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Identification and uncertainty quantification of structural flexibility for reliability analysis

机译：可靠性分析结构灵活性的识别和不确定性量化

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摘要

In recent years, research on the effect of uncertainty on the results of structural system identification in order to effectively enhance structural safety has been rarely conducted. This paper studies identification and uncertainty quantification of structural flexibility from ambient vibration measurements to develop an efficient reliability analysis. The structural deflection with a confidence interval can be predicted under static loads via the uncertainty quantification on structural flexibility, and can then be used for the reliability analysis of the deflection serviceability limit state. First, the evaluation method for the uncertainty bounds of the modal parameters by a first-order perturbation analysis is reviewed. Then, the perturbation analysis method is extended to structural flexibility identification with considering the uncertainty in the identified modal parameters and the uncertainty in the reduced mass matrix. In addition, the structural deflection and its confidence interval under static load can be simultaneously derived with the identified structural flexibility. Eventually, by combining fuzzy criteria with the confidence intervals of the deflection prediction under the ultimate design load, the reliability index of the deflection serviceability limit state can be formulated. Both numerical and experimental examples were conducted to verify the efficiency of the proposed method. This study provides a scheme to directly link the structural identification with the structural safety evaluation.
机译：近年来，很少进行对结构系统识别结果的不确定性的影响，以有效地提高结构安全性。本文研究了环境振动测量的结构灵活性的识别和不确定度量，以开发有效的可靠性分析。通过对结构柔性的不确定量化，可以在静态负载下预测具有置信区间的结构偏转，然后可以用于偏转可用性限制状态的可靠性分析。首先，综述了通过一阶扰动分析的模态参数的不确定性范围的评估方法。然后，考虑所识别的模态参数的不确定性以及降低质量矩阵中的不确定性，扰动分析方法延伸到结构灵活性识别。另外，可以随着所识别的结构灵活性同时导出静载荷下的结构偏转及其置信区间。最终，通过将模糊标准与在极限设计负载下的偏转预测的置信区间组合，可以配制偏转可靠性限制状态的可靠性指标。进行了数值和实验实施例以验证所提出的方法的效率。本研究提供了一种直接将结构识别与结构安全评估联系起来的方案。

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