本文關鍵詞： 損傷識別 振動傳遞率函數(shù) 主成分分析 馬氏距離 統(tǒng)計假設檢驗　出處：《青島理工大學》2015年碩士論文　論文類型：學位論文

【摘要】：由于受到激勵未知、測量噪聲以及建模誤差等因素的影響,基于振動的結構損傷識別結果存在明顯的不確定性。為此,本文利用振動傳遞率函數(shù)和統(tǒng)計假設檢驗(的方法)進行結構損傷識別研究,主要內(nèi)容如下:(1)介紹了結構損傷識別方法的研究背景及意義,綜述了基于振動的結構損傷識別研究與發(fā)展現(xiàn)狀。(2)介紹了振動傳遞率函數(shù)、主成分分析以及統(tǒng)計假設檢驗等基本理論。(3)基于振動傳遞率函數(shù)和t檢驗的結構損傷識別研究。首先,將損傷前后的振動傳遞率函數(shù)進行分組并分別構造振動傳遞率函數(shù)矩陣;然后,運用主成分分析對振動傳遞率函數(shù)進行壓縮處理,提取主成分,計算結構損傷前后主成分之間的馬氏距離,并將其作為統(tǒng)計分析的樣本。最后,構造統(tǒng)計量利用t檢驗進行損傷識別研究。海洋平臺數(shù)值模擬和振動臺模型實驗證明了該方法是有效的。(4)基于振動傳遞率函數(shù)和多元統(tǒng)計假設檢驗的結構損傷識別研究。利用主成分分析(PCA)提取結構損傷前后的振動傳遞率函數(shù)的第一階主成分,并將其作為正態(tài)總體的一個樣本,構造統(tǒng)計量利用多元統(tǒng)計分析中的F檢驗法進行損傷識別研究。海洋平臺數(shù)值模擬和振動臺模型實驗證明了該方法是可行的。(5)將兩種方法的統(tǒng)計結果進行比較分析,得出了一些結論。
[Abstract]:Because of the influence of unknown excitation, measurement noise and modeling error, the result of structural damage identification based on vibration has obvious uncertainty. In this paper, the vibration transfer rate function and statistical hypothesis test are used to study the structural damage identification. The main contents are as follows: (1) the background and significance of the structural damage identification method are introduced. In this paper, the research and development of damage identification based on vibration are reviewed. The vibration transfer rate function is introduced. The basic theory of principal component analysis and statistical hypothesis test is the research of structural damage identification based on vibration transfer rate function and t test. Firstly, the vibration transfer rate function before and after damage is grouped and the vibration transfer rate function matrix is constructed respectively. Then, the principal component analysis is used to compress the vibration transfer rate function, extract the principal component, calculate the Markov distance between the principal components before and after the damage of the structure, and take it as the sample of statistical analysis. Finally, The structural statistics are studied by t test. The numerical simulation of offshore platform and shaking table model experiment prove that this method is effective. The structural damage recognition based on vibration transfer rate function and multivariate statistical hypothesis test is proved to be effective. Using principal component analysis (PCA) to extract the first order principal component of the vibration transfer rate function before and after damage, And use it as a sample of the normal population, Structural statistics are studied by using F test method in multivariate statistical analysis. Numerical simulation of offshore platform and shaking table model experiments prove that this method is feasible. The statistical results of the two methods are compared and analyzed. Some conclusions have been drawn.
【學位授予單位】：青島理工大學
【學位級別】：碩士
【學位授予年份】：2015
【分類號】：TU317;P742

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本文編號：1515904