考虑点蚀情况的双渐开线齿轮动态特性研究  

Dynamic characteristics of double involute gears considering pitting corrosion

作　　者：沈成 姜宇 姜春雷 潘毅 樊智敏[1] SHEN Cheng;JIANG Yu;JIANG Chunlei;PAN Yi;FAN Zhimin(College of Mechanical Engineering,Qingdao University of Science and Technology,Qingdao 266061,China)

机构地区：[1]青岛科技大学机电工程学院,山东青岛266061

出　　处：《机电工程》2024年第3期382-391,共10页Journal of Mechanical & Electrical Engineering

基　　金：国家自然科学基金资助项目(52075279)。

摘　　要：齿轮是机械传动系统的核心部件,点蚀与磨损是其主要失效的形式。为解决齿轮发生点蚀失效时双渐开线齿轮的时变啮合刚度与动态特性不明这一问题,采用接触线百分比法求解了发生点蚀时双渐开线齿轮的啮合刚度,并利用有限元法验证了算法的正确性。首先,对不同点蚀情况进行了分类,分析了不同点蚀数量对双渐开线齿轮接触线长度的影响;然后,基于接触线百分比法,利用轮齿载荷与轮齿变形的比值关系求解了不同点蚀情况下齿轮的啮合刚度,采用有限元法验证了算法的正确性,并对比分析了点蚀对双渐开线与普通渐开线齿轮啮合刚度的影响;最后,建立了两种齿轮的柔性多体动力学模型,基于冲激函数法分析了两种齿轮在不同点蚀情况下的动力学特性。研究结果表明:相同工况条件下,随着点蚀程度的加深,两种类型齿轮啮合刚度均不断减小,动态啮合力及振动角加速度幅值增加,其中双渐开线齿轮啮合力最大值为1.24×10^(5)N,角加速度最大值为2.66×10^(6)°/s^(2);相比于普通渐开线齿轮,双渐开线齿轮在点蚀影响下的啮合刚度变化更稳定,加速度幅值波动更平缓,具有更好的抵抗冲击能力和动力传递稳定性。Gear is the core component of mechanical transmission system,and pitting and wear are its main failure forms.In order to solve the problem that the time-varying meshing stiffness and dynamic characteristics of double involute gear are unknown when pitting failure occurs.The meshing stiffness of double involute gear with pitting corrosion was calculated by using the percentage of contact line method,and the correctness of the algorithm was verified through finite element method.Firstly,the different erosion conditions were categorized and the influence of different number of pitting on the contact line length was analyzed.Then,based on the method of the percentage of contact line,the ratio relationship between tooth load and tooth deformation was used to solve the meshing stiffness of gear at different points of erosion.The correctness of the algorithm was verified by finite element method,and the influence of pitting on meshing stiffness of double involute gear and ordinary involute gear was compared and analyzed.Finally,the flexible multi-body dynamic models of the two gears were established,and the dynamic characteristics of the two gears under different corrosion conditions were analyzed based on the impulse function method.The research results show that,under the same working conditions,with the deepening of pitting corrosion,the meshing stiffness of both types of gears continuously decreases,while the dynamic meshing force and vibration angle acceleration amplitude increase.Among them,the maximum meshing force of double involute gear is 1.24×10^(5) N,and the maximum angular acceleration is 2.66×10^(6)°/s ^(2).Comparing with ordinary involute gear,the meshing stiffness of double involute gear under the influence of pitting corrosion is more stable,the acceleration amplitude fluctuates more gently,and it has better impact resistance and power transmission stability.

关 键 词：机械传动系统 齿轮传动 点蚀与磨损 接触线长度 啮合刚度 动力学特性 

分 类 号：TH132.41[机械工程—机械制造及自动化]