非对称变位斜齿轮参数化建模和接触应力分析

Parametric Modeling and Contact Stress Analysis of Asymmetric Modified Helical Gears

为构建非对称渐开线变位斜齿轮精确模型并分析压力角对其接触应力的影响,根据齿轮啮合原理以及C#对SolidWorks二次开发,建立了从齿条刀具展成非对称渐开线变位斜齿轮的数学模型以及精确的实体模型;同时,采用有限元法分析其齿面接触应力,并与传统公式法计算的对称变位斜齿轮齿面接触应力进行了比较。研究表明,当一侧齿面压力角相同时,非对称变位斜齿轮一侧齿面接触应力与对称变位斜齿轮十分接近,接触应力随压力角变化的增减趋势基本一致,说明了非工作侧齿面压力角的变化对工作侧齿面接触应力的影响并不明显。因此,用来计算对称变位斜齿轮齿面接触应力的传统公式法同样可以近似计算非对称变位斜齿轮的齿面接触应力。该方法可为非对称渐开线变位斜齿轮的设计提供参考。

In order to construct an accurate model of asymmetric involute modified helical gears and analyze the influence of pressure angles on its contact stress,based on the gear meshing principle and the secondary development of SolidWorks in C#,a mathematical model and an accurate physical model for developing an asymmetric involute modified helical gear from a rack tool are established.At the same time,the finite element method is used to analyze the tooth surface contact stress,and it is compared with the tooth surface contact stress of the symmetrical modified helical gear calculated by the traditional formula method.The study shows that when the pressure angle on one side of the tooth surface is the same,the tooth surface contact stress of the asymmetric involute modified helical gear is very close to that of the symmetric modified helical gear,and the increase and decrease trends of contact stress with changes in the pressure angle are basically the same.It shows that the change of the non-working side tooth surface pressure angle has no obvious influence on the working side tooth surface contact stress.Therefore,the traditional formula method used to calculate the tooth surface contact stress of symmetrical modified helical gears can be used to approximate the tooth surface contact stress of asymmetric involute modified helical gears.This method provides reference for the design of asymmetric involute modified helical gears.