计及齿顶修形的行星齿轮啮合冲击及均载特性研究
Research on the Meshing Impact and Uniform Load Characteristics of Planetary Gears Considering Tooth Tip Modification
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摘要: 为揭示齿顶修形量与齿轮副啮合冲击之间动态关系,该文首先建立齿顶修形后齿轮副啮合冲击激励解析计算模型,以明晰修形量与齿轮副最大啮合冲击力之间的演化规律;而后,给出齿顶修形齿轮副时变啮合刚度解析计算公式,以研究齿顶修形对啮合刚度的影响;进而,搭建行星轮系统动力学模型,计算行星轮系统均载系数,并阐明齿顶修形后系统载荷分配能力。结果表明:随齿顶修形量增加,齿轮副啮合冲击力减小;齿轮副时变啮合刚度曲线在齿顶修形后出现明显突变;齿顶修形使传动系统动态均载系数波动减小,由啮合冲击引起的动态均载系数变化在修形后平稳,均载性能得到改善。此研究对提升齿轮系统的可靠性和整机系统的稳定性具有重要意义与工程应用价值。Abstract: In order to reveal the dynamic relationship between the tooth top modification amount and the meshing impact of the gear pair, the paper firstly established an analytical computational model for the meshing impact excitation of the gear pair after the tooth top modification,so as to clarify the evolution law between the modification amount and the maximum meshing impact force of the gear pair; then, an analytical formula for calculating the time-varying meshing stiffness of gear pairs with tooth top modification was provided, and the influence of tooth top modification on meshing stiffness was studied; furthermore, the dynamics model of the planetary wheel system was constructed to calculate the equalization coefficient of the planetary wheel system and to clarify the system load distribution capacity after tooth top modification. The results showed that, as the amount of tooth top modification increased, the meshing impact force of the gear pair decreased; the time-varying meshing stiffness curve of the gear pair showed a marked abrupt variation after tooth top modification; the tooth top modification reduced the fluctuation of the dynamic load sharing coefficient of the transmission system, and the dynamic load sharing coefficient change caused by meshing impact was stable after the modification, and the load sharing performance was improved.