利用已知地震激励进行快速贝叶斯模态识别

IF 4.3 2区 工程技术 Q1 ENGINEERING, CIVIL Earthquake Engineering & Structural Dynamics Pub Date : 2024-06-29 DOI:10.1002/eqe.4181
Peixiang Wang, Binbin Li, Fengliang Zhang, Xiaoyu Chen, Yanchun Ni
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引用次数: 0

摘要

地震发生后,快速准确地识别结构模态参数对于评估结构状况和促进修复至关重要。随着现代地震观测技术的发展,记录的地面运动可以作为模态识别的额外输入信息,从而使实验模态分析成为可能。本研究开发了一种贝叶斯模态识别算法,旨在估算模态参数的最可能值(MPV)及其识别不确定性。该算法结合记录的地震输入,利用频域结构运动方程来计算似然函数,并采用约束拉普拉斯法对模态参数进行贝叶斯后验近似。借助复杂矩阵微积分,开发了一种迭代方案,可以快速搜索模态参数的 MPV,并对后验协方差矩阵进行分析评估。通过分别使用合成数据、实验室数据和现场数据的实例,验证了所提算法的性能。此外,还说明了该算法在预测未来地震下的结构响应方面的有效性,显示了其在地震结构健康监测的各种下游应用中的潜力。
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Fast Bayesian modal identification with known seismic excitations

Fast and accurate identification of structural modal parameters after an earthquake is crucial for assessing structural conditions and facilitating repair. With the development of modern earthquake observation techniques, the recorded ground motion can be leveraged as extra input information for modal identification, enabling the experimental modal analysis applicable. This study develops a Bayesian modal identification algorithm that aims at estimating the most probable value (MPV) of modal parameters and their identification uncertainty. Incorporating the recorded seismic input, the algorithm utilizes with the structural equation of motion in the frequency domain to formulate the likelihood function and adopts a constrained Laplace method for Bayesian posterior approximation of modal parameters. With the aid of complex matrix calculus, an iterative scheme is developed, allowing a fast search of the MPV of modal parameters and an analytical evaluation of the posterior covariance matrix. The performance of the proposed algorithm is validated by examples with synthetic, laboratory and field data, respectively. In addition, its effectiveness on predicting structural responses under a future earthquake is illustrated, showing its potential for various downstream applications in seismic structural health monitoring.

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来源期刊
Earthquake Engineering & Structural Dynamics
Earthquake Engineering & Structural Dynamics 工程技术-工程:地质
CiteScore
7.20
自引率
13.30%
发文量
180
审稿时长
4.8 months
期刊介绍: Earthquake Engineering and Structural Dynamics provides a forum for the publication of papers on several aspects of engineering related to earthquakes. The problems in this field, and their solutions, are international in character and require knowledge of several traditional disciplines; the Journal will reflect this. Papers that may be relevant but do not emphasize earthquake engineering and related structural dynamics are not suitable for the Journal. Relevant topics include the following: ground motions for analysis and design geotechnical earthquake engineering probabilistic and deterministic methods of dynamic analysis experimental behaviour of structures seismic protective systems system identification risk assessment seismic code requirements methods for earthquake-resistant design and retrofit of structures.
期刊最新文献
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