区间型频率指标在结构损伤识别中的应用研究
山东建筑大学, 土木工程学院建筑结构加固改造与地下空间工程教育部重点实验室, 山东济南 250101
| 摘 要： | 土木工程结构的性能指标往往在实际取值上具有不确定性，影响到结构损伤识别的效果。为此，基于固有频率指标，提出了采用小样本分析来获取区间型频率代表值进而进行损伤识别的方法。首先对小样本分析问题进行了专题研究，通过实例分别说明了与正态分布、均匀分布有关的小样本分析方法，明确了区间型参数取值的具体获取方式，然后基于区间型频率代表值提出了应用于损伤识别的两种具体方式：(1) 取区间的中值作为频率代表值：可充分照顾确定数运算的习惯，常规的损伤识别方法都可直接适用；(2) 直接取区间值作为频率代表值：此时可直接利用区间型的频率值对参数变化的敏感性来进行损伤是否出现的判别，但需要做进一步的研究来识别损伤的位置与程度。最后结合两座大型桥梁（青岛沧口航道桥、上海南浦大桥）给出了应用实例说明。 |
| 关 键 词： | 小样本; 区间数; 固有频率; 损伤识别 |
| DOI： | 10.57237/j.cear.2023.02.005 |
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收稿日期: 2023-07-20
接受日期: 2023-09-05
在线出版日期: 2023-09-08
Study on the Application of Interval Frequency Index in Structural Damage Identification
Key Laboratory of Building Structural Retrofitting and Underground Space Engineering of Ministry of Education, School of Civil Engineering, Shandong Jianzhu University, Jinan 250101, China
| Abstract: | Most performance indices of civil engineering structures have uncertainty in actual values, which affect the effect of structural damage detection. For this reason, based on the natural frequency index, a method using small sample analysis to obtain the interval representative value of the frequency was proposed for damage detection. Firstly, a special study on the small sample analysis was carried out: the small sample analysis methods related to normal distribution and uniform distribution were explained through examples and then the specific method of obtaining interval parameter values was clarified. Subsequently, two specific damage detection methods based on the interval representative value of the frequency were proposed: (1) Taking the median of the interval as the frequency representative value, which can fully take into account the habit of deterministic operation and apply conventional damage identification methods directly; (2) Directly taking interval values as frequency representative values, which can distinguish whether damage occurs directly by the sensitivity of interval type frequency values to parameter changes. Further research is needed to identify the location and degree of damage. Finally, two large-scale bridges (Qingdao Cangkou Waterway Bridge and Shanghai Nanpu Bridge) were combined to provide application examples for explanation. |
| Keywords: | Small Sample; Interval Number; Natural Frequency; Damage Detection |
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