考虑齿距累积误差的圆柱齿轮动态磨损分析
Dynamic wear analysis of cylindrical gears with cumulative pitch errors
-
摘要: 齿距累积误差是齿轮传动系统中广泛存在的一种制造误差。考虑齿距累积误差,基于轮齿承载接触分析方 法建立载荷分配模型,从而得到啮合刚度和空载传递误差,并将其导入齿轮转子动力学模型中计算系统振动响应。 基于所得到的动态载荷和 Archard 磨损理论,建立齿轮动态磨损预测模型。分析了齿距累积误差对啮合特性、响应 特性以及磨损分布的影响。结果表明,齿距累积误差会引发齿间载荷分配和齿间磨损的不均匀性,导致振动响应中 出现轴频、追逐齿频率和组合状态频率等频率成分;轻微磨损有助于缓解齿间载荷分配不均,但剧烈的磨损会恶化 均载特性,导致振动加剧;采用追逐齿设计可以使磨损不均匀性系数降低约 30%。研究结果可为齿轮磨损机理研 究和齿轮参数设计提供理论依据。Abstract: Cumulative pitch error is a common form of manufacturing error in gear transmission systems. Considering the cumula? tive pitch errors, a load distribution model is established based on the loaded tooth contact analysis method. The mesh stiffness and non-loaded transmission error obtained from the load distribution model are imported into the dynamic model of the geared rotor system to acquire the vibration responses. Based on the dynamic load distribution and Archard’s wear theory, a wear prediction model of gear pairs is established. In order to verify the proposed model, the simulated results are compared with the experimental results in a published literature. On the basis of the proposed model, the effects of the cumulative pitch errors on meshing character? istics, response characteristics and wear distribution are discussed. It is found that cumulative pitch errors will lead to the non-uni? form load distribution and wear distribution among gear teeth, introducing the shaft frequency, hunting tooth frequency and assem? bly phase frequency into the vibration responses. Mild wear is beneficial to relieve the non-uniform wear among gear teeth. Howev? er, the severe wear will deteriorate the contact state, leading to violent vibration. The wear non-uniformity coefficient can be re? duced by 30% after adopting the hunting tooth design. The proposed model can provide theoretical guidance for the gear wear mechanism and the design of gear parameters.