面向结构形变重构的应变传感器优化布局
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摘要
提出了一种面向结构形变重构的两步序列应变传感器布局方法。该方法基于应变-位移转换关系,建立了信息冗余度准则和重构精度准则。在该方法中,第一步依据列主元QR分解,确定初始传感器位置集合;第二步以重构误差最小为目标,以信息冗余度为约束逐个增加传感器位置到初始传感器位置集合。该方法应用于某相控阵天线实验平台,通过四种评价准则评估布局效果。结果表明所提方法不仅提高了重构精度而且降低了传感器信息冗余度。
A two-stage strain sensor placement method for structural deformation reconstruction was proposed. Based on the strain-displacement transformation relationship, two criteria, information redundancy and reconstruction accuracy, were proposed. In the method, the initial sensor location set was determined using QR decomposition at the first stage. In the second step, taking the information redundancy as a restraint, the initial sensor location set was modified by adding sequentially new positions one by one to it to gradually minimize the reconstruction errors. The proposed method was applied to the experimental platform of a phased array antenna structure, and the results were evaluated by using four criteria. The experimental results show that the proposed method can not only improve reconstruction accuracy but also reduce information redundancy.
A two-stage strain sensor placement method for structural deformation reconstruction was proposed. Based on the strain-displacement transformation relationship, two criteria, information redundancy and reconstruction accuracy, were proposed. In the method, the initial sensor location set was determined using QR decomposition at the first stage. In the second step, taking the information redundancy as a restraint, the initial sensor location set was modified by adding sequentially new positions one by one to it to gradually minimize the reconstruction errors. The proposed method was applied to the experimental platform of a phased array antenna structure, and the results were evaluated by using four criteria. The experimental results show that the proposed method can not only improve reconstruction accuracy but also reduce information redundancy.
引文
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[3]SCHEDLINSKI C,LINK M.An approach to optimal pick-up and exciter placement[C]//International Modal Analysis Conference.[S.l.]:IMAC,1996.
[4]CHANG M,PAKZAD S N.Optimal sensor placement for modal identification of bridge systems considering number of sensing nodes[J].Journal of Bridge Engineering,2014,19(6):04014019.
[5]MAHDAVI S H,RAZAK H A.Optimal sensor placement for time-domain identification using a wavelet-based genetic algorithm[J].Smart Materials and Structures,2016,25(6):065006.
[6]RAMA M R A,ANANDAKUMAR G.Optimal placement of sensors for structural system identification and health monitoring using a hybrid swarm intelligence technique[J].Smart Materials and Structures,2007,16(6):2658.
[7]FENG S,JIA J Q.3D sensor placement strategy using the full-range pheromone ant colony system[J].Smart Materials and Structures,2016,25(7):075003.
[8]YI T H,LI H N,ZHANG X D.Sensor placement on canton tower for health monitoring using asynchronous-climb monkey algorithm[J].Smart Materials and Structures,2012,21(12):125023.
[9]VINCENZI L,SIMONINI L.Influence of model errors in optimal sensor placement[J].Journal of Sound and Vibration,2017,389:119-133.
[10]PAPADIMITRIOU C.Optimal sensor placement methodology for parametric identification of structural systems[J].Journal of Sound and Vibration,2004,278(4):923-947.
[11]LAM H F,ZHANG F L,NI Y C,et al.Operational modal identification of a boat-shaped building by a Bayesian approach[J].Engineering Structures,2017,138:381-393.
[12]YI T H,HUANG H B,LI H N.Development of sensor validation methodologies for structural health monitoring:a comprehensive review[J].Measurement,2017,64(5):200-214.
[13]ZHANG X H,ZHU S,XU Y L,et al.Integrated optimal placement of displacement transducers and strain gauges for better estimation of structural response[J].International Journal of Structural Stability and Dynamics,2011,11(3):48-51.
[14]CHEN W,ZHAO W G,ZHU H P,et al.Optimal sensor placement for structural response estimation[J].Journal of Central South University,2014,21(10):3993-4001.
[15]WANG J,LAW S S,YANG Q S.Sensor placement method for dynamic response reconstruction[J].Journal of Sound and Vibration,2014,333(9):2469-2482.
[16]FRISWELL M I,CASTROTRIGUERO R.Clustering of sensor locations using the effective independence method[J].AIAA Journal,2015,53(5):1-3.
[17]RAPP S,KANG L H,HAN J H,et al.Displacement field estimation for a two-dimensional structure using fiber Bragg grating sensors[J].Smart Material and Structures,2009,18(2):025006.
[18]LIAN J J,HE L J,MA B,et al.Optimal sensor placement for large structures using the nearest neighbour index and a hybrid swarm intelligence algorithm[J].Smart Materials and Structures,2013,22(9):095015.
[19]STEPHAN C.Sensor placement for modal identification[J].Mechanical Systems and Signal Processing,2012,27(1):461-470.
[20]WANG R.Optimal sensor placement for latticed shell structure based on an improved particle swarm optimization algorithm[J].Mathematical Problems in Engineering,2014(1):1214-1225.
[21]ALLEMANG R J,BROWN D L.A correlation coefficient for modal vector analysis[C]//Proceedings of the 1st International Modal Analysis Conference.Orlando:IMAC,1982.
[22]DIAO H A,WEI Y,QIAO S.Structured condition numbers of structured Tikhonov regularization problem and their estimations[J].Journal of Computational and Applied Mathematics,2016,308:276-300.