基于稀疏贝叶斯学习与改进D-S证据理论多源数据融合的结构性能评估

STRUCTURAL PERFORMANCE ASSESSMENT ENABLED BY SPARSE BAYESIAN LEARNING AND BY IMPROVED D-S EVIDENCE THEORY FOR MULTI-DATA FUSION

  • 摘要: 结构健康监测逐渐应用于结构运管养与安全评估中,但海量监测数据中存在大量的噪声和不确定性,较难实现结构性能精准评估。该文构建了基于稀疏贝叶斯学习(sparse Bayesian learning, SBL)与改进D-S证据理论多源数据融合的结构性能评估体系。对实测加速度数据和应变数据进行频谱分析,利用矩阵线性变换技术开展多源数据特征级融合,构建SBL回归模型,并借助贝叶斯假设检验量化其残差。基于实测加速度和应变数据,通过引入权重因子,赋予各证据之间不同的可靠度,对结构性能做出定量评估,进一步开展结构性能劣化定位分析。以香港青马大桥实测监测数据为例,验证了基于稀疏贝叶斯学习与改进D-S证据理论多源数据融合的结构性能评估的可行性和有效性。结果表明,该方法同时考虑加速度和应变多源数据,融合后得到的贝叶斯因子随着时间推移呈现增长趋势,能够较精确地识别结构性能劣化程度和位置,获取的结构性能评估信息更为全面。

     

    Abstract: Structural health monitoring is gradually applied to the operation, to the management, to the maintenance, and to the safety assessment of structures, but there is a lot of noise and uncertainty in the massive monitoring data, which makes it difficult to achieve the accurate structural performance assessment. In this study, structural performance assessment enabled by Sparse Bayesian Learning (SBL) and by the improved D-S evidence theory for multi-data fusion is constructed. The spectral analysis was carried out for the measured acceleration data and strain data. The multi-data feature-level fusion is performed by using the matrix linear transformation technique, which allows the construction of the SBL regression model and the quantification of its residuals with the help of Bayesian hypothesis testing. Based on the measured acceleration and strain data, structural performance assessment is investigated by introducing weighting factors and by assigning different degrees of reliability between the evidences to further carry out the structural performance degradation localization analysis. Taking the measured monitoring data of Tsing Ma Bridge (TMB) as an example, the feasibility and effectiveness of structural assessment performance is verified upon Sparse Bayesian Learning and upon the improved D-S evidence theory for multi-data fusion. Study results show that: the method considers both acceleration and strain multi-data, and the fusion of the Bayesian factor shows an increasing trend over time, which can accurately identify the degree and location of the deterioration of structural performance, obtaining more comprehensive structural performance assessment information.

     

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