变载荷下Klingelnberg锥齿轮接触迹线规律

摘要

基于克林根贝尔格锥齿轮齿面加工原理,建立齿面方程,用拟Newton法在MATLAB中进行齿面方程离散,构建克林根贝尔格锥齿轮的几何模型;基于变载荷接触有限元分析原理,应用Abaqus仿真克林根贝尔格锥齿轮在变载荷情况下的轮齿啮合状态,并研究其接触迹线变化,给出载荷变化与轮齿接触迹线变化之间的关系;根据克林根贝尔格锥齿轮高重合度,提取3对啮合轮齿模型,研究其在轻载、中载、重载下接触迹线变化情况.结果表明:随着载荷的增大接触椭圆的面积逐渐增大,且接触椭圆的形状、倾斜方向、位置也随载荷的增大而发生变化;接触迹线移动方向由水平方向逐渐变为沿对角方向,根据受力后接触面移动规律,可预先将接触区调在小端,这样可提高齿轮的承载能力.%Based on the Klingelnberg spiral bevel gear tooth surface processing principle,this paper established tooth surface equation.We used quasi-Newton method to establish the discrete tooth surface equations in MATLAB and then built the geometry model of Klingelnberg spiral bevel gear.Based upon the variable load contact finite element analysis theory,this paper researched three aspects.The first one was Klingelnberg spiral bevel gear meshing state in the variable load.The second one was the changes of contact path.The third one was required the relationship between the variable load and tooth contact path.According to the Klingelnberg spiral bevel gear high contact ratio and extracting three models of meshing tooth.We sought the contact trace changes in the light load,medium load,heavy load.The results shows that as the load increases the area of contact ellipse shape is gradully increasing and tilt direction,the location is subsequently changed.Contact path direction from horizontal direction gradually along the diagonal direction.According to the laws of the bearing contact area move.We can advance will contact area on the small side,so that to improve the bearing capacity of the gear.