分形润滑问题的变分原理

Fractals Pub Date : 2024-05-23 DOI:10.1142/s0218348x24500804

YU-TING ZUO

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摘要

微米/纳米级润滑必须考虑到轴和轴承表面的分形轮廓。本文提出了一种新的分形流变模型来描述非牛顿流体的特性，并通过半反演法建立了分形变分原理，最后在得到的变分公式中找到了拉格朗日乘数。这项工作为纳米/微米润滑提供了一种新的分形方法。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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VARIATIONAL PRINCIPLE FOR A FRACTAL LUBRICATION PROBLEM

Micro/nanoscale lubrication must take into account the fractal profile of the shaft and bearing surfaces. A new fractal rheological model is proposed to describe the properties of the non-Newtonian fluid, and a fractal variational principle is established by the semi-inverse method, and finally the Lagrange multipliers can be found in the obtained variational formulation. This work provides a new fractal approach to nano/micro lubrication.

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Fractals

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