含裂纹的人字齿轮行星系统均载分析

    Load-sharing analysis of herringbone planetary gear system with cracks

    • 摘要: 为了研究齿根裂纹对人字齿轮行星系统均载特性的影响,本文构建了考虑裂纹长度、刚度、阻尼等因素的弯扭轴耦合的23自由度的动力学模型。通过势能法求解了含裂纹的系统时变啮合刚度。采用龙格库塔法求解系统的动力学微分方程,得到系统动态啮合作用力和动态均载系数。结果表明:齿轮含裂纹时,系统的时变啮合刚度减小,系统均载曲线会出现明显激励,均载特性曲线随着裂纹的加剧先降后增,均载特性逐渐变差;当制造误差不变时,内、外啮合副均载特性曲线随裂纹增加而增大,均载特性逐渐变差;当裂纹不变时,内、外啮合副均载特性曲线随着制造误差增大而增大,表明均载特性逐渐变差。

       

      Abstract: To investigate the influence of root cracks on the load-sharing characteristics of herringbone planetary gear system, a 23-degree-of-freedom bending-torsional-axial coupled dynamic model was established, considering the effects of crack length, mesh stiffness, and damping. The time-varying mesh stiffness (TVMS) of the cracked system was derived using the potential energy method, and the system’s nonlinear dynamic equations were solved by the Runge-Kutta method to obtain the dynamic meshing force and load-sharing coefficient. The results indicate that the presence of gear cracks reduces the system’s TVMS and induces obvious excitations in the load-sharing curve. As the crack propagates, the load-sharing coefficient first decreases and then increases, showing a gradual deterioration of the load-sharing performance. Under constant manufacturing errors, the load-sharing coefficient of both internal and external meshing pairs increases with crack severity, indicating degraded load-sharing capability. Conversely, when the crack size remains unchanged, increasing manufacturing errors also cause the load-sharing coefficient to rise, further confirming that the load-sharing performance deteriorates with larger errors.

       

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