• CN：11-2187/TH
  • ISSN：0577-6686
机械工程学报

机械工程学报 ›› 2017, Vol. 53 ›› Issue (5): 160-166.doi: 10.3901/JME.2017.05.160

• 摩擦学 • 上一篇    下一篇

共形接触粗糙表面润滑问题的多尺度计算方法*

裴世源1, 王鹏飞1, 徐华1，2   

  1. 1. 西安交通大学现代设计与转子轴承系统教育部重点实验室 西安 710049；
    2. 新疆大学机械工程学院 乌鲁木齐 830046
  • 出版日期:2017-03-05 发布日期:2017-03-05
  • 作者简介:

    裴世源，男，1983年出生，讲师。主要研究方向为工程摩擦学、润滑理论和多尺度计算。

    E-mail：peishiyuan@mail.xjtu.edu.cn

  • 基金资助:
    * 国家重点基础研究发展计划(973计划，2011CB706602)、陕西省工业科技攻关(2015GY022)和国家自然科学基金(51575421)资助项目; 20160612收到初稿，20161105收到修改稿;

Multiscale Computation Method for Conformal Contacted Rough Surface Lubrication Problem

PEI Shiyuan1, WANG Pengfei1, XU Hua1，2   

  1. 1. Key Laboratory of Education Ministry for Modern Design and Rotor-Bearing System，Xi’an Jiaotong University， Xi’an 710049；
    2. School of Mechanical Engineering， Xinjiang University， Urumqi 830046
  • Online:2017-03-05 Published:2017-03-05

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摘要：

为求解共形接触粗糙表面的润滑性能，提出非周期多尺度润滑问题的确定性计算方法——有限细胞法(Finite cell method，FCM)，详细介绍FCM的基本原理和关键实施步骤，通过数个算例，对比验证FCM在求解周期和非周期多尺度润滑问题时的计算速度，求解精度和并行特性。结果表明：以传统FEM作为参照，FCM计算误差不大于0.2%，计算规模可扩大2至3个数量级，并可显著降低计算时间。因此，FCM是求解共形接触粗糙表面润滑问题的一种切实可行的计算方法， 同时FCM与控制方程无关的特性也为求解工程中其他领域的多尺度问题提供了参考。

关键词: 粗糙表面, 共形接触, 有限细胞法, 多尺度计算

Abstract:

In order to solve the conformal contacted rough surface lubricating problem, the finite cell method (FCM) is proposed, which is a deterministic multiscale computational method for heterogeneous problems. The basic principles and key implementation steps are introduced in detail. The proposed method is validated by a number of comparative numerical experiments. Parallel implementation and performance of the method are also addressed. The speed, accuracy of FCM have been systematically analyzed, and the results show that: the computational difference of the results between FEM and FCM are less than 0.2% and the computational scale can be expanded up to three orders of magnitude; Moreover, the computing time can be significantly reduced. Therefore, the FCM is a practical numerical method for calculating the rough surface lubrication problems. Furthermore, FCM can also be applicable in other engineering fields, such as porous flow and heat transfer.

Key words: conformal contact, finite cell method (FCM), rough surface, multiscale computing

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