新型高承载能力低滑动率齿轮设计与分析  

Design and analysis of novel gears with high load-carrying capacity and low sliding rate

作　　者：贾超 贺庆拓 方宗德[2] JIA Chao;HE Qingtuo;FANG Zongde(School of Mechanical Engineering and Automation,Fuzhou University,Fuzhou 350108,China;School of Mechanical Engineering,Northwestern Polytechnical University,Xi’an 710072,China)

机构地区：[1]福州大学机械工程及自动化学院,福建福州350108 [2]西北工业大学机电学院,陕西西安710072

出　　处：《华中科技大学学报（自然科学版）》2024年第6期87-93,共7页Journal of Huazhong University of Science and Technology(Natural Science Edition)

基　　金：国家自然科学基金资助项目(52375044)。

摘　　要：基于曲线型啮合线设计了一种高承载能力低滑动率新型齿轮,借助微分几何和空间啮合理论,通过预设抛物线啮合线推导新型齿轮齿廓方程,计算新型齿轮重合度和齿面滑动率.利用Matlab编程仿真齿轮加工过程,实现新型齿轮参数化高精度三维有限元网格建模.在此基础上,通过轮齿承载接触分析,深入分析安装误差、齿面修形等对新型齿轮齿面接触应力和齿根弯曲应力的影响.结果表明:与渐开线齿轮相比,设计的新型齿轮重合度明显提高,传动更加平稳;齿面相对滑动率降低22.9%,啮合效率提高,有效寿命延长;相同载荷下,无误差无修形工况和有误差有修形工况的新型齿轮承载能力都明显优于渐开线齿轮,特别是齿面接触应力减小高达17.0%以上.A novel gear with high load-carrying capacity and low sliding rate was designed based on a curved path of contact.Through differential geometry and spatial meshing theory,the novel gear profiles were derived from the preset parabola path of contact,and calculations of the contact ratio and the sliding rate of the novel gears were carried out.The parametric high-precision three-dimensional finite element meshing modeling of novel gears was obtained based on the simulation gear machining programmed by Matlab.On this basis,through the loaded tooth contact analysis of the novel gear pair,and a thorough study of the impact of modification parameter and misalignment on the contact stress and the bending stress of novel gears was carried out.Results show that compared with the involute gears,the contact ratio of the novel gears is significantly improved and the transmission is more stable.The slide ratio of tooth surface is reduced by 22.9%,the meshing efficiency is improved,and the effective life is prolonged.Under the same load,the load-carrying capacity of the novel gears with no error and no modification and with error and modification is obviously better than that of the involute one,and especially the contact stress is reduced by more than 17.0%.

关 键 词：新型齿轮 齿廓设计 高承载 低滑动率 轮齿承载接触分析 

分 类 号：TH132[机械工程—机械制造及自动化]