## 留言板

 引用本文: 李云龙, 王晓军, 黄仁等 . 结构振动主动控制系统的非概率可靠性分析[J]. 北京航空航天大学学报, 2015, 41(2): 259-266.
LI Yunlong, WANG Xiaojun, HUANG Renet al. Non-probabilistic reliability analysis of active control system for structural vibration[J]. Journal of Beijing University of Aeronautics and Astronautics, 2015, 41(2): 259-266. doi: 10.13700/j.bh.1001-5965.2014.0133(in Chinese)
 Citation: LI Yunlong, WANG Xiaojun, HUANG Renet al. Non-probabilistic reliability analysis of active control system for structural vibration[J]. Journal of Beijing University of Aeronautics and Astronautics, 2015, 41(2): 259-266. (in Chinese)

• 中图分类号: O327

## Non-probabilistic reliability analysis of active control system for structural vibration

• 摘要: 为了解决结构主动振动控制系统的可靠性问题,考虑结构参数的不确定性,研究了结构振动主动控制系统可靠性分析的非概率方法.对不确定变量用区间数或区间向量进行描述,基于区间数学,提出了含区间不确定参数的闭环控制系统响应的计算方法,在此基础之上结合非概率可靠性分析方法,建立了适用于振动控制系统的非概率可靠性分析方法.该方法无需不确定量的概率信息,只需明确参数所在区间范围即可,对开环系统和闭环控制系统的可靠性分析与基于可靠性的控制器设计具有一定的理论意义.通过数值算例,将非概率可靠性分析方法与蒙特卡洛方法进行了比较,结果表明了本文所提方法的有效性和对复杂结构振动主动控制系统的适用性.

•  [1] Soong T T. Active structural control:theory and practice[M].Harlow,Essex:Longma,1990. [2] Spencer Jr B F, Sain M K,Kantor J C,et al.Probabilistic stability measures for controlled structures subject to real parameter uncertainties[J].Smart Materials and Structures,1992：294. [3] Breitung K, Casciati F,Faravelli L.Reliability based stability analysis for actively controlled structures[J].Engineering Structures,1998,20(3):211-215. [4] Battaini M, Breitung K,Casciati F,et al.Active control and reliability of a structure under wind excitation[J].Journal of Wind Engineering and Industrial Aerodynamics,1998,74:1047-1055. [5] Crespo L G, Kenny S P.Reliability-based control design for uncertain systems[J].Journal of Guidance,Control,and Dynamics,2005,28(4):649-658. [6] Guo S, Li Y.Non-probabilistic reliability method and reliability-based optimal LQR design for vibration control of structures with uncertain-but-bounded parameters[J].Acta Mechanica Sinica,2013,29(6):864-874. [7] Guo S. Robust reliability as a measure of stability of controlled dynamic systems with bounded uncertain parameters[J].Journal of Vibration and Control,2010,16(9):1351-1368. [8] Guo S. Robust reliability method for non-fragile guaranteed cost control of parametric uncertain systems[J].Systems & Control Letters,2014,64:27-35. [9] Venini P, Mariani C.Reliability as a measure of active control effectiveness[J].Computers & Structures,1999,73(1):465-473. [10] Chen J, Li J.Dynamic response and reliability analysis of non-linear stochastic structures[J].Probabilistic Engineering Mechanics,2005,20(1):33-44. [11] Li J, Chen J B.Dynamic response and reliability analysis of structures with uncertain parameters[J].International Journal for Numerical Methods in Engineering,2005,62(2):289-315. [12] Crandall S H. First-crossing probabilities of the linear oscillator[J].Journal of Sound and Vibration,1970,12(3):285-299. [13] 王晓军, 邱志平,武哲.结构非概率集合可靠性模型[J].力学学报,2007,39(5):641-646. Wang X J,Qiu Z P,Wu Z.Non-probabilistic set-based model for structural reliability[J].Chinese Journal of Theoretical and Applied Mechanics,2007,39(5):641-646(in Chinese). [14] 王晓军, 邱志平.结构振动的鲁棒可靠性[J].北京航空航天大学学报,2003,29(11):1006-1010. Wang X J,Qiu Z P.Robust reliability of structural vibration[J].Journal of Beijing University of Aeronautics and Astronautics,2003,29(11):1006-1010(in Chinese). [15] 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,Lü Z Z,Feng Y S.A non-probabilistic model of structural reliability based on interval analysis[J].Chinese Journal of Computational Mechanics,2001,18(1):56-60(in Chinese). [16] 郭书祥, 张陵,李颖.结构非概率可靠性指标的求解方法[J].计算力学学报,2005,22(2):227-231. Guo S X,Zhang L,Li Y.Procedures for computing the non-probabilistic reliability index of uncertain structures[J].Chinese Journal of Computational Mechanics,2005,22(2):227-231(in Chinese).

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##### 出版历程
• 收稿日期:  2014-03-20
• 刊出日期:  2015-02-20

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