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《Mechanics and Engineering》 2005-03
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THE APPLICATION OF GREY CORRELATION ANALYSIS FOR THE STRUCTURAL STATIC DAMAGE DETECTION

CHEN Xiaozhen ZHU Hongping CHEN Chuanyao (School of Civil Engineering & Mechanics, Huazhong University of Science & Technology, Wuhan 430074, China)  
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.
【Fund】: 国家自然科学基金(50378041) 博士生专项基金(20030487016)资助.
【CateGory Index】: TU311.1
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