螺旋非圆锥齿轮齿面设计及运动仿真研究  

Research of the Tooth Flank Design and Movement Simulation of Spiral Noncircular Bevel Gear

作　　者：许爱芬 贾巨民 陈雨青 

机构地区：[1]陆军军事交通学院军事物流系,天津300161 [2]41军工兵力,湖南衡阳421000

出　　处：《机械传动》2017年第8期128-132,共5页Journal of Mechanical Transmission

基　　金：天津市应用基础与前沿技术研究计划(12JCZDJC34600)

摘　　要：应用微分几何的曲线曲面论定理,基于课题组已成功研发的直齿非圆锥齿轮的三维齿廓,对螺旋非圆锥齿轮齿面节线的构建原理进行了研究。基于映射法构建了螺旋非圆锥齿轮齿面节线的数学模型,依据密切面的思想及算法,完成了螺旋非圆锥小齿轮实体模型的构建。应用包络原理,完成了螺旋非圆锥大齿轮实体模型的构建。运动学仿真结果验证了算法及模型的正确性。研究成果为变传动比限滑差速器非圆锥齿轮设计及其啮合理论的完善及创新提供了理论和技术支撑。Applied the theory of curve and surface of differential geometry, based on the noncircular bevel gear profile researched and developed successfully by research team. The construction principle of the tooth section line of the spiral noncircular bevel gear is studied. Based on the mapping method, the mathematical model of the tooth section line of the spiral noncireular bevel gear is built. On the basis of the theory and algorithm of osculating planes, the solid model of the spiral noncircular bevel gear is built. The solid model of another spiral noncircular bevel gear is built according to the enveloping principle. The correctness of the algorithm and the model is verified by the kinematics simulation results. The research results provide theoretical and technical support for the improvement and innovation of the design and meshing theory of the spiral noncircular bevel gear in the variable ratio limited slip differential.

关 键 词：变传动比 非圆锥齿轮 齿面节线 数学模型 运动仿真 

分 类 号：U463.218.4[机械工程—车辆工程]