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Operational modal identification and finite element model updating of a coupled building following Bayesian approach

机译：贝叶斯方法的耦合建筑物运行模式识别与有限元模型更新

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This paper presents a comprehensive study of the full-scale ambient vibration test, modal analysis, finite element (FE) modeling, and model updating of a coupled building in Hong Kong. The coupled building comprised a main part and a complementary part. To capture the dynamic properties of the building, a 21-setup ambient vibration test was designed and conducted. The modal parameters of each setup were identified following a fast Bayesian fast Fourier transform approach, and the partial mode shapes from the different setups were assembled following the least squares method. The identified modal parameters were analyzed and discussed in detail, revealing certain features of the coupling effects between the main and complementary parts. To determine the equivalent Young's moduli of various structural components, an FE model of the coupled building was developed and updated with the identified modal parameters. The Bayesian approach was followed to explicitly handle the uncertainties induced by modeling error and measurement noise. To ensure the model updating method is applicable even in unidentifiable cases, a Markov chain Monte Carlo simulation was employed in the proposed method to generate samples for approximating the posterior probability density functions of uncertain model parameters. The close match between the modal parameters calculated from the updated FE model and those identified from the measured time-domain data verified the validity of the proposed FE model. This study provides valuable experience and information for the development of structural model updating and structural health monitoring of building systems.
机译：本文对香港的一栋耦合建筑物的全面环境振动测试，模态分析，有限元（FE）建模和模型更新进行了全面研究。相连的建筑物包括主体和互补部分。为了捕获建筑物的动态特性，设计并进行了21个设置的环境振动测试。按照快速贝叶斯快速傅立叶变换方法识别每个设置的模态参数，并按照最小二乘法组装来自不同设置的部分模式形状。对确定的模态参数进行了详细分析和讨论，揭示了主要部分和互补部分之间耦合效应的某些特征。为了确定各种结构部件的等效杨氏模量，开发了耦合建筑物的有限元模型，并使用已识别的模态参数进行了更新。遵循贝叶斯方法来明确处理由建模误差和测量噪声引起的不确定性。为了确保模型更新方法即使在无法识别的情况下也适用，所提出的方法采用了马尔可夫链蒙特卡罗模拟来生成用于近似不确定模型参数的后验概率密度函数的样本。根据更新后的有限元模型计算出的模态参数与根据实测时域数据确定的模态参数之间的紧密匹配证明了所提出的有限元模型的有效性。这项研究为开发建筑模型更新结构模型和监视建筑系统提供了宝贵的经验和信息。

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