卷吸速度方向与椭圆短轴成一夹角的弹流润滑渐近网格加密算法

蒲伟 1; 王家序 1; 2; 周广武 1; 李俊阳 2; 褚坤明 1

doi:10.7652/xjtuxb201409016

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卷吸速度方向与椭圆短轴成一夹角的弹流润滑渐近网格加密算法

更新时间：2025-07-09

- 卷吸速度方向与椭圆短轴成一夹角的弹流润滑渐近网格加密算法
- Progressive Mesh Densification(PMD)Method in Elastohydrodynamic Lubrication of Elliptical Contacts with Arbitrary Entrainment
- 西安交通大学学报 2014年48卷第9期页码：95-100
- 作者机构：
  
  四川大学空天科学与工程学院,成都,610065
- 作者简介：
- 基金信息：
  
  : 2014-02-08。作者简介: 蒲伟(1989—),男,博士生;王家序(通信作者),男,教授,博士生导师。基金项目: 国家自然科学基金资助项目(51375506);教育部高等学校博士学科点专项科研基金资助项目(2012018113001);中央高校基本科研业务费专项资金资助项目(2014SCU11009)
- DOI：10.7652/xjtuxb201409016
  中图分类号： TH132
- 网络首发：2014-09-10，
  
  纸质出版：2014
- 稿件说明：
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蒲伟 1, 王家序 1, 2, 等. 卷吸速度方向与椭圆短轴成一夹角的弹流润滑渐近网格加密算法[J]. 西安交通大学学报, 2014,48(9):95-100.

Progressive Mesh Densification(PMD)Method in Elastohydrodynamic Lubrication of Elliptical Contacts with Arbitrary Entrainment[J]. 2014, 48(9): 95-100.
蒲伟 1, 王家序 1, 2, 等. 卷吸速度方向与椭圆短轴成一夹角的弹流润滑渐近网格加密算法[J]. 西安交通大学学报, 2014,48(9):95-100. DOI： 10.7652/xjtuxb201409016.

Progressive Mesh Densification(PMD)Method in Elastohydrodynamic Lubrication of Elliptical Contacts with Arbitrary Entrainment[J]. 2014, 48(9): 95-100. DOI： 10.7652/xjtuxb201409016.

摘要

针对数值求解卷吸速度方向与椭圆短轴成一夹角的重载薄膜弹流润滑问题

提出将渐进网格加密(progressive mesh densification

PMD)算法的思想应用于此类问题的求解

建立了此类问题雷诺方程的离散差分格式

运用快速傅里叶变换算法计算点接触弹性变形

采用PMD网格跳转方法加速迭代收敛

最后得到此类问题的完全数值解和油膜形状分布图

并与前人的实验数据进行了对比分析。结果表明:在重载薄膜润滑条件下

数值求解结果与前人的实验结果相一致; 与直接在最终网格上进行迭代相比

文中提出的方法可以在粗糙网格上迅速消除误差

为高密度网格提供更好的初值

从而使计算收敛速度提高1倍以上

证明了PMD算法在求解此类问题时具有良好的收敛性和有效性。

Abstract

To numerically solve the elastohydrodynamic lubrication problem that entraining velocity vector has an oblique angle with the minor axis of Hertzian contact ellipse under heavy loading and thin film lubrication conditions

the progressive mesh densification(PMD)method is used

and a discrete differential scheme for Reynolds equation is set up. The fast Fourier transform is adopted to calculate the elastic deformation for point contact

and the PMD method is used to accelerate the iterative convergence. Moreover

a complete numerical solution and the film thickness distribution are obtained and compared with the experimental results from literatures to validate the model. The results show that

under heavy loading and thin film lubrication conditions

this numerical solution is in accordance with the experimental results

proving that the PMD method is effective and has fine convergent behavior for solving this kind of problem.

关键词

Keywords

references

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HAMROCK B J, DOWSON D. Isothermal elastohydro-dynamic lubrication of point contacts: part I Theoretical formulation[J]. Journal of Lubrication Technology, 1976, 98(2): 223-228.

HAMROCK B J, DOWSON D. Isothermal elastohydro-dynamic lubrication of point contacts: part II Ellipticity parameter results[J]. Journal of Lubrication Technology, 1976, 98(3): 375-381.

朱东, 温诗铸, 郑林庆. 热弹性流体动力润滑椭圆接触问题的完全数值解[J]. 机械工程学报, 1984, 20(1): 1-15.

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ZHU Dong. On some aspects in numerical solution of thin-film and mixed EHL[J]. Proc Inst Mech Eng: Part J J Eng Tribol, 2007, 221(5): 561-579.

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AI Xiaolan. Numerical analysis of elastohydrodynamically lubricated line and point contacts with rough surfaces by using semi-system and multigrid methods[D]. Evanston, IL, USA: Northwestern University, 1993.

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ZHU Dong, HU Yuan-Zhong. Effects of rough surface topography and orientation on the characteristics of EHD and mixed lubrication in both circular and elliptical contacts[J]. Tribology Transactions, 2001, 44(3): 391-398.

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