基于结构随机场的桥梁移动荷载统计矩识别

Identification of statistical moments of moving loads on bridge structures with spatial random fields

  • 摘要: 由于结构、材料不确定等因素,桥梁结构往往具有随机性,因此,基于桥梁结构的响应识别得到的桥梁所受移动荷载也是不确定的,但相关研究还较少。为此,本文研究桥梁结构为空间随机场的情况下,有效识别移动荷载的统计矩。提出的识别方法基于桥梁结构随机场的 Karhunen?Loeve(KL)展开、未知输入的卡尔曼滤波与改进的两点估计法的结合。桥梁结构参数为空间相关的随机场,通过 KL 展开将随机场转化为多随机变量的组合。在多随机变量下的不确定传播中,利用改进的两点估计法,将识别移动荷载统计矩问题转化为若干个确定性识别移动荷载识别的逆问题。采用未知输入的卡尔曼滤波进行确定性识别移动荷载,可有效估计识别移动荷载的统计矩。通过数值模拟算例验证了提出的估计方法的有效性。

     

    Abstract: Bridge structures are often of random characters due to the uncertainty of materials and other factors. Therefore, the identified moving loads on bridges based on the responses of the bridge structure are also uncertain. However, there are only a few of relevant researches. In this paper, its proposed to explore the effective identification of the statistical moments of the identified moving loads on bridge structures with random fields. The proposed method is based on the combination of Karhunen-Loeve (KL)expansion of the random fields of bridge structural parameters, Kalman filter with unknown input (KF-UI) and the improved twopoint estimation method (I2PEM). First, the spatially correlated random fields of bridge structural parameters are transformed into a combination of multiple random variables through KL expansion. Then, in the uncertainty propagation of multiple random variables, the I2PEM is adopted so the uncertain inverse problem is transformed into several deterministic inverse problems. Finally,the identification of moving load based on KF-UI is performed on the selected points of each random variable, and the statistical moments of the moving loads are efficiently estimated. The proposed estimation method is successfully verified by a numerical simulation example.

     

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