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Modelling of Gear Meshing: A Numerical Approach for Dynamic Behavior Estimation of Thin Gears

机译：齿轮造型建模：薄齿轮动态行为估计的数值方法

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The paper deals with the numerical analysis of thin gears. In particular, a brief overview of literature modeling techniques is reported in order to understand the best way for analyzing the dynamic behavior of gears. Then a multibody commercial software is used for implementing different complexity levels of models. The study starts with a simplified model that considers rigid the gears and concentrates the stiffness in the contact between teeth. The second, and more complex, model considers the stiffness in the contact and adds the compliance of the teeth. Stiffness of tooth is depicted as a rotational stiffness placed at the tooth root. Then, the third model increases the complexity, in fact the second model is complicated introducing the compliance of the gear body. In order to do that, a modal analysis of the gears is conducted and the synthetized modal shapes of the gears are introduced in the multibody model. The comparison highlights how the dynamic behavior of thin gears is really important in the meshing force estimation, in fact the transmission error becomes more irregular and the contact forces increase. As a second aspect, this analysis emphasizes the influence of the contact damping and the contact friction in the backlash phenomenon.
机译：本文涉及薄齿轮的数值分析。特别是，报告了文献建模技术的简要概述，以了解分析齿轮动态行为的最佳方法。然后，多体商业软件用于实现不同的复杂性模型。该研究从简化模型开始，该模型考虑齿轮，并将刚度的刚度集中在牙齿之间的接触中。第二种，更复杂，模型认为接触中的刚度并增加牙齿的依从性。牙齿的刚度被描绘为放置在齿根处的旋转刚度。然后，第三模型增加了复杂性，实际上第二模型是复杂的引入齿轮体的遵守情况。为此，进行齿轮的模态分析，并且在多体模型中引入了齿轮的合成模态形状。比较突出了薄齿轮的动态行为在啮合力估计中非常重要，实际上传输误差变得更不规则，接触力增加。作为第二方面，该分析强调了接触阻尼的影响和在反速现象中的接触摩擦的影响。

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