基于柔度曲率矩阵的加筋板结构损伤识别方法  

Damage detection in stiffened panel based on flexibility curvature matrix

作　　者：马骏[1] 陈立 赵德有[1] 

机构地区：[1]大连理工大学船舶工程学院,辽宁大连116024 [2]大连船舶重工集团设计研究所有限公司,辽宁大连116021

出　　处：《船舶力学》2011年第8期881-891,共11页Journal of Ship Mechanics

摘　　要：为了对船舶工程中典型结构即加筋板结构的损伤部位进行准确的损伤识别分析,文章提出了一种基于柔度曲率矩阵的损伤识别方法并进行了仿真分析。首先对加筋板结构进行单元划分,以结构响应通过矩阵的列最大值来建立节点柔度矩阵,并通过二阶微分对柔度值的变化进行放大进而得到柔度曲率矩阵,最后通过柔度曲率矩阵图或者柔度曲率矩阵的行(列)曲率图来判断损伤位置。算例分析表明,该方法损伤定位准确并且具有较高的灵敏度,避免了使用原未损结构的模态参数,只需损伤结构的一阶或者前几阶模态信息就可以有效地进行损伤识别分析。通过大量模拟,给出了加筋板结构损伤的判别图。To detect and analyse the damage part of stiffened panel of the representative structure in ship engineering,a method,which is based on curvature flexibility matrix for the numerical simulation is presented.Instead of directly comparing the curvatures before and after damage,the method here uses modal parameters only in the damaged structure to detect the damage and consists of four steps：First,the stiffened panel is meshed into square elements.Second,the node flexibility matrix can be built with regard to structure response using absolute maximum in each column.Third,the curvature flexibility matrix is obtained in amplifying the variation of flexibility through second order differential coefficient.And finally,the damage location can be detected by the figure of flexibility curvature matrix or the figure of flexibility of array or column in the flexibility curvature matrix.The numerical analysis results indicate that this method is effective,useful and needs the lower mode data even the first mode data of the damaged structure.The detecting chart of damage detection in stiffened panel is obtained by lots of simulations.

关 键 词：加筋板 损伤识别 柔度矩阵 柔度曲率 

分 类 号：U661.44[交通运输工程—船舶及航道工程]