基于伪传递函数的高耸结构损伤识别
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TU12;TU311.3;TH113.1

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国家自然科学基金资助项目(50978130,51178211)


High-Rise Structure Damage Identification Based on Pseudo-Transfer Function
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    摘要:

    基于传递函数可以反映结构输入输出相互关系(结构特性)的思想,提出了一种基于具有额外输入的自回归模型(autoregressive model with exogenous input,简称ARX模型)建立伪传递函数的损伤定位方法。首先,根据各自由度之间的关联性对其进行分组,选取其中一个自由度的响应作为参考通道即系统输出,将与其相关联的其他自由度响应信号作为系统输入,利用ARX模型,建立各分组在结构完好工况下的伪传递函数,将其作为基准伪传递函数;然后,利用基准伪传递函数对待识别工况的响应进行预测,计算其拟合度;最后,通过定义待识别工况与完好工况之间拟合度的差异作为损伤指标,对结构损伤进行识别。通过广州塔缩减模型算例分析表明,该方法在有噪声的情况下,可以很好地发现损伤并对结构损伤位置和损伤程度进行识别。

    Abstract:

    A novel damage location method, which is based on the pseudo-transfer function (PTF) established by the ARX model (autoregressive model with eXogenous input), is proposed based on the conception of the transform function reflected the relationship of the input-output (structural characteristics). According to the correlation with the degree of freedom (DOF), the DOF is grouped, the response of one DOF is chosen as a reference channel (which is the ARX model output), and the response of the other DOF correlating with the reference channel is taken as the input of the ARX model. The reference PTF is established using the responses of the health structure. After creating the reference PTF, these models are used to predict the data from the damaged structure. The difference between the fit ratios is used as the damage feature. The methodology is applied to the reduced finite element model of the Canton Tower, and the thresh old of damage is established using the change of the fit ratios of the responses with Gaussian white noise of the health structure. The results show that this methodology is successful in damage identification and localization, and can also determine the severity of damage under noise effects.

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  • 在线发布日期: 2024-09-02
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