Structural flexibility identification from impact test data through a subband estimation method

Ming‐Sheng Xue, Chun‐Xu Qu, Ting‐Hua Yi, Hong‐Nan Li
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Abstract

SummaryFlexibility is an important parameter reflecting bridge load‐carrying capacity. Dynamic testing is a fast and effective method to obtain the structural modal flexibility of small‐ and medium‐span bridges. The Deterministic‐stochastic subspace identification (DSI) algorithm is a well‐established structure identification method in the time domain. However, the estimation of damping, especially the modal scaling factor, is not always reliable due to inevitable measurement noise, which directly affects the identification accuracy of flexibility. This paper proposes a maximum likelihood estimation method in subbands (SMLE), which can be regarded as an add‐on method of the DSI algorithm because the initial parameters are obtained from the DSI algorithm. The processing of frequency band division is implemented first, and the frequency response function curve in each subband of the whole frequency range is fit separately. Then, subband cyclic iteration is proposed to improve the identification accuracy in a closely spaced mode system. The proposed SMLE method maintains the advantages of the DSI algorithm while improving the accuracy of parameter estimation and flexibility identification. Two lumped mass models are used to verify that the proposed method can effectively improve estimates to obtain a precise flexibility matrix and predict the displacement of the structure under static loading. Experimental example of a continuous girder bridge is considered to verify the availability and effectiveness of the proposed method in practice.
通过子带估计方法从冲击试验数据中识别结构柔性
摘要柔性是反映桥梁承载能力的重要参数。动态测试是获取中小跨径桥梁结构模态柔性的一种快速有效的方法。确定性-随机子空间识别(DSI)算法是一种成熟的时域结构识别方法。然而,由于不可避免的测量噪声,阻尼尤其是模态比例因子的估计并不总是可靠的,这直接影响了柔性的识别精度。本文提出了一种子带最大似然估计方法(SMLE),由于初始参数是从 DSI 算法中获得的,因此可以将其视为 DSI 算法的附加方法。首先进行频带划分处理,分别拟合全频段各子带的频响函数曲线。然后,提出子带循环迭代法,以提高紧密间隔模式系统的识别精度。所提出的 SMLE 方法既保持了 DSI 算法的优点,又提高了参数估计和柔性识别的精度。我们使用了两个质量块模型来验证所提出的方法是否能有效提高估算精度,从而获得精确的柔性矩阵,并预测结构在静载荷作用下的位移。以一座连续梁桥为实验实例,验证了所提方法在实践中的可用性和有效性。
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