【摘要】：工程結構的安全性與社會發(fā)展和民眾生命財產安全直接相關,因此識別正在服役期的工程結構內存在的損傷是土木工程研究人員面對的重要課題之一。由于時域損傷識別方法具有響應信號易于測量、不存在中間過程誤差、可以提供更多的損傷識別方程、可直接應用于非線性動力系統(tǒng)的辨識的優(yōu)點,因此時域損傷識別方法具有廣闊的前景。但是,傳統(tǒng)時域損傷識別方法存在測量噪音嚴重影響識別精度的局限性,針對這一局限性,本文在考慮不同測量信號之間的相關性的基礎上,開展了基于多通道奇異譜分析的結構時域損傷識別方法的研究,綜合理論分析、數(shù)值模擬、試驗驗證等手段,進行了以下幾個方面的深入研究:(1)研究了多通道奇異譜成分中噪音和損傷信息的分布規(guī)律,發(fā)現(xiàn)低階多通道奇異譜成分中包含較少的噪音信息和較多的損傷信息,提出了定量分析多通道奇異譜成分中噪音信息和損傷信息含量的指標。本文將提取出這些含較少噪音、較多損傷信息的優(yōu)質統(tǒng)計成分進行結構損傷識別,以減輕測量噪音對識別結果精度的影響。(2)在多通道奇異譜成分中噪音和損傷信息分布的研究基礎上,進行了基于多通道奇異譜分析的結構時域損傷識別方法的理論分析�？紤]不同位置測量信號的相關性,將傳統(tǒng)靈敏度分析損傷識別方法與多通道奇異譜分析方法有機結合,并運用子空間投影方法得到優(yōu)質投影空間上的基于多通道奇異譜分析的損傷識別方程。(3)詳細探討了影響基于多通道奇異譜分析的結構時域損傷識別方法精度的因素。首先討論了三種不同投影空間和選取優(yōu)質多通道奇異譜成分的標準,得出多通道奇異譜分析方法處理完好結構計算響應得到的空間為最優(yōu)質的投影空間;最后研究了窗口長度對識別結果的影響,通過對比發(fā)現(xiàn):窗口長度越長,優(yōu)質成分的區(qū)間范圍越大。(4)以二維平面桁架結構為數(shù)值模擬算例,應用本文提出的算法,在噪音水平高達20%和30%的情況下,進行了損傷識別數(shù)值模擬驗證,并將結果與傳統(tǒng)靈敏度分析方法識別結果進行了對比,驗證了本文方法的有效性和穩(wěn)定性。同時通過平面鋼框架結構的損傷試驗,驗證了本文方法的實用性。
[Abstract]:The safety of engineering structure is directly related to social development and the safety of people's life and property, so it is one of the important topics faced by civil engineering researchers to identify the damage existing in the engineering structure which is in service. Because the time domain damage identification method is easy to measure the response signal, there is no intermediate process error, it can provide more damage identification equations, and can be directly applied to the identification of nonlinear dynamic systems, so the time domain damage identification method has a broad prospect. However, the traditional time-domain damage identification method has the limitation that the measurement noise seriously affects the identification accuracy. In view of this limitation, on the basis of considering the correlation between different measurement signals, this paper studies the time-domain damage identification method based on multi-channel singular spectrum analysis, comprehensive theoretical analysis, numerical simulation, experimental verification and so on. The following aspects are deeply studied: (1) the distribution of noise and damage information in multi-channel singular spectrum components is studied, and it is found that the low-order multi-channel singular spectrum components contain less noise information and more damage information, and the index of quantitative analysis of noise information and damage information content in multi-channel singular spectrum components is put forward. In this paper, these high quality statistical components with less noise and more damage information are extracted for structural damage identification in order to reduce the influence of measurement noise on the accuracy of identification results. (2) based on the study of noise and damage information distribution in multi-channel singular spectral components, the theoretical analysis of structural damage identification method based on multi-channel singular spectrum analysis is carried out. Considering the correlation of different position measurement signals, the traditional sensitivity analysis damage identification method and multi-channel singular spectrum analysis method are combined organically, and the damage identification equation based on multi-channel singular spectrum analysis in high quality projection space is obtained by using subspace projection method. (3) the factors that affect the accuracy of structural damage identification method based on multi-channel singular spectrum analysis are discussed in detail. Firstly, three different projection spaces and the criteria for selecting high quality multi-channel singular spectrum components are discussed, and it is concluded that the space obtained by the multi-channel singular spectrum analysis method to deal with the response of the intact structure is the best projection space. Finally, the influence of window length on the recognition results is studied. It is found that the longer the window length is, the larger the interval range of high quality components is. (4) taking the two-dimensional plane truss structure as a numerical simulation example, the numerical simulation of damage identification is carried out when the noise level is as high as 20% and 30%, and the results are compared with those of the traditional sensitivity analysis method. The effectiveness and stability of the proposed method are verified. At the same time, the practicability of this method is verified by the damage test of plane steel frame structure.
【學位授予單位】：哈爾濱工業(yè)大學
【學位級別】：碩士
【學位授予年份】：2017
【分類號】：TU317

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