%0 Journal Article
%T 基于子结构模型剪切型框架结构损伤识别<br>Damage Detection for Shear Frame Structure Based on the Substructure ARMAX Model
%A 罗钧
%A 刘纲
%A 黄宗明
%A 
%J 振动.测试与诊断
%D 2017
%R 10.16450/j.cnki.issn.1004-6801.2017.02.014
%X 提出了适用于剪切型框架结构的损伤定位和损伤定量识别方法。首先,用剪切型框架结构的运动方程和中心差分法确定子结构的划分方式；然后，根据子结构的输入输出关系和已知输入自回归移动平均(autoregressive moving average with exogenous inputs,简称ARMAX)模型的对应关系，提出了利用子结构输入输出数据建立ARMAX模型的定阶方法；最后，利用子结构ARMAX模型系数向量的马氏距离来构造损伤识别指标，并选用受试者工作特征曲线下面积和Bhattacharyya距离进行损伤部位和损伤程度的识别。模拟算例和试验表明，提出方法能准确识别剪切型框架结构的损伤部位和损伤程度的相对大小，且具有较好的抗噪性能。<br>A damage identification method is proposed to identify the damage of a shear frame structure. First, the substructure division method is proposed based on the motion equation of the shear frame and the center difference method. Next, the order determination method of autoregressive moving-average with exogenous inputs(ARMAX) model for the substructure is proposed based on the comparison with ARMAX model and the motion equation of the substructure. Then, the vector is extracted from the elements of the ARMAX coefficient variables as a damage vector, and the Mahalanobis distance of the damage vector is defined as the damage feature. Finally, the area under a receiver operating characteristic curve is used to localize the damage and the Bhattacharyya distance is used to quantify the magnitude of the damage. Results from a simulated model and a frame structure shows that the damage location and severity of a shear frame structure can be successfully identified and a reasonable amount of noise can be eliminated.
%K 损伤识别
%K 子结构
%K ARMAX模型
%K 剪切型框架
%K 统计识别&lt
%K br&gt
%K damage detection
%K substructure approach
%K ARMAX model
%K shear frame structure
%K statistical identification
%U http://zdcs.nuaa.edu.cn/ch/reader/view_abstract.aspx?file_no=201702014&flag=1