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Set‐membership identification technique for structural damage based on the dynamic responses with noises
Author(s) -
Shi Qinghe,
Wang Xiaojun,
Wang Lei,
Li Yunlong,
Chen Xiao
Publication year - 2017
Publication title -
structural control and health monitoring
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.587
H-Index - 62
eISSN - 1545-2263
pISSN - 1545-2255
DOI - 10.1002/stc.1868
Subject(s) - interval (graph theory) , identification (biology) , stiffness , intersection (aeronautics) , acceleration , algorithm , finite element method , set (abstract data type) , noise (video) , series (stratigraphy) , taylor series , structural engineering , signal (programming language) , computer science , control theory (sociology) , mathematics , engineering , artificial intelligence , mathematical analysis , physics , paleontology , botany , control (management) , classical mechanics , combinatorics , image (mathematics) , biology , programming language , aerospace engineering
Summary Based on the availability of measured acceleration signals of structures, the interval analysis technique and set‐membership identification concept are combined to identify the structural damage in this paper. Because of the insufficiency and uncertainty of information obtained from measurements, the noises of measurements are enveloped by interval numbers. Via the first‐order Taylor series expansion, the interval bounds of the element stiffness parameters (ESPs) of both undamaged and damaged structures are derived by updating the reference finite element model. Through the intersection operations of intervals of the ESP obtained from dynamic responses in different time periods, the estimate intervals of the ESP are refined. Three damage indexes as stiffness reduce factor, possibility of damage existence, and damage measure index are introduced to identify the damage in the structure. Even though the dynamic responses are with low signal‐to‐noise ratio, the injury of structure can be detected by the proposed method. Two numerical examples and an experimental example are performed to demonstrate the feasibility and effectiveness of the proposed technique. The results show that the proposed method can improve the accuracy of damage diagnosis compared with the deterministic damage identification method. Copyright © 2016 John Wiley & Sons, Ltd.