面接触齿轮传动原理及几何设计方法  

Transmission principle and geometric design method of face contact gear

作　　者：宋洪舟[1] 魏世民[1] 廖启征[1] 郭磊[1] 

机构地区：[1]北京邮电大学自动化学院,北京100876

出　　处：《中南大学学报（自然科学版）》2015年第9期3245-3251,共7页Journal of Central South University:Science and Technology

基　　金：国家高技术研究发展计划(863计划)项目(2011AA040203);国家科技支撑计划项目(2013BAD17B06);粮食公益行业科研专项(201313009-06)~~

摘　　要：为增大齿轮齿面间接触区域,减小接触应力,提出一种基于面接触的齿轮传动形式。根据平面连杆机构中高副低代原理,在齿面之间添加滑动块、改变齿廓形状,使齿面间点、线接触转变为面接触;利用复数矢量法建立内外啮合传动的运动学模型,得到传动比、角速度、角加速度方程;研究滑动块几何参数和理想条件下的尺寸约束方程,分析齿廓与滑动块之间的相对位置,得出主动齿轮、从动齿轮齿数选择的临界条件,讨论不通过情况下的齿数选择范围。利用三维造型工具对面接触齿轮传动进行结构设计并仿真分析。研究结果表明:面接触齿轮传动仿真结果与理论预测结果一致,为其进一步推广和应用提供了依据。In order to enlarge the contact area between the gear and the tooth surface and reduce the stress, a transmission method was proposed based on face contact gear. According to the lower pair replacing higher pair principle, the point contact or line contact of the tooth surface were turned into face contact with the adding of a sliding block and the changing of the shape of the tooth profile. The kinematic model of the internal and external meshing transmission was established based on the complex number vector method, and the equations of transmission ratio, angular velocity and angular acceleration were derived. The characteristics of continuous transmission and the relative position between the tooth profile and the slide block were analyzed, and the critical condition of selecting between a driving gear and a driven gear was obtained. Meanwhile, the teeth number selection range was further discussed under different situations. Furthermore, the structure design and simulation analysis of face contact gear transmission was gotten with three-dimensional modeling tool. The results show that the simulation results of the face contact gear transmission coincide with those of the theoretical prediction. Thus, a theoretical basis is provided for the promotion and application of surface contact gear transmission.

关 键 词：齿轮 面接触 啮合 滑动块 高副低代 

分 类 号：TH132.4[机械工程—机械制造及自动化]