双相正弦激波推杆活齿传动齿形综合与啮合力特性  

Tooth Profile Synthesis and Meshing Force Characteristic of Sinusoidal Double Generating-wave Pushrod Movable Tooth Transmission

作　　者：王利闯 安子军[1,2] Wang Lichuang;An Zijun(College of Mechanical Engineering,Yanshan University,Qinhuangdao 066004,China;Hebei Key Laboratory of Special Delivery Equipment,Yanshan University,Qinhuangdao 066004,China)

机构地区：[1]燕山大学机械工程学院,河北秦皇岛066004 [2]燕山大学河北省特种运载装备重点实验室,河北秦皇岛066004

出　　处：《机械传动》2020年第2期9-15,共7页Journal of Mechanical Transmission

基　　金：国家自然科学基金（51275440）

摘　　要：针对新型双相正弦激波推杆活齿传动,进行了齿形综合和啮合力特性分析。首先,根据其结构和传动原理设计了双相正弦激波器廓线,推导出该传动机构中心轮齿廓方程及其变曲率计算公式,根据中心轮齿廓曲率变化曲线得到齿廓不发生干涉的条件,分析了中心轮实际齿廓干涉的影响因素;然后,基于变形协调条件分析了推杆活齿啮合副的啮合力及其变化规律和影响因素,分别得到推杆活齿与中心轮和激波器啮合的最大啮合力;最后,研究推导出传动机构的压力角计算公式,并分析了压力角的变化规律和影响因素。结果表明,传动比是影响中心轮实际廓线干涉的主要因素,波幅值次之;波幅值是影响啮合力的主要因素,形成双正弦激波凸轮理论廓线的基础圆半径ρ0次之;而波幅值是影响压力角α1的主要因素,ρ0是影响压力角α2的主要因素。研究为该传动机构设计和性能分析提供了理论依据。Aiming at the new double sinusoidal generating wave pushrod movable tooth drive,the tooth profile synthesis and meshing force characteristic analysis are carried out.Firstly,according to the structure and the transmission principle,the profile of double sinusoidal generating-wave is designed,the tooth profile equa⁃tion of center gear and the variable curvature calculation formula is deduced.According to the curvature curve of the tooth profile of center gear,the condition that the tooth profile of center gear does not interfere is gotten,and the factors to affect the actual tooth profile interference of the center gear are analyzed.Then,the changing law and the influencing factors of the meshing force on the meshing pair of the movable tooth are analyzed based on the deformation coordination relationship.The maximum meshing force of the pushrod movable tooth on the cen⁃ter gear and the generator is gotten respectively.Finally,the calculation formula of the pressure angle of the transmission mechanism is conducted,and the variation law and influencing factors of pressure angle are ana⁃lyzed.The results show that the transmission ratio is the main factor affecting the actual profile interference of the center gear,and the amplitude is the second.The amplitude is the main factor affecting the meshing forces,and the radius of the base circleρ0 that forms the theoretical profile of the double sinusoidal generating-wave cam is the second.The amplitude is the main factor affecting the pressure angleα1,and theρ0 is the main factor affecting the pressure angleα2.A theoretical basis for the design and performance analysis of this mechanism is provided by this study.

关 键 词：双相正弦激波 推杆活齿传动 齿形综合 啮合力特性 压力角 

分 类 号：TH132.41[机械工程—机械制造及自动化]