附件传动点啮合齿轮齿面方程构建及三维建模方法研究

Research on the Construction of Tooth Equation and Three-Dimensional Modeling Method for Attachment Drive Point Meshing Gears

摘要: 通过对砂轮磨削原理进行分析，将传动点啮合齿轮齿面的建模分为四大部分：标准直齿轮轮廓定义、砂轮截形定义、砂轮运动轨迹定义以及最后建立点啮合齿面模型。在对砂轮截形和砂轮运动轨迹设计时，采用样条曲线的方法，将设计的标准齿廓按照一定偏移量进行偏移，该偏移符合样条曲线偏移函数。并且，本研究通过自主编写仿真软件，使得直齿轮建模更加快速。通过对传动点啮合齿轮齿面方程的构建及建模方法的研究表明将样条曲线运用于砂轮截形、砂轮运动轨迹的设计，使得砂轮加工的直齿轮满足要求，并且自主仿真软件的应用使得直齿轮三维模型的建立更快速，即可以提高直齿轮加工的效率。

Abstract: By analyzing the principle of grinding wheel, the modeling of transmission point meshing gear tooth surface is divided into four major parts: the definition of standard spur gear profile, the definition of grinding wheel cut-off shape, the definition of grinding wheel movement trajectory, and finally the establishment of point meshing tooth surface model. In the design of the grinding wheel cross-section and grinding wheel trajectory, the method of spline curve is adopted, and the designed standard tooth profile is offset according to a certain amount of offset, which conforms to the offset function of the spline curve. Moreover, this study makes spur gear modeling faster by writing simulation software independently. The study on the construction of gear equations and modeling methods for transmission point meshing gears shows that applying the spline curve to the design of grinding wheel truncation and grinding wheel trajectory makes the spur gears processed by the grinding wheel meet the requirements, and the application of independent simulation software makes the establishment of three-dimensional model of spur gears faster; that is to say, it can improve the efficiency of the processing of spur gears.