一种更加高效的求解点接触弹流润滑问题的直接迭代算法及研究
发布时间：2018-08-02 11:17
【摘要】：本文研究点接触弹性流体动力润滑问题的快速算法,共分六章。 第一章回顾了弹流动力润滑的发展史,重点对点接触EHL发展过程中的几种主流算法进行了分析和评述,提出了本文研究与选题的意义和重要性。 第二章介绍了等温点接触EHL的基本方程,并详细介绍了本文算法的研究基础——复合直接迭代法。 第三章提出了一种更加高效的求解点接触弹流润滑问题的直接迭代算法——带状算法,通过大量算例,证明了新算法的可行性、正确性与精确性。 第四章研究第三章提出的新算法的效率及其影响因素,通过大量算例证明本文新算法较复合直接迭代法运算效率可提高几十倍,且随着计算区域网格划分的加密优势愈加明显；并发现当压力系数矩阵半带宽取为满阵的22%-25%时,新算法具有最佳的收敛速度和载荷范围。 第五章将新算法用于重载点接触EHL计算,给出了七组算例,获得了点接触EHL的典型特征,证明本文新算法可适用于重载工况,打破了“直接迭代算法不适用于重载弹流问题研究”的传统看法。 第六章对全文主要工作进行了总结,并提出了以后工作的若干设想。
[Abstract]:In this paper, a fast algorithm for point contact elastohydrodynamic lubrication is studied, which is divided into six chapters. The first chapter reviews the history of elastohydrodynamic lubrication (EHL), analyzes and comments several mainstream algorithms in the development of point-contact EHL, and points out the significance and importance of the research and topic selection in this paper. In the second chapter, the basic equation of isothermal point contact EHL is introduced, and the research foundation of this algorithm, the compound direct iteration method, is introduced in detail. In chapter 3, a more efficient direct iterative algorithm for solving point contact elastohydrodynamic lubrication problem, the strip algorithm, is proposed. The feasibility, correctness and accuracy of the new algorithm are proved by a large number of numerical examples. Chapter 4 studies the efficiency of the new algorithm proposed in Chapter 3 and its influencing factors. Through a large number of examples, it is proved that the new algorithm can improve the efficiency of the new algorithm by tens of times compared with the compound direct iteration method, and the encryption advantage of the new algorithm becomes more and more obvious with the grid generation in the computing area. It is also found that the new algorithm has the best convergence speed and load range when the half bandwidth of the pressure coefficient matrix is 22% -25% of the full matrix. In chapter 5, the new algorithm is applied to the calculation of heavy-load point contact EHL. Seven examples are given, and the typical characteristics of point contact EHL are obtained. It is proved that the new algorithm is suitable for heavy-load working conditions. It breaks the traditional view that the direct iterative algorithm is not suitable for the study of heavy load elastohydrodynamic problems. The sixth chapter summarizes the main work of the paper and puts forward some ideas for future work.
【学位授予单位】：郑州大学
【学位级别】：硕士
【学位授予年份】：2011
【分类号】：TH117.2
本文编号：2159255
[Abstract]:In this paper, a fast algorithm for point contact elastohydrodynamic lubrication is studied, which is divided into six chapters. The first chapter reviews the history of elastohydrodynamic lubrication (EHL), analyzes and comments several mainstream algorithms in the development of point-contact EHL, and points out the significance and importance of the research and topic selection in this paper. In the second chapter, the basic equation of isothermal point contact EHL is introduced, and the research foundation of this algorithm, the compound direct iteration method, is introduced in detail. In chapter 3, a more efficient direct iterative algorithm for solving point contact elastohydrodynamic lubrication problem, the strip algorithm, is proposed. The feasibility, correctness and accuracy of the new algorithm are proved by a large number of numerical examples. Chapter 4 studies the efficiency of the new algorithm proposed in Chapter 3 and its influencing factors. Through a large number of examples, it is proved that the new algorithm can improve the efficiency of the new algorithm by tens of times compared with the compound direct iteration method, and the encryption advantage of the new algorithm becomes more and more obvious with the grid generation in the computing area. It is also found that the new algorithm has the best convergence speed and load range when the half bandwidth of the pressure coefficient matrix is 22% -25% of the full matrix. In chapter 5, the new algorithm is applied to the calculation of heavy-load point contact EHL. Seven examples are given, and the typical characteristics of point contact EHL are obtained. It is proved that the new algorithm is suitable for heavy-load working conditions. It breaks the traditional view that the direct iterative algorithm is not suitable for the study of heavy load elastohydrodynamic problems. The sixth chapter summarizes the main work of the paper and puts forward some ideas for future work.
【学位授予单位】：郑州大学
【学位级别】：硕士
【学位授予年份】：2011
【分类号】：TH117.2
【引证文献】
相关硕士学位论文 前1条
1 米俊;重载点接触EHL快速算法及点接触EHL状态下二次压力峰研究[D];郑州大学;2012年
，本文编号：2159255
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