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首页> 外文会议>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) >ELASTIC CONTACT STIFFNESS AND CONTACT RESISTANCE FOR FRACTAL PROFILES
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ELASTIC CONTACT STIFFNESS AND CONTACT RESISTANCE FOR FRACTAL PROFILES

机译：分形轮廓的弹性接触刚度和接触电阻

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摘要

A recent theorem due to Barber shows an analogy between conductance and incremental stiffness of a contact, implying bounds on conductance based on peak-to-peak roughness. This shows that even a fractal roughness, with bounded amplitude, has a finite conductance. The analogy also permits a simple interpretation of classical results of rough contact models based on independent asperities such as Greenwood-Williamson and developments. For example, in the GW model with exponential distribution of asperity heights, the conductance is found simply proportional to load, and inversely proportional to a roughness amplitude parameter which does not depend greatly on resolution, contrary to parameters of slopes and curvatures. However, for the Gaussian distribution or for more refined models also considering varying curvature of asperities (such as Bush Gibson and Thomas), there is dependence on sampling interval and the conductance grows unbounded. An alternative choice of asperity definition (Aramaki-Majumdar-Bhushan) is suggested, which builds on the geometrical intersection of the rough surface, with the consequence of a finite contact area, and converging load-separation and load-conductance relationships. A discussion follows, also based on numerical results.
机译：由Barber提出的最新定理表明，电导率和接触的增量刚度之间存在类比，这暗示了基于峰间粗糙度的电导范围。这表明，即使具有一定幅度的分形粗糙度也具有有限的电导率。该类比还允许简单地解释基于独立凹凸如Greenwood-Williamson和开发的粗糙接触模型的经典结果。例如，在具有凹凸高度的指数分布的GW模型中，发现电导仅与负载成正比，而与粗糙度幅度参数成反比，该粗糙度幅度参数与分辨率和曲率的参数相反，很大程度上不取决于分辨率。但是，对于高斯分布或更精细的模型（还考虑到粗糙的曲率变化）（例如布什·吉布森（Bush Gibson）和托马斯（Thomas）），依赖于采样间隔并且电导无限增长。提出了粗糙定义的另一种选择（Aramaki-Majumdar-Bhushan），其建立在粗糙表面的几何交点上，其结果是有限的接触面积，以及会聚的载荷分离和载荷-电导关系。接下来的讨论也基于数值结果。

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