基于双面啮合检测的非圆齿轮节曲线误差研究

Research on Errors of Pitch Curve of Noncircular Gear Based on Double-flank Gear Meshing Test

基于向量理论提出了一种反求非圆齿轮节曲线的数学模型,该模型简便易算,适应性强。基于双面啮合检测原理,以标准圆柱齿轮作为测量齿轮,对非圆齿轮的节曲线径向综合误差进行了定量研究,并开发了双面啮合检测装置和自动检测系统。此外,在Solid Works中建立了双面啮合检测装置的三维模型,导入ADAMS中进行了其运动学仿真和分析,并完成了双面啮合仪的实物制作。最后,以加工好的三阶非圆齿轮为例,在双面啮合仪上成功完成了其节曲线径向综合误差检测实验,实验结果证明了所建立的数学模型的正确性及节曲线径向综合误差检测的可行性。

In order to conduct equations of pitch curves of noncircular gears,a mathematical model was put forward based on the vector theories.And this mathematical model is easier to be solved and can be used in different types of noncircular gears.By utilizing theories of double-flank gear meshing test,researches on radial composite errors of pitch curves for noncircular gear were carried out quantitatively.A standard cylindrical gear was chosen as the basic measuring component.And the installation of doubleflank gear meshing test was designed.Meanwhile,a virtual prototype of the double-flank gear meshing device was built in SolidWorks and its kinematic characteristics were examined in ADAMS.Moreover,a physical prototype of the double-flank gear meshing device was built according to the virtual prototype. Finally,the radial composite errors of pitch curve of three-orders elliptic gear were measured in this double-flank gear meshing device.The experimental results show that previous mathematical models and the methods used in measurement of the errors are proved to be correct.