基于有效独立的改进传感器优化布置方法研究

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振动与冲击 ›› 2013, Vol. 32 ›› Issue (6) : 54-62.

论文

基于有效独立的改进传感器优化布置方法研究

刘伟 ,2，高维成1，李惠2，孙毅1

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Study of Improved Optimal Sensor Placement Methods based on Effective Independence

LIU Wei1,2 GAO Wei-cheng1 LI Hui2 SUN Yi1

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摘要

随着结构健康监测技术的发展，传感器优化布置问题日趋突出。综合考虑有效独立法和模态动能法的优缺点，分别以平均加速度幅值和模态动能修正有效独立法的传感器优化布置结果，提出了两种基于有效独立的改进传感器优化布置方法——有效独立-平均加速度幅值法（EI-AAA）和有效独立-模态动能法（EI-MKE）。运用模态动能准则、平均加速度幅值准则、Fisher信息矩阵准则、截断模态矩阵条件数准则、模态置信准则评价并比较上述两种方法及有效独立法、模态动能法、有效独立驱动点留数法（文献12）和有效独立驱动点残差法（文献13）。实际钢井字梁采光顶结构算例结果表明，本文提出的有效独立-平均加速度幅值法（EI-AAA）和有效独立-模态动能法（EI-MKE）在考虑截断模态线性独立的同时都能自动选择具有较高平均动态响应和模态动能的测点位置，有较强的抗噪声性能，在六种方法中布置结果最为有效。

Abstract

Optimal sensor placement technique plays a key role in structural health monitoring in civil engineering. Based on the advantages and disadvantages of effective independence (EI) and modal kinetic energy (MKE) methods, two improved optimal sensor placement methods which are Effective Independence - Average Acceleration Amplitude (EI-AAA) method and Effective Independence - Modal Kinetic Energy (EI-MKE) method are proposed in this paper. They use the average acceleration amplitude (AAA) and modal kinetic energy (MKE) respectively to modify optimal sensor placement results obtained by the effective independence method. The obtained optimal sensor locations using the two improved methods (EI-AAA and EI-MKE) are compared with those gained by EI method, MKE method, effective independence driving point residue (EFI-DPR) method (Ref.[12] and Ref.[13]). The advantage and disadvantage of these six methods are demonstrated by six evaluation criteria which are modal kinetic energy (MKE), average acceleration amplitude (AAA), Fisher information matrix (FIM), condition number of truncated modal shape matrix and modal assurance criterion (MAC). A computational simulation of steel cross beam sunroof structure has been implemented to demonstrate the feasibility of the two improved methods and other four methods. The results showed that some innovations proposed in this paper are effective and reliable. The two improved optimal sensor placement methods (EI-AAA method and EI-MKE method) can not only make the truncated mode shapes as linearly independent as possible but also enable the measured modal kinetic energy to maintain the maximum value. They are more feasible in these six optimal sensor placement methods.

导出引用

刘伟;高维成;李惠;孙毅. 基于有效独立的改进传感器优化布置方法研究[J]. 振动与冲击, 2013, 32(6): 54-62

LIU Wei;GAO Wei-cheng LI Hui SUN Yi. Study of Improved Optimal Sensor Placement Methods based on Effective Independence[J]. Journal of Vibration and Shock, 2013, 32(6): 54-62