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A shape-independent approach to modelling gear tooth spalls for time varying mesh stiffness evaluation of a spur gear pair

机译:用于对正齿轮副进行时变啮合刚度评估的齿轮形状剥落建模的独立于形状的方法

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Accurately evaluating the gear mesh stiffness with tooth fault(s) plays an important role in gear dynamic simulations. Common approaches to evaluating the gear TVMS with spall assume a specific geometry (rectangular, round, elliptical, V-shape etc.) to approximate the features of the spall. The accuracy of geometry-based methods on modeling gear tooth spall depends on how close the utilized geometry is to the actual shape of the spall. In practice, gear tooth spalls often occur in very irregular shapes and may also have randomly distributed features under multi-spall conditions. Due to shape irregularities and uncertainties in their distribution, it is often difficult to apply existing methods to accurately evaluate gear TVMS with spalls as observed in practice. To address these shortcomings, this paper proposes a shape-independent method to model tooth spall(s) based on defect ratios instead of a specific geometry. The proposed method is applicable to tooth spalls of various sizes, shapes, numbers and distribution conditions, and thus is capable of modeling any kind of tooth spall. A powerful advantage of the proposed method is that to change the type of spall being modelled, only the functions of the defect ratios need to be modified rather than the entire algorithm. Therefore, the proposed method is general in nature and much easier to implement in practice. The effectiveness of the proposed shape-independent approach to modelling different kinds of tooth spalls is validated by finite element results. (C) 2018 Elsevier Ltd. All rights reserved.
机译:准确评估带有齿故障的齿轮啮合刚度在齿轮动力学仿真中起着重要作用。评估带有剥落的齿轮TVMS的常用方法采用特定的几何形状(矩形,圆形,椭圆形,V形等)来近似剥落的特征。在齿轮齿裂上建模的基于几何方法的准确性取决于所用几何与齿裂实际形状的接近程度。在实践中,轮齿剥落经常以非常不规则的形状发生,并且在多碎石情况下也可能具有随机分布的特征。由于形状的不规则性和分布的不确定性,通常难以应用现有方法来准确评估齿轮TVMS的剥落,如在实践中观察到的那样。为了解决这些缺点,本文提出了一种基于形状缺陷的模型来基于缺陷率而不是特定的几何形状来模拟牙齿剥落的方法。所提出的方法适用于各种尺寸,形状,数量和分布条件的牙齿剥落,因此能够对任何种类的牙齿剥落进行建模。所提出的方法的强大优势在于,要更改要建模的剥落的类型,只需修改缺陷率的函数,而不是整个算法。因此,所提出的方法本质上是通用的,并且在实践中更容易实现。有限元结果验证了所提出的形状独立方法对不同种类牙齿剥落建模的有效性。 (C)2018 Elsevier Ltd.保留所有权利。

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