| 广义疲劳等寿命曲线与二维疲劳极限概率分布 |
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| 引用本文： | 熊峻江,武哲,高镇同.广义疲劳等寿命曲线与二维疲劳极限概率分布[J].应用数学和力学,2002,23(10):1055-1060. |
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| 作者姓名： | 熊峻江 武哲 高镇同 |
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| 作者单位： | 北京航空航天大学飞机设计所, 北京 100083 |
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| 基金项目： | 国家自然科学基金资助项目 (5 0 0 0 5 0 0 3)，航空基金部分资助项目 (0 1A5 10 11) |
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| 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.
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| 关 键 词： | 疲劳极限 广义等寿命曲线 二维配对升降法 |
| 文章编号： | 1000-0887(2002)10-1055-06 |
| 收稿时间： | 2001-03-27 |
| 修稿时间： | 2001年3月27日 |
Generalized Fatigue Constant Life Curve and Two-Dimensional Probability Distribution of Fatigue Limit |
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| XIONG Jun_jiang,WU Zhe,GAO Zhen_tong.Generalized Fatigue Constant Life Curve and Two-Dimensional Probability Distribution of Fatigue Limit[J].Applied Mathematics and Mechanics,2002,23(10):1055-1060. |
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| Authors: | XIONG Jun_jiang WU Zhe GAO Zhen_tong |
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| Institution: | Aircraft Design Bureau, Beijing University of Aeronautics and Astronautics, Beijing 100083, P R China |
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| 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. |
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| Keywords: | fatigue limit generalized constant life curve two dimension up_down method |
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