基于Hilbert-Huang变换与AR模型的结构损伤预警研究  

Study on structural damage alarming based on Hilbert-Huang Transformation and AR model

作　　者：华盼盼[1] 叶天帅 

机构地区：[1]青岛理工大学土木工程学院,山东青岛266033

出　　处：《工程建设》2016年第2期16-19,40,共5页Engineering Construction

摘　　要：利用Hilbert-Huang变换(HHT)从实测加速度响应中提取固有模态函数(IMF),对IMF进行Hilbert变换,利用AR模型对其进行拟合,提取AR模型的残差,利用残差的方差构造结构损伤预警指标,通过该指标进行结构损伤预警研究。数值模拟分析表明,基于Hilbert-Huang变换与AR模型的结构损伤预警方法不仅可以预警结构损伤,而且能够定性的估计损伤程度。The Hilbert-Huang Transformation（HHT） was used to extract the intrinsic mode function（IMF） from the measured acceleration response. Then Hilbert transformation was conducted for IMF, and it was fitted using AR model, the residual error of AR model was extracted and the variance of residuals was used to form structural damage Manning indices ,which were used for the structural damage alarming research. The numerical simulation analysis has proven that the method of structural damage alarming method based on Hilbert-Huang Transformation and AR model can not only warn the structural damage early, but also can estimate the damage degree qualitatively.

关 键 词：结构损伤预警 HILBERT-HUANG变换 AR模型 残差 

分 类 号：TU312.3[建筑科学—结构工程]