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

发布时间：2018-06-04 07:17

本文选题：弹流润滑 + 快速算法　；参考：《郑州大学》2012年硕士论文

【摘要】：本文主要由重载点接触EHL快速算法研究和点接触EHL状态下的二次压力峰研究两部分组成。第一部分对重载点接触EHL快速算法进行了详细的理论分析和数值研究,在点接触EHL快速直接迭代算法的基础上提出了改进的具有三层循环迭代格式的复合直接迭代法,并将其运用到求解中、轻载及重载工况等温点接触弹流润滑问题中,通过大量算例验证了这一改进算法具有更好的计算收敛精度和更广的载荷适用范围。本文还考察了半带宽β的选取对膜厚计算精度的影响,结果表明半带宽β的变化对最小膜厚有一定的影响,对中心膜厚的影响却很小。在第二部分中,作者介绍了点接触EHL状态下的二次压力峰研究中所采用的最小二乘数据拟合方法,依据二次峰压力Pmax、速度参数U和载荷参数W之间的的变化关系选择了合适的拟合曲线。在分析大量数值算例的基础上,利用最小二乘法拟合出了重载点接触弹流的二次压力峰公式和赫兹中心压力公式。将拟合出的两公式用于求解新的算例,其中包括中、轻载算例以及重载算例,对比分析了两公式的计算精度和载荷适用范围,计算表明,它们的计算值与通过本文改进算法的计算值相对误差控制在±10%以内,从而验证了所提出公式的可行性和精确度。
[Abstract]:This paper mainly consists of two parts: the fast algorithm of point contact EHL under heavy load and the study of secondary pressure peak under point contact EHL state. In the first part, the theoretical analysis and numerical study of the EHL fast algorithm for heavy load point contact are carried out in detail. Based on the fast direct iterative algorithm of point contact EHL, an improved compound direct iteration method with three-layer cyclic iteration scheme is proposed. It is applied to solve the problem of isothermal point contact elastohydrodynamic lubrication under light and heavy load conditions. A large number of numerical examples show that the improved algorithm has better convergence accuracy and wider load application range. The influence of the selection of half bandwidth 尾 on the accuracy of film thickness calculation is also investigated. The results show that the change of half bandwidth 尾 has a certain influence on the minimum film thickness, but has little effect on the central film thickness. In the second part, the author introduces the least square data fitting method used in the study of the secondary pressure peak in the state of point contact EHL. A suitable fitting curve is selected according to the relationship between the quadratic peak pressure P _ max, velocity parameter U and load parameter W. Based on the analysis of a large number of numerical examples, the quadratic pressure peak formula and Hertz center pressure formula of point contact elastofluid under heavy load are fitted by the least square method. The two fitted formulas are used to solve new examples, including medium, light and heavy load examples. The calculation accuracy and load applicable range of the two formulas are compared and analyzed, and the calculation results show that, The relative error between their calculated values and those calculated by the improved algorithm in this paper is controlled within 卤10%, which verifies the feasibility and accuracy of the proposed formula.
【学位授予单位】：郑州大学
【学位级别】：硕士
【学位授予年份】：2012
【分类号】：TH117.2

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