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ON THE DYNAMICS OF GAS LUBRICATED TRIBOELEMENTS

机译:气体润滑三重链的动力学研究

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摘要

Gas lubricated triboelements are ubiquitous in many applications, from gas turbines seals, high speed dental drills, cryogenic refrigerators, oil-free bearings for turbo chargers, to read-write self acting heads in magnetic recording. In all these application the film must be maintained sufficiently precise especially in the presence of disturbances. Hence, it is insufficient to analyze such triboelements quasi statically, where a complete dynamic analysis of the system is needed. Numerous techniques have been developed over the past five decades, some are purely numerical, and others are semi-analytical. Complete analytical methods are practically non-existent because of the non-linear nature of the Reynolds equation. This work discusses a few of the common techniques, explores their intricate, and highlights limitations and flaws in implementation. Particularly: (1) in the so called "orbit codes" the equations of motion and the Reynolds equation must be solved simultaneously (and not "side-by-side"), (2) a common representation of linearized stiffness and damping is shown to be produce unrealistic results even in the simplest application, and (3) for the first time a mathematical justification is given for the use of Prony series representation of the hereditary stiffness in the so called "step-jump" method.
机译:气体润滑的摩擦元件在许多应用中无处不在,从燃气轮机密封件,高速牙钻,低温冰箱,涡轮增压器的无油轴承到磁记录中的可读写自作用磁头。在所有这些应用中,薄膜必须保持足够的精确度,尤其是在存在干扰的情况下。因此,在需要对系统进行完整的动态分析的情况下,不足以准静态地分析这些摩擦元件。在过去的五十年中,已经开发出了许多技术,其中一些是纯数字的,而另一些则是半分析的。由于雷诺方程的非线性性质,因此实际上不存在完整的分析方法。这项工作讨论了一些常见的技术,探讨了它们的复杂性,并强调了实施中的局限性和缺陷。特别是:(1)在所谓的“轨道代码”中,运动方程和雷诺方程必须同时求解(而不是“并排”),(2)表示线性化刚度和阻尼的通用表示形式即使在最简单的应用中也可能产生不切实际的结果,并且(3)首次在所谓的“步进跳跃”方法中给出了使用Prony级数表示遗传刚度的数学依据。

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