基于最小秩修正的结构损伤识别方法  

STRUCTURAL DAMAGE IDENTIFICATION BASED ON THE MINIMUM RANK UPDATE METHOD

作　　者：杨秋伟[1] 刘济科[1] 

机构地区：[1]中山大学应用力学与工程系,广州510275

出　　处：《机械强度》2007年第6期891-893,共3页Journal of Mechanical Strength

基　　金：高等学校博士学科点专项科研基金(20050558032);广东省自然科学基金(05003295);香港中山大学高等学术研究中心基金(06M8)资助项目~~

摘　　要：提出一种改进的最小秩修正法。通过引入损伤定位向量,首先确定损伤单元的个数,再由最小秩修正法求解损伤程度。该方法较好地解决了运用最小秩修正法时必须采用正确的模态个数的问题。以一个平面桁架结构为例验证该方法,并对测量噪音的影响进行讨论。结果表明,所提方法是准确可靠的,且对测量噪音有很强的鲁棒性。Detection, location and quantification of damage in a structure via techniques that examine changes in measured structural vibration response have attracted much attention in recent years. The presented technique improved the minimum rank update method to detect structural damage. By using the residual force equation and the stiffness matrix disassembly technique, a damage localization vector is defined firstly to determine the number of damaged elements. Then the correct number of modes used in the minimum rank update method can be determined. Finally, the damage extents can be obtained by making use of the minimum rank elemental update technique. A plane truss structure is used as a numerical example to demonstrate the presented method and the effect of measurement noise is discussed. Results show that the proposed method is accurate and robust in the structural damage identification.

关 键 词：损伤识别 最小秩修正 损伤定位向量 

分 类 号：TH113.1[机械工程—机械设计及理论] O346.5[理学—固体力学]