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Modélisation et Identification du Comportement Dynamique des Broches UGV à Montages de Roulements Préchargés

机译:带有预紧轴承座的UGV主轴动态行为的建模和识别

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摘要

High Speed Machining spindles fulfill a great number of technical functions in a reduced and confined environment. In the aerospace industry, spindles have very high power and speed capabilities. The dm.N criterion, representing the criticality of the application for rolling bearings, is extremely high. It is therefore difficult to predict their coupled and complex behavior. This work aim at proposing a strictly minimal dynamic model to ease new spindle design and to optimize the cutting conditions in an industrial environment. In this context, a phenomenological approach is selected. First, a detailed model of the angular ball bearing is built. Dynamic effects on balls and macroscopic deformations of rings are included in the five degrees of freedom analytical model. A new exact analytical formulation of the stiffness matrix is proposed and validated. Then, the axial behavior of a spindle with double preload is updated. The experimental results are obtained with a new testing device designed to apply bidirectional axial loads on the spindle at any given speed. At the process‘s end, preload parameters are identified. More importantly new essential physical phenomena are found, enabling a better understanding of the complex and coupled axial behavior of the spindle: radial expansion of the bearing rings, the presence of a stroke limit, centrifugal axial shrinking and solid friction of preload device. Finally, an electromagnetic actuator is developed to study the three-dimensional behavior of the spindle. A time domain model of the spindle in Finite Elements is built including the complete updated bearing model. Simplifying hypotheses for the integration of the bearing model are studied. In the case of a stiff bending rotor and a high preload, a linear model of the bearing can be selected once the axial dynamic and non-linear equilibrium is reached. At the end, both numerical and experimental Frequency Response Functions are compared and analyzed. Frequency evolution and mode coupling with shaft speed are investigated thanks to the complete numerical model developed in this work.
机译:高速加工主轴在缩小而狭窄的环境中实现了许多技术功能。在航空航天工业中,主轴具有很高的功率和转速能力。 dm.N标准非常高,代表了滚动轴承应用的重要性。因此,很难预测它们的耦合行为和复杂行为。这项工作旨在提出一个严格的最小动态模型,以简化新的主轴设计并优化工业环境中的切削条件。在这种情况下,选择了现象学方法。首先,建立了角接触球轴承的详细模型。五自由度分析模型包括对球的动态影响和环的宏观变形。提出并验证了刚度矩阵的新的精确解析公式。然后,更新具有双重预紧力的主轴的轴向性能。实验结果是通过一种新型测试设备获得的,该设备设计为在任意给定速度下在主轴上施加双向轴向载荷。在流程结束时,将识别预加载参数。更重要的是,发现了新的基本物理现象,从而可以更好地理解主轴的复杂和耦合的轴向行为:轴承套圈的径向膨胀,行程极限的存在,离心轴向收缩和预紧装置的固体摩擦。最后,开发了一种电磁执行器来研究主轴的三维行为。在有限元素中建立了主轴的时域模型,其中包括完整的更新轴承模型。研究了轴承模型集成的简化假设。对于刚性弯曲的转子和高预紧力,一旦达到轴向动态和非线性平衡,就可以选择轴承的线性模型。最后,对数值和实验频率响应函数进行了比较和分析。由于这项工作开发了完整的数值模型,因此研究了频率演化和与轴速度的模式耦合。

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    Noel David;

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  • 年度 2013
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