直齿和斜齿传动静态和动态轮齿负荷的实现和模拟鉴定

Static and Dynamic Tooth Loading In Spur and Helical Geared Systems-Experiments and Model Validation

证实一个用在传动回转装置的动态轮齿负荷仿真的专用有限元程序是研究的主要目的。在采用液体静压和液体动压轴承的柔性轴的高精度单级直齿和斜齿减速器上已经过实验论证。该数值模型建立于一些典型元件 (轴、集成刚度… )和一个考虑非线性时间变量啮合刚度的齿轮 ,齿轮误差和齿形修正。由接触齿面的瞬时接触工况采用插入时间间隔积分图中的一个迭代接触算法求出外部和参数激励。首先比较实验和数值分析结果 ,确认所推荐的轮齿干涉模型是正确的 ,比较扩展到齿轮轴转速在 5 0— 60 0 0 r/min间的直齿和斜齿两者的动态齿根圆角应力 ,除具有特殊支承布置的直齿轮情况外 ,证明所述传动装置的动态模型的实验和数值计算曲线全面一致。

The primary objective of this study is to validate a specific finite element code aimed at simulating dynamic tooth loading in geared rotor systems. Experiments have been conducted on a high-precision single stage spur and helical gear reducer with flexible shafts mounted on hydrostatic or hydrodynamic bearings. The numerical model is based on classical elements (shaft, lumped stiffnesses.…) and on a gear element which accounts for non-linear time-varying mesh stiffness, gear errors and tooth shape modifications. External and parametric excitations are derived from the instantaneous contact conditions between the mating flanks by using an iterative contact algorithm inserted in a time-step integration scheme. First, experimental and numerical results at low speeds are compared and confirmed that the proposed tooth mesh interface model is valid. Comparisons were then extended to dynamic fillet stresses on both spur and helical gears between 500? ?00 r/minon pinion shaft. Despite a localized problem in the case of spur gears with one particular bearing arrangement, the broad agreement between the experimental and numerical response curves demonstrated that the model is representative of the dynamic behavior of geared systems.