量子粒子群结合小波变换识别结构模态参数
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摘要
通过对结构响应进行连续小波变换将多自由度模态参数识别转化为多个单自由度模态参数识别。建立小波骨架理论公式与由结构输出信号计算而得的小波骨架之差为目标函数的优化问题,通过搜索包含于小波骨架理论公式中的模态参数的取值而使目标值最小,从而将优化问题转化为模态参数识别问题。量子粒子群算法是一种基于群体智能理论的优化算法。将量子粒子群算法应用到上述方法中一次性识别出结构的频率、阻尼和振型。最后采用数值模拟的简支梁对该方法进行有效性验证。结果表明,量子粒子群算法结合连续小波变换可以有效地识别环境激励下的结构模态参数。
Multi-DOF structural modal parameter identification was converted into several single-DOF structural modal parameter identifications by treating structural output data with continuous wavelet transformation. An optimization with an objective function of the difference between theoretical formula of wavelet skeleton and the wavelet skeleton calculated from structural output data was performed. The minimum objective value was gained through searching reasonable modal parameters included in the theoretical formula of wavelet skeleton. And the optimization was turned into structural modal parameter identification. Quantum-behaved particle swarm optimization, as a swarm intelligence optimization algorithm,was used in the structural modal parameter identification above to identify the structural modal parameters( frequencies,damp ratios and modal shapes) simulataneously under ambient excitation. Finally,the modal parameter identification method based on quantum-behaved particle swarm optimization combined with continuous wavelet transformation presented herein was verified with a numerical simulation of a simply-supported beam. The results showed that the methodology herein can effectively be used to identify structural modal parameters under ambient excitation.
Multi-DOF structural modal parameter identification was converted into several single-DOF structural modal parameter identifications by treating structural output data with continuous wavelet transformation. An optimization with an objective function of the difference between theoretical formula of wavelet skeleton and the wavelet skeleton calculated from structural output data was performed. The minimum objective value was gained through searching reasonable modal parameters included in the theoretical formula of wavelet skeleton. And the optimization was turned into structural modal parameter identification. Quantum-behaved particle swarm optimization, as a swarm intelligence optimization algorithm,was used in the structural modal parameter identification above to identify the structural modal parameters( frequencies,damp ratios and modal shapes) simulataneously under ambient excitation. Finally,the modal parameter identification method based on quantum-behaved particle swarm optimization combined with continuous wavelet transformation presented herein was verified with a numerical simulation of a simply-supported beam. The results showed that the methodology herein can effectively be used to identify structural modal parameters under ambient excitation.
引文
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[16]伊廷华,李宏男,王国新.基于小波变换的结构模态参数识别[J].振动工程学报,2006,19(1):51-56.YI Ting-hua,LI Hong-nan,WANG Guo-xin.Structural modal parameter identification based on wavelet transform[J].Journal of Vibration Engineering,2006,19(1):51-56.
[2]沈方伟,杜成斌.环境激励下结构模态参数识别方法综述[J].电子测试,2013,5:179-181.SHEN Fang-wei,DU Cheng-bin.An overview of modal identification from ambient responses[J].Electronic Test,2013,5:179-181.
[3]Sun Jun,Xu Wenbo,Feng Bin.Adaptive parameter control for quantum-behaved particle swarm optimization on individual level[C].Proceedings of IEEE international conference on system,2005:3049-3054.
[4]Sun J,Xu W,Fang W.Quantum-behaved particle swarm optimization with a hybrid probability distribution[C].In:PRICAI 2006:TRENDS IN Artificial Intelligence,2006,737-746.
[5]黄宇,韩璞,刘长良,等.改进量子粒子群算法及其在系统辨识中的应用[J].中国电机工程学报,2011,31(20):114-122.HUANG Yu,HAN Pu,LIU Chang-liang,et al.An improved quantum particle swarm optimization and its application in system identification[J].Proceedings of the CSEE,2011,31(20):114-122.
[6]沈佳宁,孙俊,须文波.运用QPSO算法进行系统辨别的研究[J].计算机工程与应用,2009,45(9):67-70.SHEN Jia-ning,SUN Jun,XU Wen-bo.System identification based on QPSO algorithm[J].Computer Engineering and Application,2009,45(9):67-70.
[7]胡峰,吴波,胡友民,等.利用粒子群优化算法实现阻尼比和频率的精确识别[J].振动与冲击,2009,28(7):8-11.HU Feng,WU Bo,HU You-min,et al.Exact evaluation of damping frequency based on particle optimization algorithm[J].Journal of Vibration and Shock,2009,28(7):8-11.
[8]王峰,邢科义,徐小平.系统辨识的粒子群优化算法[J].西安交通大学学报,2009(2):116-120.WANG Feng,XING Ke-yi,XU Xiao-ping.A system identification method using particle swarm optimization[J].Journal of Xi'an Jiaotong University,2009(2):116-120.
[9]许东杰,贾春玉,崔艳超等.基于量子粒子群算法的BP网络板型模式识别研究[J].燕山大学学报,2011,35(1):35-39.XU Dong-jie,JIA Chun-yu,CUI Yan-chao,et al.Study on BP network flatness pattern recognition based on quantum particle swarm optimization algorithm[J].Journal of Yanshan University,2011,35(1):35-39.
[10]徐小平,钱富才,刘丁,等.基于PSO算法的系统辨识方法[J],系统仿真学报,2008(13):3525-3528.XU Xiao-ping,QIAN Fu-cai,LIU Ding,et al.Method of system identification based on PSO algorithm[J].Journal of System Simulation,2008(13):3525-3528.
[11]许少华,王浩,王颖,等.一种改进的量子粒子群优化算法及其应用[J].计算机工程与应用,2011,47(20):34-37.XU Shao-hua,WANG Hao,WANG Ying,et al.Improved quantum particle swarm optimization algorithm and its application[J].Computer Engineering and Applications,2011,47(20):34-37.
[12]常军,张启伟,孙利民.稳定图方法在随机子空间识别模态参数中的应用[J].工程力学,2007,24(2):39-44.CHANG Jun,ZHANG Qi-wei,SUN Li-min.Application of stabilization diagram to modal parameter identification by stochastic subspace method[J].Engineering Mechanics,2007,24(2):39-44.
[13]申凡,郑敏,鲍明.用互功率谱进行未知激励下的模态振型识别[J].南京理工大学学报,2000,24(2):117-120.SHEN Fan,ZHENG Min,BAO Ming.Identification of mode shape by fitting cross-power spectra under unknown excitation[J].Journal of Nanjing University of Science and Technology,2000,24(2):117-120.
[14]Lardies J,Ta M N,Berthillier M.Modal parameter estimation based on the wavelet transform of output data[J].Archive of Applied Mechanics,2004,73(9-10):718-733.
[15]罗光坤,张令弥.Morlet小波用于环境激励下的模态参数识别研究[J].地震工程与工程振动,2007,27(4):109-115.LUO Guang-kun,ZHANG Ling-mi.Study on identification of modal parameters under ambient excitation based on morlet wavelet[J].Journal of Earthquake Engineering and Engineering Vibration,2007,27(4):109-115.
[16]伊廷华,李宏男,王国新.基于小波变换的结构模态参数识别[J].振动工程学报,2006,19(1):51-56.YI Ting-hua,LI Hong-nan,WANG Guo-xin.Structural modal parameter identification based on wavelet transform[J].Journal of Vibration Engineering,2006,19(1):51-56.
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