一種更加高效的求解點(diǎn)接觸彈流潤滑問題的直接迭代算法及研究
發(fā)布時間：2018-08-02 11:17
【摘要】：本文研究點(diǎn)接觸彈性流體動力潤滑問題的快速算法,共分六章。 第一章回顧了彈流動力潤滑的發(fā)展史,重點(diǎn)對點(diǎn)接觸EHL發(fā)展過程中的幾種主流算法進(jìn)行了分析和評述,提出了本文研究與選題的意義和重要性。 第二章介紹了等溫點(diǎn)接觸EHL的基本方程,并詳細(xì)介紹了本文算法的研究基礎(chǔ)——復(fù)合直接迭代法。 第三章提出了一種更加高效的求解點(diǎn)接觸彈流潤滑問題的直接迭代算法——帶狀算法,通過大量算例,證明了新算法的可行性、正確性與精確性。 第四章研究第三章提出的新算法的效率及其影響因素,通過大量算例證明本文新算法較復(fù)合直接迭代法運(yùn)算效率可提高幾十倍,且隨著計算區(qū)域網(wǎng)格劃分的加密優(yōu)勢愈加明顯；并發(fā)現(xiàn)當(dāng)壓力系數(shù)矩陣半帶寬取為滿陣的22%-25%時,新算法具有最佳的收斂速度和載荷范圍。 第五章將新算法用于重載點(diǎn)接觸EHL計算,給出了七組算例,獲得了點(diǎn)接觸EHL的典型特征,證明本文新算法可適用于重載工況,打破了“直接迭代算法不適用于重載彈流問題研究”的傳統(tǒng)看法。 第六章對全文主要工作進(jìn)行了總結(jié),并提出了以后工作的若干設(shè)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.
【學(xué)位授予單位】：鄭州大學(xué)
【學(xué)位級別】：碩士
【學(xué)位授予年份】：2011
【分類號】：TH117.2
本文編號：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.
【學(xué)位授予單位】：鄭州大學(xué)
【學(xué)位級別】：碩士
【學(xué)位授予年份】：2011
【分類號】：TH117.2
【引證文獻(xiàn)】
相關(guān)碩士學(xué)位論文 前1條
1 米俊;重載點(diǎn)接觸EHL快速算法及點(diǎn)接觸EHL狀態(tài)下二次壓力峰研究[D];鄭州大學(xué);2012年
，本文編號：2159255
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