Abstract Tip relief modifications are a common design feature used in industrial practice to reduce dynamic tooth loading, noise, vibrations and wear in high-performance gears. This paper presents a novel implementation of a specific multibody model to include the effect of tip relief micro-modification on spur gears. The model considers every tooth attached to the wheel hub with a revolute joint and an equivalent torsion spring. A penalty formulation is adopted to solve the teeth contact (2D). The proposed methodology offers a trade-off between the accuracy of an equivalent finite element method model and the advantage of reducing the degrees of freedom allowing for fast dynamic simulations. Moreover, there is no need to preliminary predict mesh stiffness or static transmission error as a source of excitation for dynamic simulation, because these are direct outputs of the model simulation given the modified tooth geometry. Model validation is done comparing numerical results with experimental data taken from literature. The effects of geometry modification are studied both in quasi-static and dynamic conditions. Finally, the model has adopted to assess the off-design performance of spur gears.

中文翻译：

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使用带可动齿的多体模型对正齿轮动力学中齿尖间隙的影响

摘要 齿尖释放修正是工业实践中常用的一种设计特征，用于减少高性能齿轮中的动态齿载荷、噪声、振动和磨损。本文提出了一种特定多体模型的新颖实现，包括尖端浮雕微修改对正齿轮的影响。该模型考虑了通过旋转接头和等效扭力弹簧连接到轮毂的每个齿。采用惩罚公式来解决牙齿接触（2D）问题。所提出的方法在等效有限元方法模型的准确性和允许快速动态模拟的减少自由度的优势之间提供了权衡。此外，不需要预先预测网格刚度或静态传输误差作为动态模拟的激励源，因为这些是给定修改后的牙齿几何形状的模型模拟的直接输出。模型验证是通过将数值结果与文献中的实验数据进行比较来完成的。在准静态和动态条件下研究了几何修改的影响。最后，该模型已用于评估正齿轮的非设计性能。