基于广义柔度曲率信息熵的梁结构损伤识别方法  

Damage identification of beam structure based on generalized flexibility curvature information entropy

作　　者：项长生[1,2] 李凌云 周宇 王立宪[1,2] 吴侃 XIANG Changsheng;LI Lingyun;ZHOU Yu;WANG Lixian;WU Kan(College of Civil Engineering,Lanzhou University of Technology,Lanzhou,Gansu 730050,China;Western Engineering Research Center of Disaster Mitigation in Civil Engineering of Ministry of Education,Lanzhou,Gansu 730050,China;College of Civil Engineering,Anhui Jianzhu University,Hefei,Anhui 230601,China)

机构地区：[1]兰州理工大学土木工程学院,甘肃兰州730050 [2]兰州理工大学西部土木工程防灾减灾教育部工程研究中心,甘肃兰州730050 [3]安徽建筑大学土木工程学院,安徽合肥230601

出　　处：《福州大学学报（自然科学版）》2020年第5期632-638,共7页Journal of Fuzhou University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(51868045,51608245);安徽省高校省级自然科学研究重点资助项目(KJ2019A0746);安徽建筑大学博士启动基金资助项目(2019QDZ08)。

摘　　要：结合广义柔度矩阵对低阶损伤模态的敏感性与信息熵对系统非线性显著的突显作用,提出广义柔度曲率信息熵指标.新指标以广义柔度曲率矩阵对角向量中每个元素与对角元素之和的比值作为整体概率函数,构造新的信息熵函数识别指标.使用简支梁和连续梁两种不同形式的梁结构算例对所提指标的损伤识别能力进行分析验证,并采用服从截尾高斯分布的误差模型对所提指标的抗噪性进行分析.结果表明,广义柔度曲率信息熵指标能有效识别结构单处、对称位置处及多处损伤,且在误差不大于10%的情况下具有较好的识别精度.In this paper,a new index named generalized flexibility curvature information entropy(GFCIE)is proposed,which is combined the sensitivity of generalized compliance matrix to low-order damage modes with the significant effect of information entropy on system nonlinearity.It can be derived by the probability function,which can be deduced by taking the ratio of each diagonal element to the sum of total diagonal elements into the generalized flexibility curvature matrix.The damage identification of the proposed index is verified to be effective by using two different types of beam structures:simply supported beam and continuous beam,and also the anti-noisy ability of the proposed index is analyzed by applying the error model subject to truncated Gaussian distribution.The result shows that the generalized flexibility curvature information entropy index can effectively identify the damage at single,symmetric and multiple locations of beam structures,and has a better identified accuracy under the condition of no more than 10%error.

关 键 词：广义柔度矩阵 信息熵 连续梁桥 截尾高斯分布 损伤识别 

分 类 号：TU311[建筑科学—结构工程] TU37