Damage Identification of Bridge Based on Chebyshev Polynomial Fitting and Fuzzy Logic without Considering Baseline Model Parameters
Damage Identification of Bridge Based on Chebyshev Polynomial Fitting and Fuzzy Logic without Considering Baseline Model Parameters
复制标题
不考虑基线模型参数的基于切比雪夫多项式拟合和模糊逻辑的桥梁损伤识别
DOI：
10.1155/2015/187956
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发表时间：
2015
影响因子：
1.6
通讯作者：
Gong Ya-Feng
中科院分区：
文献类型：
--
作者：
Jiao Yu-Bo;Liu Han-Bing;Cheng Yong-Chun;Gong Ya-Feng
本文提出了一种基于Chebyshev多项式拟合和模糊逻辑系统的桥梁损伤识别方法。基于位移模态振型，通过中心差分近似，得到损伤桥梁的模态曲率。根据损伤结构的模态曲率，在不考虑基线参数的情况下，采用切比雪夫多项式拟合得到未损伤结构的模态曲率。因此，模态曲率差可用于损伤定位。然后，将归一化模态曲率差作为模糊逻辑系统的输入变量进行损伤状态评估。通过对一简支梁桥的数值模拟，验证了该方法的可行性。
The paper presents an effective approach for damage identification of bridge based on Chebyshev polynomial fitting and fuzzy logic systems without considering baseline model data. The modal curvature of damaged bridge can be obtained through central difference approximation based on displacement modal shape. Depending on the modal curvature of damaged structure, Chebyshev polynomial fitting is applied to acquire the curvature of undamaged one without considering baseline parameters. Therefore, modal curvature difference can be derived and used for damage localizing. Subsequently, the normalized modal curvature difference is treated as input variable of fuzzy logic systems for damage condition assessment. Numerical simulation on a simply supported bridge was carried out to demonstrate the feasibility of the proposed method.