Sensitivity analysis for probabilistic anti-resonance design of aeronautical hydraulic pipelines
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摘要
In an uncertainty scheme, reliability and global sensitivity analysis is studied in this work, to provide helpful information for probabilistic anti-resonance design of vibration systems.Discussions show that the resonance failure problem can be viewed as a series system, in which input uncertainties are modeled by random variables. In order to quantitatively measure the contributions of input variables to the system reliability, a global sensitivity index is proposed, the properties of which are also discussed. Then the proposed index is tested with an aeronautical hydraulic pipeline system, which is under the excitation of pump vibration and at a risk of resonance failure. Sensitivity results under different failure criteria and variation coefficients are obtained and studied, from which significant and insignificant input variables can be identified.The proposed method provides a relatively new insight for anti-resonance design of engineering structures.
In an uncertainty scheme, reliability and global sensitivity analysis is studied in this work, to provide helpful information for probabilistic anti-resonance design of vibration systems.Discussions show that the resonance failure problem can be viewed as a series system, in which input uncertainties are modeled by random variables. In order to quantitatively measure the contributions of input variables to the system reliability, a global sensitivity index is proposed, the properties of which are also discussed. Then the proposed index is tested with an aeronautical hydraulic pipeline system, which is under the excitation of pump vibration and at a risk of resonance failure. Sensitivity results under different failure criteria and variation coefficients are obtained and studied, from which significant and insignificant input variables can be identified.The proposed method provides a relatively new insight for anti-resonance design of engineering structures.
In an uncertainty scheme, reliability and global sensitivity analysis is studied in this work, to provide helpful information for probabilistic anti-resonance design of vibration systems.Discussions show that the resonance failure problem can be viewed as a series system, in which input uncertainties are modeled by random variables. In order to quantitatively measure the contributions of input variables to the system reliability, a global sensitivity index is proposed, the properties of which are also discussed. Then the proposed index is tested with an aeronautical hydraulic pipeline system, which is under the excitation of pump vibration and at a risk of resonance failure. Sensitivity results under different failure criteria and variation coefficients are obtained and studied, from which significant and insignificant input variables can be identified.The proposed method provides a relatively new insight for anti-resonance design of engineering structures.
引文
1.Ouyang X,Gao F,Yang H,Wang H.Modal analysis of the aircraft hydraulic-system pipeline.J Aircraft 2012;49(4):1168-74.
2.Tang Z,Lu Z,Li D,Zhang F.Optimal design of the positions of the hoops for a hydraulic pipelines system.Nucl Eng Des 2011;241(12):4840-55.
3.Zhai H,Wu Z,Liu Y,Yue Z.The dynamic reliability analysis of pipe conveying fluid based on a refined response surface method.JVib Control 2015;21(4):790-800.
4.Modares M,Mullen RL,Muhanna RL.Natural frequencies of a structure with bounded uncertainty.J Eng Mech 2006;132(12):1363-71.
5.Wang L,Wang X,Xia Y.Hybrid reliability analysis of structures with multi-source uncertainties.Acta Mech 2014;225(2):413-30.
6.Zhou C,Tang C,Liu F,Wang W,Yue Z.Regional momentindependent sensitivity analysis with its applications in engineering.Chin J Aeronaut 2017;30(3):1031-42.
7.Zhou C,Lu Z,Zhang F.An adaptive reliability method combining relevance vector machine and importance sampling.Struct Multidiscip Optim 2015;52(5):945-57.
8.Wang X,Wang L,Qiu Z.A feasible implementation procedure for interval analysis method from measurement data.Appl Math Model 2014;38(9-10):2377-97.
9.Wang L,Xiong C,Wang X,Xu M,Li Y.A dimension-wise method and its improvement for multidisciplinary interval uncertainty analysis.Appl Math Model 2018;59:680-95.
10.Savage GJ,Zhang X,Son YK,Pandey MD.Reliability of mechanisms with periodic random modal frequencies using an extreme value-based approach.Reliab Eng Syst Safe2016;150:65-77.
11.Mo Y,Guo S,Tang C.A vibration reliability analysis method for the uncertain space beam structure.Shock Vib 2016;1:1-14.
12.Zhang Y,Liu Q,Wen B.Quasi-failure analysis on resonant demolition of random structural systems.AIAA J 2002;40(3):585-6.
13.Sofi A,Muscolino G,Elishakoff I.Natural frequencies of structures with interval parameters.J Sound Vib 2015;347:79-95.
14.Borgonovo E.A new uncertainty importance measure.Reliab Eng Syst Safe 2007;92(6):771-84.
15.Borgonovo E,Plischke E.Sensitivity analysis:A review of recent advances.Eur J Oper Res 2016;248(3):869-87.
16.Zhou C,Lu Z,Li L,Feng J,Wang B.A new algorithm for variance based importance analysis of models with correlated inputs.Appl Math Model 2013;37(3):864-75.
17.Zhou C,Lu Z,Li W.Sparse grid integration based solutions for moment-independent importance measures.Probabilist Eng Mech2015;39:46-55.
18.Li L,Lu Z,Feng J,Wang B.Moment-independent importance measure of basic variable and its state dependent parameter solution.Struct Saf 2012;38:40-7.
19.Su C,Zhang Y,Zhao Q.Vibration reliability sensitivity analysis of general system with correlation failure modes.J Mech Sci Technol2011;25(12):3123-33.
20.Yuan X,Lu Z,Zhou C,Yue Z.A novel adaptive importance sampling algorithm based on Markov chain and low-discrepancy sequence.Aerosp Sci Technol 2013;29(1):253-61.
21.Cui L,Lu Z,Zhao X.Moment-independent importance measure of basic random variable and its probability density evolution solution.Sci China Technol Sci 2010;53(4):1138-45.
22.Gao F.Investigation into the vibration characteristic of the pump and connected pipeline in the aircraft hydraulic system[dissertation].Hangzhou:Zhejiang University;2012[Chinese].
2.Tang Z,Lu Z,Li D,Zhang F.Optimal design of the positions of the hoops for a hydraulic pipelines system.Nucl Eng Des 2011;241(12):4840-55.
3.Zhai H,Wu Z,Liu Y,Yue Z.The dynamic reliability analysis of pipe conveying fluid based on a refined response surface method.JVib Control 2015;21(4):790-800.
4.Modares M,Mullen RL,Muhanna RL.Natural frequencies of a structure with bounded uncertainty.J Eng Mech 2006;132(12):1363-71.
5.Wang L,Wang X,Xia Y.Hybrid reliability analysis of structures with multi-source uncertainties.Acta Mech 2014;225(2):413-30.
6.Zhou C,Tang C,Liu F,Wang W,Yue Z.Regional momentindependent sensitivity analysis with its applications in engineering.Chin J Aeronaut 2017;30(3):1031-42.
7.Zhou C,Lu Z,Zhang F.An adaptive reliability method combining relevance vector machine and importance sampling.Struct Multidiscip Optim 2015;52(5):945-57.
8.Wang X,Wang L,Qiu Z.A feasible implementation procedure for interval analysis method from measurement data.Appl Math Model 2014;38(9-10):2377-97.
9.Wang L,Xiong C,Wang X,Xu M,Li Y.A dimension-wise method and its improvement for multidisciplinary interval uncertainty analysis.Appl Math Model 2018;59:680-95.
10.Savage GJ,Zhang X,Son YK,Pandey MD.Reliability of mechanisms with periodic random modal frequencies using an extreme value-based approach.Reliab Eng Syst Safe2016;150:65-77.
11.Mo Y,Guo S,Tang C.A vibration reliability analysis method for the uncertain space beam structure.Shock Vib 2016;1:1-14.
12.Zhang Y,Liu Q,Wen B.Quasi-failure analysis on resonant demolition of random structural systems.AIAA J 2002;40(3):585-6.
13.Sofi A,Muscolino G,Elishakoff I.Natural frequencies of structures with interval parameters.J Sound Vib 2015;347:79-95.
14.Borgonovo E.A new uncertainty importance measure.Reliab Eng Syst Safe 2007;92(6):771-84.
15.Borgonovo E,Plischke E.Sensitivity analysis:A review of recent advances.Eur J Oper Res 2016;248(3):869-87.
16.Zhou C,Lu Z,Li L,Feng J,Wang B.A new algorithm for variance based importance analysis of models with correlated inputs.Appl Math Model 2013;37(3):864-75.
17.Zhou C,Lu Z,Li W.Sparse grid integration based solutions for moment-independent importance measures.Probabilist Eng Mech2015;39:46-55.
18.Li L,Lu Z,Feng J,Wang B.Moment-independent importance measure of basic variable and its state dependent parameter solution.Struct Saf 2012;38:40-7.
19.Su C,Zhang Y,Zhao Q.Vibration reliability sensitivity analysis of general system with correlation failure modes.J Mech Sci Technol2011;25(12):3123-33.
20.Yuan X,Lu Z,Zhou C,Yue Z.A novel adaptive importance sampling algorithm based on Markov chain and low-discrepancy sequence.Aerosp Sci Technol 2013;29(1):253-61.
21.Cui L,Lu Z,Zhao X.Moment-independent importance measure of basic random variable and its probability density evolution solution.Sci China Technol Sci 2010;53(4):1138-45.
22.Gao F.Investigation into the vibration characteristic of the pump and connected pipeline in the aircraft hydraulic system[dissertation].Hangzhou:Zhejiang University;2012[Chinese].