Reconstruction of the Probabilistic S-N Curves Under Fatigue Life Following Lognormal Distribution With a Given Confidence
-
摘要: 当概率疲劳S-N曲线以特定存活概率(P)和置信度(C)的方式给出并无法重做试验时,除特定P-C外无法做其它概率水平的可靠性分析.因此,需要广泛适用的曲线模型.建立了疲劳寿命服从对数正态分布时疲劳试验S-N数据及广义曲线的Monte Carlo模拟重构方法.为了避免现有人为放大样本到数千给出偏危险评价,从实际试验情况出发,采用了材料小试样每组样本7至20、结构试样每组样本至多10个、还原统计参量误差小于5%的模拟策略.然后,依据模拟数据利用回归法重建了可实现任意P-C水平可靠性分析的P-C-S-N曲线.铁路60Si2Mn高强度弹簧钢概率曲线的重构实践说明了方法的有效性与适用性.
-
关键词:
- 疲劳 /
- 概率S-N曲线 /
- 重构 /
- Monte Carlo模拟
Abstract: When the historic probabilistic S-N curves were given under special survival probability and confidence levels and there is no possibility to retest, fatigue reliability analysis at other levels can not be done except for the special levels. Therefore, the widely applied curves are expected. Monte Carlo reconstruction methods of the test data and the curves are investigated under fatigue life following lognormal distribution. To overcome the non-conservative assessment of existent man-made enlarging the sample size up to thousands, a simulation policy is employed to address the true production which the sample size is controlled less than 20 for material specimens, 10 for structural component specimens and the errors matching the statistical parameters less than 5%. Availability and feasibility of the present methods have been indicated by the reconstruction practice of the test data and curves for 60Si2Mn high strength spring steel of railway industry.-
Key words:
- fatigue /
- probabilistic S-N curves /
- reconstruction /
- Monte Carlo simulation
-
[1] 铁道部科学研究院金属及化学研究所. 铁路常用材料P-S-N曲线及Goodman图手册[R]. 北京:铁道部科学研究院金属及化学研究所, 1999. [2] Chamis C C.Probabilistic simulation of multi-scale composite behavior[J].Theoretical and Applied Fracture Mechanics,2004,41(1/3):51-61. doi: 10.1016/j.tafmec.2003.11.005 [3] Todinov M T. Probability distribution of fatigue life controlled by defects[J].Computers and Structures,2001,79(3):313-318. doi: 10.1016/S0045-7949(00)00135-8 [4] Mao H Y,Mahadevan S. Reliability analysis of creep-fatigue failure[J].International Journal of Fatigue,2000,22(9):789-797. doi: 10.1016/S0142-1123(00)00046-3 [5] Sun Z, Daniel I M, Luo J J. Modeling of fatigue damage in a polymer matrix composite[J].Materials Science and Engineering,A2003,361(1/2):302-311. [6] Rajasankar J, Iyer N R, Rao T V S R A. Structural integrity assessment of offshore tubular joints based on reliability analysis[J].International Journal of Fatigue,2003,25(7):609-619. doi: 10.1016/S0142-1123(03)00021-5 [7] Luo J, Bowen P. A probabilistic methodology for fatigue life prediction[J].Acta Materialia,2003,51(12):3537-3550. doi: 10.1016/S1359-6454(03)00172-1 [8] Lassen T, Srensen J D.A probabilistic damage tolerance concept for welded joints—Part 1: data base and stochastic modeling[J].Marine Structures,2002,15(6):599-613. doi: 10.1016/S0951-8339(02)00020-5 [9] Khaleel M A, Simonen F A.A model for predicting vessel failure probabilities including the effects of service inspection and flaw sizing errors[J].Nuclear Engineering and Design,2000,200(3):353-369. doi: 10.1016/S0029-5493(00)00244-2 [10] Siddiqui N A, Ahmad S. Fatigue and fracture reliability of TLP tethers under random loading[J].Marine Structures,2001,14(3):331-352. doi: 10.1016/S0951-8339(01)00005-3 [11] 魏建锋,郑修麟,丁召荣. 变幅载荷下疲劳寿命预测及其模拟结果[J].机械强度,1999,21(1):66-68. [12] 濮进. 长寿命区疲劳寿命概率分布[J].机械强度,2001,23(1):43-46. [13] 叶乃全,胡毓仁,陈伯真.超静定结构系统疲劳可靠性分析的蒙特卡洛方法[J].上海交通大学学报, 1998,32(11):8-12. [14] 丁克勤,柳春图.海洋平台E362Z35钢表面疲劳裂纹扩展速率的蒙特卡洛模拟[J]. 海洋工程, 1998,16(2):90-95. [15] 赵永翔,杨冰, 彭佳纯,等. 概率疲劳极限与可靠性曲线的Monte Carlo模拟重构技术[R]. 成都:西南交通大学牵引动力实验室,2005. [16] 赵永翔,高庆,王金诺.估计三种常用应力-寿命模型概率设计S-N曲线的统一方法[J].核动力工程,2001,22(1):42-52.
点击查看大图
计量
- 文章访问数: 2867
- HTML全文浏览量: 75
- PDF下载量: 666
- 被引次数: 0