| Citation: | LIU Yanxu, LIU Baoguo, ZHANG Zhen, et al. Nonparametric modeling and dispersion parameter identification for uncertain rotor systems[J]. Journal of Aerospace Power, 2023, 38（10）：2527-2535 doi: 10.13224/j.cnki.jasp.20230065
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For rotor systems with uncertainty, an uncertain dynamic modeling method based on nonparametric modeling and matrix polar decomposition theory was proposed, and a method for identifying the dispersion parameters of the nonparametric dynamic model of the uncertain rotor system was also proposed. The nonparametric modeling method was verified by utilizing the rotor experimental platform. The results showed that at four observation points of the rotor system, when the rotor speed did not exceed 3 000 r/min, the mean value of the results of the nonparametric model almost coincided with the deterministic model. However, when the speed was close to the first critical speed, the mean value of the results obtained by the nonparametric uncertain dynamic calculation model was closer to the measured results. This study can provide a reference for the study of nonparametric modeling methods and corresponding dispersion parameter identification methods of two-rotor or multi-rotor systems with model uncertainty.
| [1] |
雷冰龙,李超,何康,等. 共用支承-转子系统耦合振动分析及试验[J]. 航空动力学报,2020,35(11): 2293-2305.
LEI Binglong,LI Chao,HE Kang,et al. Coupling vibration characteristics analysis and experiment of shared support-rotors system[J]. Journal of Aerospace Power,2020,35(11): 2293-2305. (in Chinese)
|
| [2] |
章健,张大义,王永锋,等. 共用支承-转子结构系统振动耦合特性分析[J]. 北京航空航天大学学报,2019,45(9): 1902-1910.
ZHANG Jian,ZHANG Dayi,WANG Yongfeng,et al. Coupling vibration characteristics analysis of shared support-rotors system[J]. Journal of Beijing University of Aeronautics and Astronautics,2019,45(9): 1902-1910. (in Chinese)
|
| [3] |
CAPIEZ-LERNOUT E,SOIZE C. Nonlinear stochastic dynamics of detuned bladed-disks with uncertain mistuning and detuning optimization using a probabilistic machine learning tool[J]. International Journal of Non-Linear Mechanics,2022,143: 104023. doi: 10.1016/j.ijnonlinmec.2022.104023
|
| [4] |
CAPIEZ-LERNOUT E,SOIZE C. Nonparametric modeling of random uncertainties for dynamic response of mistuned bladed disks[J]. Journal of Engineering for Gas Turbines and Power,2004,126(3): 610-618. doi: 10.1115/1.1760527
|
| [5] |
SINHA A. Reduced-order model of a bladed rotor with geometric mistuning[J]. Journal of Turbomachinery,2009,131(3): 031007.1-031007.7.
|
| [6] |
MADDEN A,EPUREANU B I,FILIPPI S. Reduced-order modeling approach for blisks with large mass, stiffness, and geometric mistuning[J]. AIAA Journal,2012,50(2): 366-374. doi: 10.2514/1.J051140
|
| [7] |
GAN Chunbiao,WANG Yuehua,YANG Shixi. Nonparametric modeling on random uncertainty and reliability analysis of a dual-span rotor[J]. Journal of Zhejiang University: Science A (Applied Physics & Engineering),2018,19(3): 189-202. doi: 10.1631/jzus.A1600340
|
| [8] |
WANG Xiaojun,QIU Zhiping. Interval finite element analysis of wing flutter[J]. Chinese Journal of Aeronautics,2008,21(2): 134-140. doi: 10.1016/S1000-9361(08)60017-5
|
| [9] |
ZHANG Hongyan,BAI Changqing,MAO Yijun. Stochastic finite element modeling and response analysis of rotor systems with random properties under random loads[J]. Journal of Mechanical Science and Technology,2015,29(8): 3083-3090. doi: 10.1007/s12206-015-0706-9
|
| [10] |
刘保国,梁国珍,苏林林,等. 基于摄动法的随机参数转子系统动力响应的概率密度分析[J]. 机械强度,2013,35(4): 400-405.
LIU Baoguo,LIANG Guozhen,SU Linlin,et al. Probability density analysis of the dynamic response of random parametricalrotor system based on the perturbation method[J]. Journal of Mechanical Strength,2013,35(4): 400-405. (in Chinese)
|
| [11] |
王存. 基于切比雪夫多项式展开的转子动力特性区间分析[J]. 航空动力学报,2020,35(4): 757-765.
WANG Cun. Interval analysis of rotor dynamic characteristics based on Chebyshev polynomials expansion[J]. Journal of Aerospace Power,2020,35(4): 757-765. (in Chinese)
|
| [12] |
SOIZE C. Polynomial chaos expansion of a multimodal random vector[J]. ASA Journal on Uncertainty Quantification,2015,3(1): 34-60. doi: 10.1137/140968495
|
| [13] |
SNOUN C,BERGEOT B,BERGER S. Prediction of the dynamic behavior of an uncertain friction system coupled to nonlinear energy sinks using a multi-element generalized polynomial chaos approach[J]. European Journal of Mechanics:A Solids,2020,80: 103917. doi: 10.1016/j.euromechsol.2019.103917
|
| [14] |
LI Hongguang,LI Ming,ZHOU Shengtong,et al. Rotor dynamics behavior of turbo-expander involving droplet impact[J]. Mathematical and Computer Modelling of Dynamical Systems,2016,22(5): 444-462. doi: 10.1080/13873954.2016.1188830
|
| [15] |
YANG Yongfeng,WU Qinyu,WANG Yanlin,et al. Dynamic characteristics of cracked uncertain hollow-shaft[J]. Mechanical Systems and Signal Processing,2019,124: 36-48. doi: 10.1016/j.ymssp.2019.01.035
|
| [16] |
FU Chao,XU Yuandong,YANG Yongfeng,et al. Response analysis of an accelerating unbalanced rotating system with both random and interval variables[J]. Journal of Sound and Vibration,2020,466: 115047. doi: 10.1016/j.jsv.2019.115047
|
| [17] |
MA Yanhong,WANG Yongfeng,WANG Cun,et al. Nonlinear interval analysis of rotor response with joints under uncertainties[J]. Chinese Journal of Aeronautics,2020,33(1): 205-218. doi: 10.1016/j.cja.2019.09.021
|
| [18] |
MA Yanhong,WANG Yongfeng,WANG Cun,et al. Interval analysis of rotor dynamic response based on Chebyshev polynomials[J]. Chinese Journal of Aeronautics,2020,33(9): 2342-2356. doi: 10.1016/j.cja.2020.04.010
|
| [19] |
WEI Sha,HAN Qinkai,PENG Zhike,et al. Dynamic analysis of parametrically excited system under uncertainties and multi-frequency excitations[J]. Mechanical Systems and Signal Processing,2016,72/73: 762-784. doi: 10.1016/j.ymssp.2015.10.036
|
| [20] |
冯伟,刘保国,丁浩,等. 非参数不确定动力学建模研究综述[J]. 振动与冲击,2020,39(5): 1-9.
FENG Wei,LIU Baoguo,DING Hao,et al. Review of uncertain nonparametric dynamic modeling[J]. Journal of Vibration and Shock,2020,39(5): 1-9. (in Chinese)
|
| [21] |
刘彦旭,刘保国,冯伟,等. 不确定双圆盘转子系统振动响应分析[J]. 航空动力学报,2021,36(3): 488-497.
LIU Yanxu,LIU Baoguo,FENG Wei,et al. Vibration responses analysis for double disks rotor system with uncertainties[J]. Journal of Aerospace Power,2021,36(3): 488-497. (in Chinese)
|
| [22] |
SOIZE C. A nonparametric model of random uncertainties for reduced matrix models in structural dynamics[J]. Probabilistic Engineering Mechanics,2000,15(3): 277-294. doi: 10.1016/S0266-8920(99)00028-4
|
| [23] |
MURTHY R,MIGNOLET M P,EL-SHAFEI A. Nonparametric stochastic modeling of uncertainty in rotordynamics: Part Ⅰ formulation[J]. Journal of Engineering for Gas Turbines and Power,2010,132(9): 092501.1-092501.7.
|
| [24] |
GAN Chunbiao,GUO Shuangquan,LEI Hua,et al. Random uncertainty modeling and vibration analysis of a straight pipe conveying fluid[J]. Nonlinear Dynamics,2014,77(3): 503-519. doi: 10.1007/s11071-014-1313-5
|
| [25] |
陈佳. 半正定内积下的矩阵极分解研究[D]. 成都: 成都理工大学, 2021.
CHEN Jia. Research on polar decomposition of matrices with respect to positive semi-definite inner product[D]. Chengdu: Chengdu University of Technology, 2021. (in Chinese)
|
| [26] |
MIGNOLET M P,SOIZE C. Nonparametric stochastic modeling of linear systems with prescribed variance of several natural frequencies[J]. Probabilistic Engineering Mechanics,2008,23(2/3): 267-278.
|
| [27] |
CAPIEZ-LERNOUT E,PELLISSETTI M,PRADLWARTER H,et al. Data and model uncertainties in complex aerospace engineering systems[J]. Journal of Sound and Vibration,2006,295(3/4/5): 923-938.
|
| [28] |
SOIZE C. A comprehensive overview of a non-parametric probabilistic approach of model uncertainties for predictive models in structural dynamics[J]. Journal of Sound and Vibration,2005,288(3): 623-652. doi: 10.1016/j.jsv.2005.07.009
|
| [29] |
PASCUAL B,ADHIKARI S. Combined parametric-nonparametric uncertainty quantification using random matrix theory and polynomial chaos expansion[J]. Computers & Structures,2012,112/113: 364-379.
|
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