广义疲劳等寿命曲线与二维疲劳极限概率分布

基金项目: 国家自然科学基金资助项目(50005003);航空基金部分资助项目(01A51011)

Generalized Fatigue Constant Life Curve and Two-Dimensional Probability Distribution of Fatigue Limit

Aircraft Design Bureau, Beijing University of Aeronautics and Astronautics, Beijing 100083, P R China

摘要: 基于传统等寿命曲线,提出了广义疲劳等寿命Sa-Sm曲线概念,并找出该曲线的普遍表达式;根据相关系数优化法建立了该表达式的参数估计公式,并给出了具有可靠度p的广义疲劳等寿命P-Sa-Sm曲线公式;以广义P-Sa-Sm曲线为基础,导出了二维疲劳极限概率分布;进行了3组不同应力均值下的LY11CZ铝合金材料的二维配对升降法试验,试验结果验证了广义疲劳等寿命Sa-Sm曲线的合理性和算法的拟合精度.
- 疲劳极限 /
- 广义等寿命曲线 /
- 二维配对升降法
Abstract: According to the traditional fatigue constant life curve,the concept and the universal expression of the generalized fatigue constant life curve were proposed. Then,on the basis of the optimization method of the correlation coefficient,the parameter estimation formulas were induced and the generalized fatigue constant life curve with the reliability level p was given. From P-Sa-Sm curve,the two-dimensional probability distribution of the fatigue limit was derived. After then,three set of tests of LY11CZ corresponding to the different average stress were carried out in terms of the two-dimensional up-down method. Finally,the methods are used to analyze the test results,and it is found that the analyzed results with the high precision may be obtained.
- fatigue limit /
- generalized constant life curve /
- two dimension up-down method

[1]	高镇同. 疲劳应用统计学[M]. 北京:国防工业出版社,1986,336-343.
[2]	高镇同,熊峻江. 疲劳可靠性[M]. 北京:北京航空航天大学出版社,2000,366-372.
[3]	高镇同,蒋新桐,熊峻江,等. 疲劳性能试验设计与数据处理[M]. 北京:北京航空航天大学出版社,1999,21-23.
[4]	赵少汴,王忠保. 疲劳设计[M]. 北京:机械工业出版社,1992,48-51.
[5]	熊峻江,王三平,高镇同. 疲劳寿命估算的能量法及其实验研究[J]. 力学学报,2000,32(4):420-427.
[6]	熊峻江. 结构断裂可靠性"等损伤设计"方法及其实验研究[J].机械工程学报,2000,36(3):32-36.
[7]	熊峻江. 结构疲劳可靠性设计的"等损伤设计方法"[J]. 北京航空航天大学学报,1999,25(5):554-557.
[8]	凌静. 疲劳可靠性分析与设计[D]. 北京:北京航空航天大学研究生院,1989,37-73.
[9]	熊峻江,高镇同. 稳态循环载荷下结构疲劳可靠性分析技术[J]. 强度与环境,1996,23(4):16-20.