To research the robust optimization problem of aircraft local hydraulic piping system in uncertain environment, a dimension-reduction pretreatment method based on importance measure is presented. The interval model is used to describe the uncertainty of the random variable distribution (i.e., design variables), and the importance measure based on variance is introduced to measure the contribution of design variables to the optimization goal. The design variables which have large effect on the optimization goal are then screened out, and the optimization model is simplified. The proposed method can reduce the dimension of optimization problem and thus the cost of calculation dramatically. A numerical example is provided to illustrate the rationality and feasibility of the proposed method, and the robust optimization problem of the local aircraft hydraulic piping system is solved with the method.
ZHANG Zheng
,
ZHOU Changcong
,
DAI Zhihao
,
REN Zhexian
,
YUE Zhufeng
. Robust optimization of hydraulic piping system based on importance measure dimension-reduction[J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2018
, 39(8)
: 421902
-421902
.
DOI: 10.7527/S1000-6893.2018.21902
[1] SUN X Q, VOLKER G, SEBASTIAN W. Robustness analysis metrics for worldwide airport network:A comprehensive study[J]. Chinese Journal of Aeronautics, 2017,30(2):500-512.
[2] 李洪双. 概率不确定性分析及优化设计方法研究[D]. 西安:西北工业大学, 2008. LI H S. Research on probabilistic uncertainty analysis and design optimization methods[D]. Xi'an:Northwestern Polytechnical University, 2008(in Chinese).
[3] LI H S, MA C. Hybrid dimension-reduction method for robust design optimization[J]. AIAA Journal, 2012, 51(1):138-144.
[4] HUANG B Q, DU X P. Analytical robustness assessment for robust design[J]. Structural and Multidisciplinary Optimization, 2007, 34(2):123-137.
[5] TAGUCHI G. Taguchi on robust technology development:bringing quality engineering upstream[M]. New York:American Society of Mechanical Engineers, 1993:41-46.
[6] TAGUCHI G, CHOWDHURY S, TAGUCHI S. Robust engineering:Learn how to boost quality while reducing cost & time to market[M]. McGraw-Hill Book Co., 1999, 1:241.
[7] PARK G J, LEE T H, LEE K H, et al. Robust design:An overview[J]. AIAA Journal, 2006, 44(1):181-191.
[8] DU X P, CHEN W. Towards a better understanding of modeling feasibility robustness in engineering design[J]. Journal of Mechanical Design, 2000, 122(4):385-394.
[9] SHAN S, WANG G G. Survey of modeling and optimization strategies to solve high-dimensional design problems with computationally-expensive black-box functions[J]. Structural and Multidisciplinary Optimization, 2010, 41(2):219-241.
[10] LI X, WANG S. Flow field and pressure loss analysis of junction and its structure optimization of aircraft hydraulic pipe system[J]. Chinese Journal of Aeronautics, 2013, 26(4):1080-1092.
[11] 刘伟, 曹刚, 翟红波, 等. 发动机管路卡箍位置动力灵敏度分析与优化设计[J]. 航空动力学报, 2012, 27(12):2756-2762. LIU W, CAO G, ZHAI H B, et al. Sensitivity analysis and dynamic optimization design of supports' positions for engine pipelines[J]. Journal of Aerospace Power, 2012, 27(12):2756-2762(in Chinese).
[12] CHO H. Efficient variable screening method and confidence-based method for reliability-based design optimization[M]. Iowa:The University of Iowa, 2014:14-23.
[13] ZHOU C, LU Z, LI L, et al. A new algorithm for variance based importance analysis of models with correlated inputs[J]. Applied Mathematical Modelling, 2013, 37(3):864-875.
[14] 王文选, 高行山, 周长聪. 基于点估计的矩独立重要性测度分析方法[J]. 机械工程学报, 2017, 53(8):16-24. WANG W X, GAO H S, ZHOU C C. Moment-independent importance measure analysis method based to point-estimate[J]. Journal of Mechanical Engineering, 2017, 53(8):16-24(in Chinese).
[15] ZHOU C C, TANG C H, LIU F C, et al. Regional moment-independent sensitivity analysis with its applications in engineering[J]. Chinese Journal of Aeronautics, 2017, 30(3):1031-1042.
[16] 祁俊威, 王春洁, 丁建中. 基于降维算法和等效杆长的可展结构精度分析[J]. 航空学报, 2017, 38(6):143-150. QI J W, WANG C J, DING J Z.Precision analysis of deployable structures based on dimension reduction method and effective link length[J]. Acta Aeronautica et Astronautica Sinica, 2017, 38(6):143-150(in Chinese).
[17] FU G, KAPELAN Z, REED P. Reducing the complexity of multiobjective water distribution system optimization through global sensitivity analysis[J]. Journal of Water Resources Planning and Management, 2011, 138(3):196-207.
[18] WANG P, LU Z Z, CHENG L. Importance measures for imprecise probability distributions and their sparse grid solutions[J]. Science China Technological Sciences, 2013, 56(7):1733-1739.
[19] LUTES L D, SARKANI S. Reliability analysis of systems subject to first-passage failure:NASA/CR-2009-215782[R]. Washington,D.C.:NASA; 2009.
[20] 刘伟, 刘永寿, 李宝辉. 飞机管道系统动强度可靠性分析与优化设计[M]. 北京:科学出版社, 2014:181-191. LIU W, LIU Y S, LI B H.Dynamic strength reliability analysis and optimization design of aircraft piping system[M]. Beijing:Science Press, 2014:181-191(in Chinese).
[21] BEN-HAIM Y. A non-probabilistic concept of reliability[J]. Structural Safety, 1994, 14(4):227-245.
[22] LI L Y, LU Z Z, LI W. State dependent parameter method for importance analysis in the presence of epistemic and aleatory uncertainties[J]. Science China Technological Sciences, 2012, 55(6):1608-1617.
[23] 郭书祥, 吕震宙, 冯元生. 基于区间分析的结构非概率可靠性模型[J]. 计算力学学报, 2001, 18(1):56-60. GUO S X, LU Z Z, FENG Y S. A non-probabilistic model of structure reliability based on interval analysis[J]. Chinese Journal of Computational Mechanics, 2001, 18(1):56-60(in Chinese).
[24] ZHANG H, MULLEN R L, MUHANNA R L. Structural analysis with probability-boxes[J]. International Journal of Reliability and Safety, 2011, 6(1-3):110-129.
[25] BEER M, FERSON S, KREINOVICH V. Imprecise probabilities in engineering analyses[J]. Mechanical Systems and Signal Processing, 2013, 37(1):4-29.