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首页> 外文期刊>Mechanical systems and signal processing >Dynamic modelling of a one-stage spur gear system and vibration-based tooth crack detection analysis
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Dynamic modelling of a one-stage spur gear system and vibration-based tooth crack detection analysis

机译：一阶段正齿轮系统的动力学建模和基于振动的齿裂纹检测分析

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For the purpose of simulation and vibration-based condition monitoring of a geared system, it is important to model the system with an appropriate number of degrees of freedom (DOF). In earlier papers several models were suggested and it is therefore of interest to evaluate their limitations. In the present study a 12 DOF gear dynamic model including a gyroscopic effect was developed and the equations of motions were derived. A one-stage reduction gear was modelled using three different dynamic models (with 6, 8 and 8 reduced to 6 DOF), as well as the developed model (with 12 DOF), which is referred as the fourth model in this paper. The time-varying mesh stiffness was calculated, and dynamic simulation was then performed for different crack sizes. Time domain scalar indicators (the RMS, kurtosis and the crest factor) were applied for fault detection analysis. The results of the first model show a clearly visible difference from those of the other studied models, which were made more realistic by including two more DOF to describe the motor and load. Both the symmetric and the asymmetric disc cases were studied using the fourth model. In the case of disc symmetry, the results of the obtained response are close to those obtained from both the second and third models. Furthermore, the second model showed a slight influence from inter-tooth friction, and therefore the third model is adequate for simulating the pinion's y-displacement in the case of the symmetric disc. In the case of the asymmetric disc, the results deviate from those obtained in the symmetric case. Therefore, for simulating the pinion's y-displacement, the fourth model can be considered for more accurate modelling in the case of the asymmetric disc.
机译：为了对齿轮传动系统进行仿真和基于振动的状态监视，以适当数量的自由度（DOF）对系统进行建模非常重要。在较早的论文中，提出了几种模型，因此有必要评估它们的局限性。在本研究中，开发了包含陀螺效应的12自由度齿轮动力学模型，并推导了运动方程。使用三个不同的动力学模型（将6、8和8降低为6 DOF）以及开发的模型（具有12 DOF）对一个一级减速齿轮进行建模，在本文中将其称为第四模型。计算随时间变化的网格刚度，然后针对不同的裂缝尺寸进行动态仿真。时域标量指标（RMS，峰度和波峰因数）用于故障检测分析。第一个模型的结果显示出与其他已研究模型的明显不同，后者通过增加两个自由度来描述电动机和负载而变得更加现实。使用第四个模型研究了对称和不对称椎间盘病例。在圆盘对称的情况下，获得的响应结果接近于从第二个模型和第三个模型获得的结果。此外，第二个模型显示出轻微的齿间摩擦影响，因此，第三个模型足以模拟对称圆盘情况下的小齿轮的y位移。在非对称盘的情况下，结果与在对称情况下获得的结果不同。因此，为了模拟小齿轮的y位移，在非对称圆盘的情况下，可以考虑使用第四种模型进行更精确的建模。

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