基于平面共轭对数的弧齿锥齿轮齿面设计研究
Research on Tooth Surface Design of Spiral Bevel Gear Based on Plane Conjugate Logarithm
付雁博 1田国富1
作者信息
- 1. 沈阳工业大学机械工程学院,沈阳 110870
- 折叠
摘要
为了提高弧齿锥齿轮建模模拟在承载工作的情况下所得出数据的准确性,在球面渐开线弧齿锥齿轮齿面成形设计原理的基础上,引入平面共轭对数对球面渐开线弧齿锥齿轮齿面形成理论进行进一步的研究与改进,建立与法向截面圆弧齿形点位相接触的弧齿锥齿轮数学模型,并利用修改后的齿面设计理论进行弧齿锥齿轮工作齿面、齿顶根曲线及齿根过渡曲面的齿面精确数学建模,使大小轮之间的共轭曲面啮合精度得到提升,从而提高弧齿锥齿轮在循环啮合过程当中的接触强度与稳定性,并对原先球面渐开线理论中所具有的对弧齿锥齿轮传动时的轴角可分性进行分析,进行存在轴角误差时对该设计下齿轮的传动误差的影响.
Abstract
In order to improve the accuracy of the data obtained in the modeling and simulation of spiral bevel gear under load,on the basis of the design principle of the tooth surface forming of spherical involute spiral bevel gear,the plane conjugate logarithm is introduced to further study and improve the tooth surface forming theory of spherical involute spiral bevel gear.The mathematical model of spiral bevel gear which is in contact with the normal section arc tooth shape point is established,and the precise mathematical model-ing of the working tooth surface,tooth tip curve and tooth root transition surface of spiral bevel gear is car-ried out by using the modified tooth surface design theory,so as to improve the meshing accuracy of conju-gate surfaces between the two wheels.In order to improve the contact strength and stability of spiral bevel gear in the process of circular meshing,and the original spherical involute theory of the shaft Angle of spiral bevel gear transmission is analyzed,and the influence of shaft Angle error on the transmission error of this design is carried out.
关键词
弧齿锥齿轮:球面渐开线:齿面成形/共轭曲线/平面对数Key words
spiral bevel gear/spherical involute/tooth surface forming/conjugate curve/logarithm of plane引用本文复制引用
基金项目
辽宁省教育厅科技攻关项目(LGFD2020006)
出版年
2024
NETL
NSTL
维普
万方数据