Citation: | Jiang Xin, Bai Zhengfeng, Ning Zhiyuan, Wang Siyu. Interval uncertainty analysis methods for multibody systems based on signal decomposition and Chebyshev polynomials. Chinese Journal of Theoretical and Applied Mechanics, 2022, 54(6): 1694-1705 doi: 10.6052/0459-1879-22-092 |
[1] |
Rong B, Rui X, Tao L, et al. Theoretical modeling and numerical solution methods for flexible multibody system dynamics. Nonlinear Dynamics, 2019, 98(2): 1519-1553 doi: 10.1007/s11071-019-05191-3
|
[2] |
Faes M, Moens D. Recent trends in the modeling and quantification of non-probabilistic uncertainty. Archives of Computational Methods in Engineering, 2020, 27(3): 633-671 doi: 10.1007/s11831-019-09327-x
|
[3] |
Wang L, Yang G. An interval uncertainty propagation method using polynomial chaos expansion and its application in complicated multibody dynamic systems. Nonlinear Dynamics, 2021, 105: 837-858 doi: 10.1007/s11071-021-06512-1
|
[4] |
任铭泽, 邓忠民, 国兆普. 基于区间摄动的不确定非线性结构动力学模型修正方法研究. 振动与冲击, 2021, 40(24): 275-281 (Ren Mingze, Deng Zhongmin, Guo Zhaopu. A model updating method of nonlinear structural dynamic based on interval perturbation. Journal of Vibration and Shock, 2021, 40(24): 275-281 (in Chinese)
Ren Mingze, Deng Zhongmin, Guo Zhaopu. A model updating method of nonlinear structural dynamic based on interval perturbation. Journal of Vibration and Shock, 2021, 40(24): 275-281 (in Chinese)
|
[5] |
Moens D, Hanss M. Non-probabilistic finite element analysis for parametric uncertainty treatment in applied mechanics: Recent advances. Finite Elements in Analysis and Design, 2011, 47(1): 4-16 doi: 10.1016/j.finel.2010.07.010
|
[6] |
Tolker-Nielsen T, Ig E. Exomars 2016 Schiaparelli Anomaly Inquiry//European Space Agency, 2017: 28
|
[7] |
Bonetti D, De Zaiacomo G, Blanco G, et al. ExoMars 2016: Schiaparelli coasting, entry and descent post flight mission analysis. Acta Astronautica, 2018, 149: 93-105 doi: 10.1016/j.actaastro.2018.05.029
|
[8] |
Sandu A, Sandu C, Ahmadian M. Modeling multibody systems with uncertainties. Part I: Theoretical and computational aspects. Multibody System Dynamics, 2006, 15(4): 369-391
|
[9] |
Fu C, Xu Y, Yang Y, et al. Response analysis of an accelerating unbalanced rotating system with both random and interval variables. Journal of Sound and Vibration, 2020, 466: 115047 doi: 10.1016/j.jsv.2019.115047
|
[10] |
Wu J, Luo Z, Zhang Y, et al. Interval uncertain method for multibody mechanical systems using Chebyshev inclusion functions. International Journal for Numerical Methods in Engineering, 2013, 95(7): 608-630 doi: 10.1002/nme.4525
|
[11] |
Feng X, Zhang Y, Wu J. Interval analysis method based on Legendre polynomial approximation for uncertain multibody systems. Advances in Engineering Software, 2018, 121: 223-234 doi: 10.1016/j.advengsoft.2018.04.002
|
[12] |
Wei T, Li F, Meng G. A bivariate Chebyshev polynomials method for nonlinear dynamic systems with interval uncertainties. Nonlinear Dynamics, 2022, 107: 793-811 doi: 10.1007/s11071-021-07020-y
|
[13] |
Xia B, Yu D. Modified sub-interval perturbation finite element method for 2D acoustic field prediction with large uncertain-but-bounded parameters. Journal of Sound and Vibration, 2012, 331(16): 3774-3790 doi: 10.1016/j.jsv.2012.03.024
|
[14] |
Wang Z, Tian Q, Hu H. Dynamics of spatial rigid–flexible multibody systems with uncertain interval parameters. Nonlinear Dynamics, 2016, 84(2): 527-548 doi: 10.1007/s11071-015-2504-4
|
[15] |
Wu J, Luo L, Zhu B, et al. Dynamic computation for rigid–flexible multibody systems with hybrid uncertainty of randomness and interval. Multibody System Dynamics, 2019, 47(1): 43-64 doi: 10.1007/s11044-019-09677-1
|
[16] |
Wang Z, Tian Q, Hu H. Multiple dynamic response patterns of flexible multibody systems with random uncertain parameters. Journal of Computational and Nonlinear Dynamics, 2019, 14(2): 021008 doi: 10.1115/1.4041580
|
[17] |
陈昭岳, 刘莉, 陈树霖等. 月球探测器着陆动响应区间不确定性分析. 兵工学报, 2019, 40(2): 442-448 (Chen Zhaoyue, Liu Li, Chen Shulin et al. Interval uncertainty analysis of soft-landing dynamics of lunar lander. Acta Armamentarii, 2019, 40(2): 442-448 (in Chinese)
Chen Zhaoyue, Liu Li, Chen Shulin et al. Interval uncertainty analysis of soft-landing dynamics of lunar lander. Acta Armamentarii, 2019, 40(2): 442-448 (in Chinese)
|
[18] |
Wei S, Chu FL, Ding H, et al. Dynamic analysis of uncertain spur gear systems. Mechanical Systems and Signal Processing, 2021, 150: 107280 doi: 10.1016/j.ymssp.2020.107280
|
[19] |
Liu Y, Wang X, Li Y. An improved Bayesian collocation method for steady-state response analysis of structural dynamic systems with large interval uncertainties. Applied Mathematics and Computation, 2021, 411: 126523 doi: 10.1016/j.amc.2021.126523
|
[20] |
Wang L, Liu Y, Gu K, et al. A radial basis function artificial neural network (RBF ANN) based method for uncertain distributed force reconstruction considering signal noises and material dispersion. Computer Methods in Applied Mechanics and Engineering, 2020, 364: 112954 doi: 10.1016/j.cma.2020.112954
|
[21] |
Sun D, Zhang B, Liang X, et al. Dynamic analysis of a simplified flexible manipulator with interval joint clearances and random material properties. Nonlinear Dynamics, 2019, 98(2): 1049-1063 doi: 10.1007/s11071-019-05248-3
|
[22] |
陈光宋, 钱林方, 王明明等. 基于统计信息的多体系统区间不确定性分析. 振动与冲击, 2019, 38(8): 117-125 (Chen Guangsong, Qian Linfang, Wang Mingming, et al. An interval analysis method based on statical information for a multibody system with uncertainty. Journal of Vibration and Shock, 2019, 38(8): 117-125 (in Chinese)
Chen Guangsong, Qian Linfang, Wang Mingming et al. An interval analysis method based on statical information for a multibody system with uncertainty. Journal of Vibration and Shock, 2019, 38(8): 117-125 (in Chinese))
|
[23] |
Pettit C, Beran P. Polynomial chaos expansion applied to airfoil limit cycle oscillations//45th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics & Materials Conference. Palm Springs, California: American Institute of Aeronautics and Astronautics, 2004
|
[24] |
Cui J, Zhao ZH, Liu JW, et al. Uncertainty analysis of mechanical dynamics by combining response surface method with signal decomposition technique. Mechanical Systems and Signal Processing, 2021, 158: 107570 doi: 10.1016/j.ymssp.2020.107570
|
[25] |
Xu M, Du J, Chen J, et al. An iterative dimension-wise approach to the structural analysis with interval uncertainties. International Journal of Computational Methods, 2018, 15(6): 1850044 doi: 10.1142/S0219876218500445
|
[26] |
Hu Q, Liu Z, Yang C, et al. Research on dynamic transmission error of harmonic drive with uncertain parameters by an interval method. Precision Engineering, 2021, 68: 285-300 doi: 10.1016/j.precisioneng.2020.12.017
|
[27] |
Wang Z, Tian Q, Hu H, et al. Nonlinear dynamics and chaotic control of a flexible multibody system with uncertain joint clearance. Nonlinear Dynamics, 2016, 86(3): 1571-1597 doi: 10.1007/s11071-016-2978-8
|
[28] |
Xiang W, Yan S, Wu J, et al. Dynamic response and sensitivity analysis for mechanical systems with clearance joints and parameter uncertainties using Chebyshev polynomials method. Mechanical Systems and Signal Processing, 2020, 138: 106596 doi: 10.1016/j.ymssp.2019.106596
|
[29] |
Huang NE, Shen Z, Long SR, et al. The empirical mode decomposition and the Hilbert spectrum for nonlinear and non-stationary time series analysis. Proceedings of the Royal Society of London. Series A:Mathematical, Physical and Engineering Sciences, 1998, 454(1971): 903-995 doi: 10.1098/rspa.1998.0193
|
[30] |
Feldman M. Hilbert transform in vibration analysis. Mechanical Systems and Signal Processing, 2011, 25(3): 735-802 doi: 10.1016/j.ymssp.2010.07.018
|
[31] |
Smith JS. The local mean decomposition and its application to EEG perception data. Journal of the Royal Society Interface, 2005, 2(5): 443-454 doi: 10.1098/rsif.2005.0058
|
[32] |
Liu Z, Jin Y, Zuo MJ, et al. Time-frequency representation based on robust local mean decomposition for multicomponent AM-FM signal analysis. Mechanical Systems and Signal Processing, 2017, 95: 468-487 doi: 10.1016/j.ymssp.2017.03.035
|
[33] |
Rilling G, Flandrin P, Goncalves P. On empirical mode decomposition and its algorithms. Grado: IEER, 2003, 3: 8-11
|
[34] |
Wang Y, He Z, Zi Y. A comparative study on the local mean decomposition and empirical mode decomposition and their applications to rotating machinery health diagnosis. Journal of Vibration and Acoustics, 2010, 132(2): 021010 doi: 10.1115/1.4000770
|
[35] |
Pace RK, Lesage JP. Chebyshev approximation of log-determinants of spatial weight matrices. Computational Statistics & Data Analysis, 2004, 45(2): 179-196
|