In-service structural load monitoring at critical locations based on flight data is a key technique for structural prognostic and health management system of the aircraft, and a robust and precise load model is important for load monitoring and fatigue life prediction of the aircraft. Based on multi-linear regression analysis, an approach for synthetically screening the optimal combination of input variables is presented and introduced in detail. First, the multi-collinearity diagnosis should be conducted to attenuate the multi-collinearity between independent variables. Then, residual analysis is carried out to remove abnormal observations. Finally, stepwise regression is used to find the best combination of independent variables. Traditional multi-collinearity diagnosis methods have some defects, so two more feasible methods are put forward to reduce multi-collinearity based on partial correlation coefficient method and auxiliary regression equation method, respectively. As a case study, the load and stress data at a critical wing attachment bulkhead location of a typical fighter are used to illustrate the procedures of screening the optimal combination of input variables. It is proved that the approach can not only ensure the accuracy of aircraft structural load model, but also improve the stability and robustness of the model.
DUI Hongna
,
WANG Yongjun
,
DONG Jiang
,
LIU Xiaodong
. Optimal regression model for aircraft structural load based on flight data[J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2018
, 39(11)
: 222158
-222167
.
DOI: 10.7527/S1000-6893.2018.22158
[1] WHITE E. Progress in structural health management for aerospace vehicles[C]//Presented to Los Alamos National Lab Damage Prognosis Workshop, 2001.
[2] GARCIA W, BAIR R. F-22 force management overcoming challenges to maintain a robust usage tracking program[C]//2006 USAF ASIP Conference, 2006.
[3] FALLON T, MAHAL D. F-35 joint strike fighter structural prognostics and health management: An overview[C]//25th ICAF Symposium, 2009.
[4] MICHAEL R, MCCONNELL W. Structural Prognostics and Health Management (SPHM) for the F-35 Lightning Ⅱ[C]//2009 Aircraft Structural Integrity Program (ASIP) Conference, 2009.
[5] HUNT S, HEBDEN I. Eurofighter 2000: An integrated approach to structural health and usage monitoring[C]//Proceedings 19th Symposium of the International Committee on Aeronautical Fatigue: Fatigue in New and Aging Aircraft, 1997.
[6] HUNT S, HEBDEN I. Validation of the Eurofighter Typhoon structural health and usage monitoring system[C]//European COST F3 Conference on System Identification and Structural Monitoring, 2000: 743-753.
[7] AKTEPE B, MOLENT L. Management of airframe fatigue through individual aircraft loads monitoring programs[C]//Proceedings 8th International Aerospace Congress, 1999.
[8] MOLENT L. A unified approach to fatigue usage monitoring of fighter aircraft based on F/A-18 experience[C]//Proceedings 21st Congress of the International Council of Aeronautical Sciences, 1998.
[9] MOLENT L, AKTEPE B. Review of fatigue monitoring of agile military aircraft[J]. Fatigue and Fracture of Engineering Materials and Structures, 2000, 23(9): 767-785.
[10] TIKKA J, SALONEN T. Parameter based fatigue life analysis for F-18 aircraft[C]//24th ICAF Symposium, 2007.
[11] KANEKO H, FURUKAWA T. Operational loads regression equation development for advanced fighter aircraft[C]//24th International Congress of the Aeronautical Sciences, 2004.
[12] CARUSO P. Verification of IAT program equations[C]//2008 USAF ASIP Conference, 2008.
[13] KUMAR R, GANGULI R, OMKAR S. Rotorcraft parameter identification from real time flight data[J]. Journal of Aircraft, 2009, 45(1): 333-341.
[14] KOUBA G, BOTEZ R. Fuzzy logic method use in F/A-18 aircraft model identification[J]. Journal of Aircraft, 2010, 47(1): 10-17.
[15] WANG Y J, DONG J, LIU X D, et al. Identification and standardization of maneuvers based upon operational flight data[J]. Chinese Journal of Aeronautics, 2015, 28(1): 133-140.
[16] WITTINK D R. The application of regression analysis[M]. Boston: Allyn and Bacon, 1988: 58-98.
[17] MONTGOMERY D. ELIZABETH A P. Introduction to linear regression analysis[M]. Hoboken, NJ: John Wiley & Sons, 2007: 102-150.
[18] 高惠璇. 应用多元统计分析[M]. 北京: 北京大学出版社, 2005: 45-89. GAO H X. Application of multivariate statistical analysis[M]. Beijing: Peking University Press, 2005: 45-89 (in Chinese).
[19] 师义民, 徐伟, 秦超英, 等. 数理统计[M]. 北京: 科学出版社, 2009: 199-208. SHI Y M, XU W, QIN C Y, et al. Mathematical statistics[M]. Beijing: Science Press, 2009: 199-208 (in Chinese).