基于振动传递率函数和统计假设检验的海洋平台结构损伤识别研究

发布时间：2018-02-16 16:06

本文关键词： 损伤识别振动传递率函数主成分分析马氏距离统计假设检验　出处：《青岛理工大学》2015年硕士论文　论文类型：学位论文

【摘要】：由于受到激励未知、测量噪声以及建模误差等因素的影响,基于振动的结构损伤识别结果存在明显的不确定性。为此,本文利用振动传递率函数和统计假设检验(的方法)进行结构损伤识别研究,主要内容如下:(1)介绍了结构损伤识别方法的研究背景及意义,综述了基于振动的结构损伤识别研究与发展现状。(2)介绍了振动传递率函数、主成分分析以及统计假设检验等基本理论。(3)基于振动传递率函数和t检验的结构损伤识别研究。首先,将损伤前后的振动传递率函数进行分组并分别构造振动传递率函数矩阵;然后,运用主成分分析对振动传递率函数进行压缩处理,提取主成分,计算结构损伤前后主成分之间的马氏距离,并将其作为统计分析的样本。最后,构造统计量利用t检验进行损伤识别研究。海洋平台数值模拟和振动台模型实验证明了该方法是有效的。(4)基于振动传递率函数和多元统计假设检验的结构损伤识别研究。利用主成分分析(PCA)提取结构损伤前后的振动传递率函数的第一阶主成分,并将其作为正态总体的一个样本,构造统计量利用多元统计分析中的F检验法进行损伤识别研究。海洋平台数值模拟和振动台模型实验证明了该方法是可行的。(5)将两种方法的统计结果进行比较分析,得出了一些结论。
[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.
【学位授予单位】：青岛理工大学
【学位级别】：硕士
【学位授予年份】：2015
【分类号】：TU317;P742

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