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灰色相关性分析在结构静力损伤识别中的应用
引用本文:陈孝珍,朱宏平,陈传尧.灰色相关性分析在结构静力损伤识别中的应用[J].力学与实践,2005,27(3):60-64,68.
作者姓名:陈孝珍  朱宏平  陈传尧
作者单位:华中科技大学土木与力学学院,武汉,430074
基金项目:国家自然科学基金(50378041) 博士生专项基金(20030487016)资助.
摘    要:基于灰色理论的相关性分析方法,首次提出了灰色曲率关联系数的概念并将其应用到结构的静力损伤识别中,提出了对局部损伤十分敏感的静态位移曲率置信因子SDCACi,通过该因子的大小对各节点所连接的单元是否会发生损伤进行精确的判断,然后运用最小二乘法对损伤区域的损伤程度进行识别.并将该方法应用于两端固支梁的损伤识别中,由识别结果可以证明:不论测量数据(用有限元仿真计算并考虑了测量误差)的多少,该方法对结构中的单损伤和多损伤都能进行准确的定位,因此该方法在大型结构及复杂结构的损伤识别中具有广阔的应用前景.

关 键 词:灰色关联系数  静态位移曲率  置信因子  静力损伤  识别模型

THE APPLICATION OF GREY CORRELATION ANALYSIS FOR THE STRUCTURAL STATIC DAMAGE DETECTION
CHEN Xiaozhen,Zhu Hongping,Chen Chuanyao.THE APPLICATION OF GREY CORRELATION ANALYSIS FOR THE STRUCTURAL STATIC DAMAGE DETECTION[J].Mechanics and Engineering,2005,27(3):60-64,68.
Authors:CHEN Xiaozhen  Zhu Hongping  Chen Chuanyao
Abstract:A new structural damage identification method using static displacement of limited tests based on the grey correlation theory is first proposed in this paper. The grey correlation coefficient of displacement curvature and static displacement curvature assurance coefficient is defined and used to locate damage in the structure firstly, and an iterative estimation scheme for solving nonlinear optimization programming problems based on the quadratic programming technique is used to identify the damage magnitude. A numerical example of a two-fixed beam with single or multiple damages is used to examine the capability of the proposed method to locate and identify damages. The factors of measurement noise and incomplete test data are also discussed. The numerical results show that the damage in the structure can be identified correctly through static displacement curvature assurance coefficient, and the damage magnitude can be identified with a high degree of accuracy, regardless of the number of measured displacement nodes. This proposed method requires only limited static test data, which is easily available in practice, and has wide applications in structural damage detection.
Keywords:grey relation coefficient  static displacement curvature assurance coefficient  curvature relation coefficient  static damage detection
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