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Applied Mathematics and Mechanics (English Edition) ›› 2002, Vol. 23 ›› Issue (10): 1188-1193.

• 论文 • 上一篇    下一篇

GENERALIZED FATIGUE CONSTANT LIFE CURVE AND TWO-DIMENSIONAL PROBABILITY DISTRIBUTION OF FATIGUE LIMIT

熊峻江, 武哲, 高镇同   

  1. Aircraft Design Bureau, Beijing University of Aeronautics and Astronautics, Beijing 100083, P. R. China
  • 收稿日期:2001-03-27 修回日期:2002-04-23 出版日期:2002-10-18 发布日期:2002-10-18
  • 基金资助:
    the National Natural Science Foundation of China(50005003);the Aeronautics Science Foundation of China(01A51011)

GENERALIZED FATIGUE CONSTANT LIFE CURVE AND TWO-DIMENSIONAL PROBABILITY DISTRIBUTION OF FATIGUE LIMIT

XIONG Jun-jiang, WU Zhe, GAO Zhen-tong   

  1. Aircraft Design Bureau, Beijing University of Aeronautics and Astronautics, Beijing 100083, P. R. China
  • Received:2001-03-27 Revised:2002-04-23 Online:2002-10-18 Published:2002-10-18
  • Supported by:
    the National Natural Science Foundation of China(50005003);the Aeronautics Science Foundation of China(01A51011)

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摘要： 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.

关键词: fatigue limit, generalized constant life curve, two-dimensional up-down method

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.

Key words: fatigue limit, generalized constant life curve, two-dimensional up-down method

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