Accuracy of a solution of Reynolds equation for a compressible lubricant using an approximate linearization technique

机译：使用近似线性化技术的可压缩润滑剂雷诺方程解的精度

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The nonlinear nature of Reynolds equation when the lubricant is compressible has prevented exact solutions being obtained except for the one case of an infinitely long step slider bearing. A method of linearizing the compressible equation by using a fictitious algebraic pressure-density relationship was suggested many years ago by Sneck. Little has been reported on the possible use of this linearization technique, possibly because of concern over the un-established accuracy of solutions obtained, and the need to specify a value for an arbitrary constant in the relationship.This paper provides an explicit demonstration of the accuracy of the linearized solution for the infinitely long step slider bearing by comparison with the Kochi solution. The use of the linearized equation to obtain solutions for other geometries is demonstrated For these bearings, the Speck linearization provides solutions within accepted engineering accuracy.

机译：当润滑剂是可压缩的时，雷诺方程的非线性性质阻止了获得精确解，除了无限长步距滑动轴承的一种情况。 Sneck提出了一种通过使用虚拟代数压力-密度关系来线性化可压缩方程的方法。关于这种线性化技术的可能用途的报道很少，可能是由于担心所获得的解的不确定性的准确性，以及需要为关系中的任意常数指定一个值。与Kochi解决方案相比，无限长步距滑动轴承线性化解决方案的精度更高。演示了如何使用线性化方程式来获取其他几何形状的解对于这些轴承，Speck线性化可以在公认的工程精度范围内提供解。

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来源
《American Society of Mechanical Engineers(ASME)/Society of Tribologists and Lubrication Engineers(STLE) International Joint Tribology Conference 2004(IJTC 2004) vol.1 pt.A; 20041024-27; Long Beach,CA(US)》|2004年|P.645-650|共6页
会议地点 Long BeachCA(US)
作者
D.J. Foster;
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作者单位

Member ASME, MI;

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原文格式 PDF
正文语种 eng
中图分类机械摩擦、磨损与润滑;
关键词
bearings; hydrodynamic; compressible; linearization; accuracy;

机译：轴承;流体动力;可压缩;线性化;精度;

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Accuracy of a solution of Reynolds equation for a compressible lubricant using an approximate linearization technique

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