和传动误差.啮合仿真真实齿面接触区域的形状和位置与滚检结果相一致.

In order to study the meshing characteristics of the digital tooth surface of face gear,a method of fitting and reconstructing numerical tooth surface of face gear to analyze the contact characteristics by non-uniform rational B-spline(NURBS)is proposed based on computerized numerical control gear measurement technology.Mathematical model of NURBS cave and surface is established,and the research about the method of reconstructing digital tooth surface of face gear with tooth surface deviation is carried out.Based on the space gear meshing theory,digital tooth surface meshing contact is simulated and analyzed,contact trace of the real tooth surface and transmission error of gear pair are obtained.To validate the correctness of tooth surface reconstruction method and the digital tooth surface meshing algorithm,the measurement of tooth surface deviation of face gear and the troll test of face gear drive are carried out.The results show:The reconstructed digital tooth surface has high precision.The absolute error of the reconstructed digital tooth surface is less than 0.1μm.The meshing mark and transmission error of the face gear drive with manufacturing error are obtained.The shape and position of digital tooth contact area are consistent with the rolling test results.