圆弧齿线圆柱齿轮齿面设计与有限元分析

Tooth Surface Design and Finite Element Analysis of Circular-arc Tooth Curvilinear Cylindrical Gear

以弧线圆柱齿轮的啮合原理为基础,研究了圆弧齿线圆柱齿轮副的切削理论和相应设计方法,分析了圆弧齿线圆柱齿轮的齿面成形原理。采用了双面刀盘展成法,将刀盘旋转而成的切削锥面作为假想齿轮的齿面,模拟圆弧齿线圆柱齿轮的啮合过程,推导圆弧齿线圆柱齿轮的齿面方程,对圆弧齿线圆柱齿轮齿面进行数值仿真并实现了可视化。生成有限元网格模型,并导入到ABAQUS软件中进行有限元分析,将有限元分析结果与Hertz接触理论进行对比分析,结果表明,所建有限元模型合理。将分析结果与同尺寸圆柱齿轮结果进行对比,结果表明,圆弧齿线圆柱齿轮的接触强度较直齿圆柱齿轮有所改善。此外,通过对刀盘半径的三组尺寸算例进行比较分析,得到了刀盘半径尺寸与应力大小的关系。

On the basis of the meshing theory of circular-arc tooth curvilinear cylinder gear,the corresponding design method and cutting theory are studied,and the tooth surface forming principle is analyzed.By using a double-sided cutter generating method and taking the cutting cone tooth surface which formed by cutter blade rotating as the imaginary tooth surface,the meshing process of the circular-arc tooth curvilinear cylindrical gear is simulated,the tooth surface equation is derived,the tooth surface numerical simulation is carried out and the visualization is realized.Then,the finite element mesh model is imported into ABAQUS software to carry out the finite element analysis,the contrastive analysis between the finite element analysis result and Hertz contact theory is carried out,and the result shows that built finite element model is reasonable.Through the comparison between the analysis results and the cylindrical gear with the same size,the result shows that the contact strength of circular-arc tooth curvilinear cylindrical gear is better than spur involute cylindrical gear.Beside,through the comparison analysis of the three groups size calculation examples of cutter radius,the relation between the cutter radius size and stress size is obtained.