Analysis of fatigue characteristics of small samples based on the principle of sample information aggregation
CSTR:
Author:
Clc Number:

TH114

  • Article
  • | |
  • Metrics
  • |
  • Reference [17]
  • |
  • Related [20]
  • | | |
  • Comments
    Abstract:

    In order to guide the fatigue test of small samples and find the best fitting method of S-N curve under small samples, an improved classical sample information aggregation method is proposed. Based on the consistency of the fatigue life probability quantiles of the specimens under different stress levels, data sharing and fusion methods are adopted to realize the application of sample data information aggregation under different stress levels. According to the linear relationship between stress and fatigue life, the improved sample information aggregation method is used to parameterize and gradually search the average fatigue life under each stress level in the small sample data to obtain the optimal value of fatigue life under different stress levels. The least squares method is used to fit the S-N curve. The fatigue characteristics of the S-N curve are compared and analyzed with different stress levels as the benchmark. The comparison and analysis results show that the maximum relative error of the curves fitted with the improved method and the traditional group method is less than 5%, and the range of predicted fatigue life error is the smallest, which shows that the improved method promotes the reliability of fatigue analysis of small samples.

    Reference
    [1] 刘旭,张开林,刘斌,等.基于缺口应力法的焊接接头多轴疲劳分析[J].重庆大学学报, 2017, 40(4):9-17. Liu X, Zhang K L, Liu B, et al. The multi-axle fatigue analysis of welded joints based on Notch stress method[J]. Journal of Chongqing University, 2017, 40(4):9-17.(in Chinese)
    [2] 林腾蛟,沈亮,赵俊渝.风电增速箱输出级齿轮副疲劳寿命有限元分析[J].重庆大学学报, 2012, 35(1):1-6. Lin T J, Shen L, Zhao J Y. Fatigue life finite element analysis of output gear pair of wind turbine speed-increase gearbox[J]. Journal of Chongqing University, 2012, 35(1):1-6.(in Chinese)
    [3] 林腾蛟,钟声,沈亮.圆柱齿轮齿根三维裂纹扩展分析及寿命预测[J].重庆大学学报, 2012, 35(11):1-7. Lin T J, Zhong S, Shen L. Three-dimensional crack propagation simulation and life prediction in tooth root of cylindrical gear[J]. Journal of Chongqing University, 2012, 35(11):1-7.(in Chinese)
    [4] 胡建军,许洪斌,高孝旺,等.威布尔分布随机载荷下齿轮弯曲疲劳试验分析[J].重庆大学学报, 2012, 35(11):34-39. Hu J J, Xu H B, Gao X W, et al. Experimental study of gear bending fatigue strength under random load according to three-parameter Weibull distribution[J]. Journal of Chongqing University, 2012, 35(11):34-39.(in Chinese)
    [5] Baptista C, Reis A, Nussbaumer A. Probabilistic S-N curves for constant and variable amplitude[J]. International Journal of Fatigue, 2017, 101:312-327.
    [6] Leonetti D, Maljaars J, Snijder H H. Fitting fatigue test data with a novel S-N curve using frequentist and Bayesian inference[J]. International Journal of Fatigue, 2017, 105:128-143.
    [7] Barbosa J F, Carlos Silverio Freire R Jr, Correia J A, et al. Analysis of the fatigue life estimators of the materials using small samples[J]. The Journal of Strain Analysis for Engineering Design, 2018, 53(8):699-710.
    [8] Shao Y H, Lu P, Wang B H. Analysis of fatigue characteristics of small samples[J]. Fracture and Structural Integrity, 2019, 13(48):757-767.
    [9] 赵永翔,王金诺,高庆.估计三种常用疲劳应力-寿命模型P-S-N曲线的统一经典极大似然法[J].应用力学学报, 2001, 18(1):83-90, 160. Zhao Y X, Wang J N, Gao Q. A unified classical maximum likelihood approach for estimating P-S-N curves of three commonly used fatigue stress-life relations[J]. Chinese Journal of Applied Mechanics, 2001, 18(1):83-90, 160.(in Chinese)
    [10] 傅惠民,张勇波,王治华.极小子样加速寿命试验设计和可靠性分析方法[J].机械强度, 2013, 35(1):22-27. Fu H M, Zhang Y B, Wang Z H. Method for accelerated life test design and reliability analysis with very small sample[J]. Journal of Mechanical Strength, 2013, 35(1):22-27.(in Chinese)
    [11] 傅惠民,刘成瑞. S-N曲线和P-S-N曲线小子样测试方法[J].机械强度, 2006, 28(4):552-555. Fu H M, Liu C R. Small sample test method for s-n and p-s-n curves[J]. Journal of Mechanical Strength, 2006, 28(4):552-555.(in Chinese)
    [12] 谢里阳,刘建中.样本信息聚集原理与P-S-N曲线拟合方法[J].机械工程学报, 2013, 49(15):96-104. Xie L Y, Liu J Z. Principle of sample polymerization and method of P-S-N curve fitting[J]. Journal of Mechanical Engineering, 2013, 49(15):96-104.(in Chinese)
    [13] 白恩军,黄树涛,谢里阳.威布尔分布下小样本P-S-N曲线拟合方法[J].西安交通大学学报, 2019, 53(9):96-101. Bai E J, Huang S T, Xie L Y. P-S-N curves fitting of small sample with fatigue lives obeying weibull distribution[J]. Journal of Xi'an Jiaotong University, 2019, 53(9):96-101.(in Chinese)
    [14] 刘建中,谢里阳.疲劳寿命概率分布的模糊贝叶斯确定方法[J].航空学报, 1994, 15(5):607-610. Liu J Z, Xie L Y, Xu H. Determining fatigue life reliability model with fuzzy judgment and bayes theory[J]. Acta Aeronautica et Astronautica Sinica, 1994, 15(5):607-610.(in Chinese)
    [15] 彭兆春.基于疲劳损伤累积理论的结构寿命预测与时变可靠性分析方法研究[D].成都:电子科技大学, 2017. Peng Z C. Research on methods for structural life prediction and time-dependent reliability analysis using cumulative fatigue damage theories[D]. Chengdu:University of Electronic Science and Technology of China, 2017.(in Chinese)
    [16] 邹德志,李凯.齿轮材料弯曲S-N曲线测试及拟合方法[J].汽车工艺与材料, 2018(2):50-54. Zou D Z, Li K. Testing and fitting method of gear material bending S-N curve[J]. Automobile Technology & Material, 2018(2):50-54.(in Chinese)
    [17] 李舜酩.机械疲劳与可靠性设计[M].北京:科学出版社, 2006. Li S M. Mechanical fatigue and reliability design[M]. Beijing:Science Press, 2006.(in Chinese)
    Cited by
    Comments
    Comments
    分享到微博
    Submit
Get Citation

刘坤,张拓,刘昶,石万凯,何爱民,孙义忠.基于样本信息聚集原理的小子样疲劳特性分析[J].重庆大学学报,2022,45(4):47~55

Copy
Share
Article Metrics
  • Abstract:483
  • PDF: 992
  • HTML: 952
  • Cited by: 0
History
  • Received:October 13,2020
  • Online: April 18,2022
Article QR Code