疲劳强度-寿命关系的概率密度演化方法
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摘要
基于疲劳强度随加载循环次数增加不断劣化的物理事实,采用Euler描述推导出疲劳强度与随机参数联合概率密度函数满足的演化方程。采用数值求解方法,给出疲劳强度-寿命概率密度曲面(probability density S-N),并可据此计算给定存活率的p-S-N曲线。基于疲劳试验结果的算例分析表明,疲劳强度-寿命概率密度曲面、MonteCarlo模拟及具有给定分位数参数的S-N关系三者计算的p-S-N曲线吻合良好。疲劳强度-寿命概率密度演化方法可不依赖分布假定给出S-N关系的完备概率描述。
Taking degradation of fatigue strength with increase in loading cycles into account,the joint probability density evolution equation of fatigue strength and random factors was derived using Euler description.A probability density S-N(p-S-N) surface was obtained with a numerical method,it was used to calculate the p-S-N curve with a given survivability.The analysis based on experimental fatigue data indicated that p-S-N curves with 95% survivability predicted by p-S-N,Monte Carlo simulation and S-N relation ship having parameters with a given fractile agree well;p-S-N provides a complete probability description of S-N relationship,independent of a probability distribution assumption.
Taking degradation of fatigue strength with increase in loading cycles into account,the joint probability density evolution equation of fatigue strength and random factors was derived using Euler description.A probability density S-N(p-S-N) surface was obtained with a numerical method,it was used to calculate the p-S-N curve with a given survivability.The analysis based on experimental fatigue data indicated that p-S-N curves with 95% survivability predicted by p-S-N,Monte Carlo simulation and S-N relation ship having parameters with a given fractile agree well;p-S-N provides a complete probability description of S-N relationship,independent of a probability distribution assumption.
引文
[1]Wirsching P H,Nguyen H P.Fatigue reliability:a review ofrecent advances[J].International Journal of Materials andProduct Technology,2001,16:285-294.
[2]姚卫星.结构疲劳寿命分析[M].北京:国防工业出版社,2003.
[3]高镇同,熊峻江.疲劳/断裂可靠性研究现状与展望[J].机械强度,1995,17(3):61-80.GAO Zhen-tong,XIONG Jun-jiang.The present situation andprospects for the fatigue/fracture reliability study[J].Journal of Mechanical Strength,1995,17(3):61-80.
[4]Kainuma S,Mori T.A fatigue strength evaluation method forload-carrying fillet welded cruciform joints[J].InternationalJournal of Fatigue,2006,28(8):864-872.
[5]Sonsino C M.Course of SN-curves especially in the high-cyclefatigue regime with regard to component design and safety[J].International Journal of Fatigue,2007,29(12):2246-2258.
[6]Baek S Y,Bae D H.Reliability assessment and prediction ofa fatigue design criterion for the gas-welded joints[J].Journal of Mechanical Science and Technology,2010,24(12):2497-2502.
[7]Zonfrillo G,Rossi A.A fuzzy approach for drawing S Ncurves in the finite life region[J].Fatigue&Fracture ofEngineering Materials&Structures,2011,34(11):868 876.
[8]Sonsino C M.Comparison of different local design conceptsfor the structural durability assessment of welded offshore K-nodes[J].International Journal of Fatigue,2012,34(1):27-34.
[9]Saiprasertkit K,Hanji T,Miki C.Local strain estimationmethod for low-and high-cycle fatigue strength evaluation[J].International Journal of Fatigue,2012,40:1-6.
[10]Li J,Chen J B.The principle of preservation of probabilityand the generalized density evolution equation[J].StructuralSafety,2008,30(1):65-77.
[11]李杰,陈建兵.随机结构非线性动力反应的概率密度演化分析[J].力学学报,2003,35(6):716-722.LI Jie,CHEN Jian-bing.The probability density evolutionmethod for analysis of dynamic nonlinear response ofstochastic structures[J].Acta Mechanica Sinica,2003,35(6):716-722.
[12]陈建兵,李杰.非线性随机结构动力可靠度的密度演化方法[J].力学学报,2004,36(2):196-201.CHEN Jian-bing,LI Jie.The probability density evolutionmethod for dynamic reliability assessment of nonlinearstochastic structures[J].Acta Mechanica Sinica,2004,36(2):196-201.
[13]陈建兵,李杰.随机结构动力可靠度分析的极值概率密度方法[J].地震工程与工程振动,2004,24(6):39-44.CHEN Jian-bing,LI Jie.The extreme value probability densityfunction based method for dynamic reliability assessment ofstochastic structures[J].Earthquake Engineering andEngineering Vibration,2004,24(6):39-44.
[14]Li J,Chen J B.The probability density evolution method fordynamic response analysis of non-linear stochastic structures[J].International Journal for Numerical Methods inEngineering,2006,65(6):882-903.
[15]郑修麟,陈德广,凌超.疲劳裂纹起始的超载效应与新的寿命估算模型[J].西北工业大学学报,1990,8(2):199-209.ZHENG Xiu-lin,CHEN De-guang.,LING Chao.Overloadingeffect on fatigue crack initiation in LY12-CZ alloy and a newmodel for life prediction[J].Journal of NorthwesternPolytechnical University,1990,8(2):199-209.
[16]Peterson R E.Stress Concentration Design Factors[M].JohnWiley,New York,1962.
[17]郑修麟,吕宝桐.确定疲劳强度概率分布和P-S-N曲线表达式的简便方法[J].机械强度,1992,14(3):60-65.ZHENG Xiu-lin,LBao-tong.A simple approach fordetermining probability distribution of fatigue strength andexpression of curves[J].Journal of Mechanical Strength,1992,14(3):60-65.
[2]姚卫星.结构疲劳寿命分析[M].北京:国防工业出版社,2003.
[3]高镇同,熊峻江.疲劳/断裂可靠性研究现状与展望[J].机械强度,1995,17(3):61-80.GAO Zhen-tong,XIONG Jun-jiang.The present situation andprospects for the fatigue/fracture reliability study[J].Journal of Mechanical Strength,1995,17(3):61-80.
[4]Kainuma S,Mori T.A fatigue strength evaluation method forload-carrying fillet welded cruciform joints[J].InternationalJournal of Fatigue,2006,28(8):864-872.
[5]Sonsino C M.Course of SN-curves especially in the high-cyclefatigue regime with regard to component design and safety[J].International Journal of Fatigue,2007,29(12):2246-2258.
[6]Baek S Y,Bae D H.Reliability assessment and prediction ofa fatigue design criterion for the gas-welded joints[J].Journal of Mechanical Science and Technology,2010,24(12):2497-2502.
[7]Zonfrillo G,Rossi A.A fuzzy approach for drawing S Ncurves in the finite life region[J].Fatigue&Fracture ofEngineering Materials&Structures,2011,34(11):868 876.
[8]Sonsino C M.Comparison of different local design conceptsfor the structural durability assessment of welded offshore K-nodes[J].International Journal of Fatigue,2012,34(1):27-34.
[9]Saiprasertkit K,Hanji T,Miki C.Local strain estimationmethod for low-and high-cycle fatigue strength evaluation[J].International Journal of Fatigue,2012,40:1-6.
[10]Li J,Chen J B.The principle of preservation of probabilityand the generalized density evolution equation[J].StructuralSafety,2008,30(1):65-77.
[11]李杰,陈建兵.随机结构非线性动力反应的概率密度演化分析[J].力学学报,2003,35(6):716-722.LI Jie,CHEN Jian-bing.The probability density evolutionmethod for analysis of dynamic nonlinear response ofstochastic structures[J].Acta Mechanica Sinica,2003,35(6):716-722.
[12]陈建兵,李杰.非线性随机结构动力可靠度的密度演化方法[J].力学学报,2004,36(2):196-201.CHEN Jian-bing,LI Jie.The probability density evolutionmethod for dynamic reliability assessment of nonlinearstochastic structures[J].Acta Mechanica Sinica,2004,36(2):196-201.
[13]陈建兵,李杰.随机结构动力可靠度分析的极值概率密度方法[J].地震工程与工程振动,2004,24(6):39-44.CHEN Jian-bing,LI Jie.The extreme value probability densityfunction based method for dynamic reliability assessment ofstochastic structures[J].Earthquake Engineering andEngineering Vibration,2004,24(6):39-44.
[14]Li J,Chen J B.The probability density evolution method fordynamic response analysis of non-linear stochastic structures[J].International Journal for Numerical Methods inEngineering,2006,65(6):882-903.
[15]郑修麟,陈德广,凌超.疲劳裂纹起始的超载效应与新的寿命估算模型[J].西北工业大学学报,1990,8(2):199-209.ZHENG Xiu-lin,CHEN De-guang.,LING Chao.Overloadingeffect on fatigue crack initiation in LY12-CZ alloy and a newmodel for life prediction[J].Journal of NorthwesternPolytechnical University,1990,8(2):199-209.
[16]Peterson R E.Stress Concentration Design Factors[M].JohnWiley,New York,1962.
[17]郑修麟,吕宝桐.确定疲劳强度概率分布和P-S-N曲线表达式的简便方法[J].机械强度,1992,14(3):60-65.ZHENG Xiu-lin,LBao-tong.A simple approach fordetermining probability distribution of fatigue strength andexpression of curves[J].Journal of Mechanical Strength,1992,14(3):60-65.
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