干摩擦状态下人字齿行星齿轮传动系统动力学特性研究

Study on the Dynamic Characteristics of Herringbone Planetary Gear Train under Dry Friction State

摘要: 本文以人字齿行星齿轮传动系统为研究对象，采用集中质量法建立了含齿面摩擦、时变啮合刚度、齿侧间隙、综合啮合误差以及负载激励的干摩擦状态下人字齿行星齿轮传动系统纯扭转动力学模型，研究了系统的周期运动和分岔。通过数值仿真，得到了系统全局分岔图、相图和Poincaré图，识别了系统的啮合状态。结果表明，系统在低频域，内外啮合表现为完全啮合状态和稳定周期1运动；随着啮合频率增加，内外啮合的啮合周期的分岔图中表现出了丰富的动力学行为，周期运动、概周期运动、混沌运动相继涌现。

Abstract: This article takes the herringbone planetary gear train (HPGT) as the research object, and uses the concentrated mass method to establish a pure torsional dynamic model of the HPGT under dry friction conditions including tooth surface friction, time-varying meshing stiffness, tooth side clearance, comprehensive meshing error, and load excitation. The periodic motion and bifurcation of the system are studied. Through numerical simulation, the global bifurcation diagram, phase diagram, and Poincaré diagram of the system were obtained, and the meshing state of the system was identified. The results indicate that in the low-frequency domain, the internal and external meshing of the system exhibits a fully engaged state and stable periodic motion; As the meshing frequency increases, the bifurcation diagram of the meshing period of internal and external meshing exhibits rich dynamic behavior, with periodic motion, quasi periodic motion, and chaotic motion emerging successively.