-
摘要:
起落架结构的寿命监控对保障其安全性与经济性具有重要作用,但由于地面谱复杂的高低载荷非线性交互作用,难以准确计算单机谱的损伤。以当量损伤计算方法为基础,通过对寿命监控中的单机谱进行初步筛选,判别单机谱与基准谱的相似程度,进而分析损伤计算方法的适用性。提出了一种基于时间序列分析中的动态时间弯曲方法的起落架载荷谱相似性判别方法,进行了基准谱与4个单机谱下的疲劳实验,通过分析损伤计算误差与起落架载荷谱相似距离的关系,验证所提载荷谱相似性判别方法的合理性。
Abstract:The life monitoring of the landing gear structure plays an important role in ensuring its safety and economy. However, it is difficult to accurately predict the fatigue damage of the individual spectrum due to the complex high-low load interaction of the ground spectrum. Therefore, based on the equivalent damage calculation method, the paper analyzes the similarity between the individual spectrum and the reference spectrum by analyzing the individual spectrum in the life monitoring, and then analyzes the applicability of the damage calculation method. An approach for comparing the similarity of landing gear load spectrum based on dynamic time warping method in time series analysis is proposed, and fatigue test under the reference spectrum and 4 individual spectra is conducted. By analyzing the relationship between the damage calculation error and the similar distance of the landing gear load spectrum, the rationality of the load spectrum similarity discrimination approach is verified.
-
表 1 寿命统计结果
Table 1. Statistics results of life
载荷谱 试件数 实验寿命/起落数 计算寿命/起落数 相对误差的绝对值/% 1 5 11 067 1-1 6 17 839 11 600 34.97 2 7 10 899 10 938 0.36 3 7 6 895 8 980 30.24 4 6 9 973 8 851 11.25 表 2 单机谱与基准谱之间的DTW距离
Table 2. DTW distance between individual spectrum and reference spectrum
载荷谱 1-1 2 3 4 DTW距离 421.5 9.1 134.9 23.5 表 3 不同载荷谱SSF结果
Table 3. SSF results of different load spectra
载荷谱 1 1-1 2 3 4 SSF 1.195 0.672 1.146 1.148 1.266 -
[1] 刘文珽, 王智, 隋福成.单机寿命监控技术指南[M].北京:国防工业出版社, 2010:7-32.LIU W T, WANG Z, SUI F C.Technical guide of individual aircraft fatigue monitoring[M].Beijing:National Defence of Industry Press, 2010:7-32(in Chinese). [2] 吉倩.飞机起落架疲劳可靠性分析方法研究[D].南京: 南京航空航天大学, 2007: 5-16.JI Q.Research on fatigue reliability analysis method of aircraft landing gear[D].Nanjing: Nanjing University of Aeronautics and Astronautics, 2007: 5-16(in Chinese). [3] MOLENT L, AKTEPE B.Review of fatigue monitoring of agile military aircraft[J]. Fatigue & Fracture of Engineering Materials & Structures, 2010, 23(9):767-785. http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=ceba083e2ae8d292196d875bdb400e82 [4] 亚伯·斯海维.结构与材料的疲劳[M].2版.吴学仁, 等, 译.北京: 航空工业出版社, 2014: 48-95.SCHIJVE J.Fatigue of structures and materials[M].2nd ed.WU X R, et al., translated.Beijing: Aviation Industry Press, 2014: 48-95(in Chinese). [5] TAO J X, SMITH S, DUFF A.The effect of overloading sequences on landing gear fatigue damage[J].International Journal of Fatigue, 2009, 31(11-12):1837-1847. doi: 10.1016/j.ijfatigue.2009.03.012 [6] SKORUPA M.Load interaction effects during fatigue crack growth under variable amplitude loading-A literature review. Part I:Empirical trends[J]. Fatigue & Fracture of Engineering Materials & Structures, 1998, 21(8):987-1006. http://d.old.wanfangdata.com.cn/NSTLQK/NSTL_QKJJ028746433/ [7] FATEMI A, YANG L.Cumulative fatigue damage and life prediction theories:A survey of the state of the art for homogeneous materials[J]. International Journal of Fatigue, 1998, 20(1):9-34. doi: 10.1016/S0142-1123(97)00081-9 [8] SMITH K N, WATSON P, TOPPER T M. A stress-strain function for the fatigue of metals[J].Journal of Material, 1970, 5(4):767-778. http://cn.bing.com/academic/profile?id=9eed0d462308dfdc548f12c7b2853678&encoded=0&v=paper_preview&mkt=zh-cn [9] 王智, 刘文珽, 王磊.单机结构疲劳分散系数研究[J].机械强度, 2009, 31(1):150-154. doi: 10.3321/j.issn:1001-9669.2009.01.031WANG Z, LIU W T, WANG L.Study on the fatigue scatter factor for individual aircraft structure[J].Journal of Mechanical Strength, 2009, 31(1):150-154(in Chinese). doi: 10.3321/j.issn:1001-9669.2009.01.031 [10] 李唐, 贺小帆, 刘文珽.基于Fokker F27机群载荷谱损伤分散性计算分析[J].北京航空航天大学学报, 2015, 41(3):551-558. http://bhxb.buaa.edu.cn/CN/abstract/abstract13201.shtmlLI T, HE X F, LIU W T. Calculation and analysis of the scatter of load spectrum damage based on Fokker F27 airplanes[J]. Journal of Beijing University of Aeronautics and Astronautics, 2015, 41(3):551-558(in Chinese). http://bhxb.buaa.edu.cn/CN/abstract/abstract13201.shtml [11] 李唐.基于机群载荷谱损伤分散的严重载荷谱编制方法研究[D].北京: 北京航空航天大学, 2016: 30-36.LI T.A method of severe load spectrum development based on the variation of load spectrum damage in a fleet[D].Beijing: Beihang University, 2016: 30-36(in Chinese). [12] HEULER P, KLÄTSCHKE H. Generation and use of standardised load spectra and load-time histories[J]. International Journal of Fatigue, 2005, 27(8):974-990. doi: 10.1016/j.ijfatigue.2004.09.012 [13] FACCHINETTI M L. Fatigue damage of materials and structures assessed by Wöhler and Gassner frameworks:Recent insights about load spectra for the automotive[J].Procedia Engineering, 2018, 213:117-125. doi: 10.1016/j.proeng.2018.02.013 [14] 金甲, 姚卫星, 谢飞.疲劳载荷谱B氏等效与实验验证[J].航空科学技术, 2016, 27(7):57-63. http://d.g.wanfangdata.com.cn/Thesis_D01147500.aspxJIN J, YAO W X, XIE F.Equivalence of fatigue load spectra based on B-distance with experimental verification[J].Aeronautical Science & Technology, 2016, 27(7):57-63(in Chinese). http://d.g.wanfangdata.com.cn/Thesis_D01147500.aspx [15] BERNDT D J. Using dynamic time warping to find patterns in time series[C]//AAAI-94 Workshop on Knowledge Discovery in Databases(KDD-94).Palo Alto: AAAI, 1994: 359-370. [16] BERNDT D J, CLIFFORD J.Finding patterns in time series: A dynamic programming approach[M]//FAYYAD U M, PIATETSKY-SHAPIRO G, SMYTH P, et al.Advances in knowledge discovery and data mining.Menlo Park: AAAI, 1996: 229-248. [17] 傅颖, 郭晶云.基于动态时间规整的人体动作识别方法[J].电子测量技术, 2014, 37(3):69-72. doi: 10.3969/j.issn.1002-7300.2014.03.018FU Y, GUO J Y.Dynamic time warping-based human action recognition[J].Electronic Measurement Techonlogy, 2014, 37(3):69-72(in Chinese). doi: 10.3969/j.issn.1002-7300.2014.03.018 [18] 张建业, 张鹏.飞行数据的时间序列分析方法及其应用[M].北京:国防工业出版社, 2013:45-167.ZHANG J Y, ZHANG P.Time series analysis methods and application for flight data[M].Beijing:National Defence of Industry Press, 2013:45-167(in Chinese). [19] 高镇同.疲劳应用统计学[M].北京:国防工业出版社, 1986:277-295.GAO Z T.Fatigue application statistics[M].Beijing:National Defence of Industry Press, 1986:277-295(in Chinese).