基于振动功率流的周期连续梁损伤识别  

Damage identification of periodic continuous beams based on vibration power flow

作　　者：吴巧云 李雨熹 罗和弦 荆国强[4] 丁兰 WU Qiaoyun;LI Yuxi;LUO Hexian;JING Guoqiang;DING Lan(Key Laboratory of Earthquake Engineering and Engineering Vibration,Institute of Engineering Mechanics,China Earthquake Administration,Harbin 150080,China;Key Laboratory of Earthquake Disaster Mitigation,Ministry of Emergency Management,Harbin 150080,China;School of Civil Engineering and Architecture,Wuhan Institute of Technology,Wuhan 430073,China;China Railway Major Bridge Engineering Group Co.,LTD.,Wuhan 430050;Faculty of Engineering,China University of Geosciences,Wuhan 430074,China)

机构地区：[1]中国地震局工程力学研究所地震工程与工程振动重点实验室,黑龙江哈尔滨150080 [2]地震灾害防治应急管理部重点实验室,黑龙江哈尔滨150080 [3]武汉工程大学土木工程与建筑学院,湖北武汉430073 [4]中国中铁大桥局集团有限公司,湖北武汉430050 [5]中国地质大学(武汉)工程学院,湖北武汉430074

出　　处：《地震工程与工程振动》2022年第2期78-88,共11页Earthquake Engineering and Engineering Dynamics

基　　金：中国地震局工程力学研究所地震工程与工程振动重点实验室(2019D01);国家自然科学基金项目(52078395、51908521);桥梁结构健康与安全国家重点实验室开放课题(BHSKL19-07-GF)。

摘　　要：为了识别无限长周期梁中的损伤,文中提出了一种基于振动功率流的裂纹识别方法。以无限长周期连续Euler梁为研究对象,假设损伤为裂纹形式,采用柔度弹簧对裂纹进行描述,结合周期结构理论和传递矩阵方法,分别推导了健康与损伤连续梁的传播功率流和输入功率流,得到了不同激励位置下的健康周期连续梁的输入功率流曲线及在跨中激励时不同损伤位置和损伤程度下的损伤梁输入功率流曲线。进而通过分析归一化振动输入功率流与损伤位置和损伤程度的关系,证实了利用振动功率流方法进行周期连续梁损伤识别的可行性。In order to identify damage in infinitely period beams,a crack identification method is proposed based on the vibration power flow.A damaged continuous infinite period Euler beam is studied,and the damage is assumed to be in the form of a crack,which is described as a flexible spring.Combining the periodic structure theory and the transfer matrix method,the input and propagated power flow formulations in health and damage beams are derived respectively.The input power flow of the healthy period continuous beam under different excitation positions,as well as the input power flow of the damaged beam of different damage positions and damage degrees under mid-span excitation are investigated in detail.Through the relationship between the normalized input power flow and the dam⁃age position and degree,the power flow method provides viable means for identifying the periodic continuous beam.

关 键 词：振动功率流 周期连续梁 损伤识别 周期结构理论 传递矩阵 

分 类 号：TU318[建筑科学—结构工程]