基于区间模型的Y形密封圈可靠性分析
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摘要
该文利用基于区间模型的非概率可靠性分析方法,以某一规格的轴用Y圈为研究对象,对其非概率可靠性指标进行了研究;该文首先介绍了基于区间模型的非概率可靠性分析方法,然后对该规格Y形圈的非概率可靠性指标进行了研究,主要包括功能函数的拟合、基于区间模型的功能函数标准化及最后非概率可靠性指标的求解等内容;最后介绍影响非概率可靠性指标的主要因素。结果表明:当各不确定性参数在所述范围之内变化时,该规格的Y形圈在所述工况条件下的非概率可靠性指标η>1,说明当各不确定性参数在所述范围之内变化时,该规格的Y形圈在所述工况条件下,密封界面的接触压力始终大于油压,密封可靠,原则上不会失效;此外,一般情况下,影响非概率可靠性指标的主要因素有各随机因素分布区间的准确性、拟合所得的响应面函数的准确性以及优化方法(优化函数)的选择等。
In this paper, the non-probabilistic reliability index of a specification Y-ring was studied,using the non-probabilistic reliability analysis methodwhich is based on the interval model. Firstly, we introduced the non-probabilistic reliability analysis method which is based on the interval model.Secondly, we studied the non-probabilistic reliability index of the Y-ring, including the fit of the performance function,and the standardization of the performance function,and also the solving of the non-probabilistic reliability index.Last,the main factors influencing the non-probabilistic reliability index were introduced. The result showed that: the non-probabilistic reliability index of the Y-ring [η>1]it shows that:when each of the uncertain parameters vary within the range which is described in table 1, the contact pressure of the Y-ring is always greater than the oil pressure in sealing interface under the working conditions,so the Y-ring is reliable,and it will not failure in principle; Besides, generally, the main factors influencing the non-probabilistic reliability index are as follows: first, the interval distribution accuracy of every random factor, second, the accuracy of the response surface function, third, the choice of the optimization method.
In this paper, the non-probabilistic reliability index of a specification Y-ring was studied,using the non-probabilistic reliability analysis methodwhich is based on the interval model. Firstly, we introduced the non-probabilistic reliability analysis method which is based on the interval model.Secondly, we studied the non-probabilistic reliability index of the Y-ring, including the fit of the performance function,and the standardization of the performance function,and also the solving of the non-probabilistic reliability index.Last,the main factors influencing the non-probabilistic reliability index were introduced. The result showed that: the non-probabilistic reliability index of the Y-ring [η>1]it shows that:when each of the uncertain parameters vary within the range which is described in table 1, the contact pressure of the Y-ring is always greater than the oil pressure in sealing interface under the working conditions,so the Y-ring is reliable,and it will not failure in principle; Besides, generally, the main factors influencing the non-probabilistic reliability index are as follows: first, the interval distribution accuracy of every random factor, second, the accuracy of the response surface function, third, the choice of the optimization method.
引文
[1]郭书祥,吕震庙,冯元生.基于区间分析的结构非概率可靠性模型[J].计算力学学报,2002,18(1):56-60.
[2]陈江义,文蔚超,王迎佳.基于响应面方法的结构非概率可靠性分析[J].郑州大学学报,2015,36(5):121-124.
[3]曹鸿钧,段宝岩.基于凸集合模型的非概率可靠性研究[J].计算力学学报,2005,22(5):546-549.
[4]隋允康,宇慧萍.响应面方法的改进及其对工程优化的应用[M].北京:科学出版社,2010.
[5]G.E.P.Box,N.R.Draper.A Basis for the Selection of a Response Surface Design[J].Journal of American Statistical Association,1959,54:622-654.
[6]郭书祥,吕震宙.结构非概率可靠性指标的求解方法[J].计算力学学报,2005,22(2):227-221.
[7]Bai Y C,Han X,Jiang C,et al.A Response Surface-based Structural Reliability Analysis Method by Using Non-probability Convex Model[J].Applied Mathematical Modeling,2014,38:3834-3874.
[8]文尉超.基于非概率可靠性的起重机金属结构优化设计[D].郑州:郑州大学,2015.
[9]杨利红,张淳.基于MATLAB优化工具箱的行星齿轮传动优化设计[J].中国工程机械学报,2013,11(3):255-257.
[10]刘洋萍,陈永胜,郑月锋.应用MATLAB优化工具箱求解优化问题研究[J].赤峰学院学报,2015,31(10):27-28.
[2]陈江义,文蔚超,王迎佳.基于响应面方法的结构非概率可靠性分析[J].郑州大学学报,2015,36(5):121-124.
[3]曹鸿钧,段宝岩.基于凸集合模型的非概率可靠性研究[J].计算力学学报,2005,22(5):546-549.
[4]隋允康,宇慧萍.响应面方法的改进及其对工程优化的应用[M].北京:科学出版社,2010.
[5]G.E.P.Box,N.R.Draper.A Basis for the Selection of a Response Surface Design[J].Journal of American Statistical Association,1959,54:622-654.
[6]郭书祥,吕震宙.结构非概率可靠性指标的求解方法[J].计算力学学报,2005,22(2):227-221.
[7]Bai Y C,Han X,Jiang C,et al.A Response Surface-based Structural Reliability Analysis Method by Using Non-probability Convex Model[J].Applied Mathematical Modeling,2014,38:3834-3874.
[8]文尉超.基于非概率可靠性的起重机金属结构优化设计[D].郑州:郑州大学,2015.
[9]杨利红,张淳.基于MATLAB优化工具箱的行星齿轮传动优化设计[J].中国工程机械学报,2013,11(3):255-257.
[10]刘洋萍,陈永胜,郑月锋.应用MATLAB优化工具箱求解优化问题研究[J].赤峰学院学报,2015,31(10):27-28.