DocumentCode :
2650824
Title :
Second order perturbation with BFGS optimization for damage detection of fixed-fixed beam
Author :
Wong, Chun Nam ; Xiong, Jingqi ; Zhao, Yao Jiang
Author_Institution :
Sch. of Mechatron. Eng., Univ. of Electron. Sci. & Technol. of China, Chengdu, China
fYear :
2011
fDate :
17-19 June 2011
Firstpage :
908
Lastpage :
914
Abstract :
A generic method is formulated to estimate damage location and extent from the explicit perturbation terms of eigenparameters. Specific permutation numbers and generalized Kronecker delta functions are composed. Stiffness parameters are estimated from these equations, inversely, using BFGS optimization. The algorithm is iterative, and it terminates under certain criteria. A fixed-fixed beam with even elements is used as test structure to investigate the applicability of the developed approach. In six elements beam, second order algorithm converges faster to 1% d-norm for small percentage damage. Meanwhile, first order algorithm converges faster for medium percentage damage. Both first and second order algorithms are nearly the same for large percentage damage. In all percentage damages, second order algorithm converges faster to the minimum percentage error vectors. For eight elements large percentage damage and ten elements small percentage damage, second order algorithm converges faster to their termination criteria.
Keywords :
beams (structures); eigenvalues and eigenfunctions; elasticity; flaw detection; optimisation; perturbation techniques; BFGS optimization; damage detection; damage location; eigenparameters; fixed-fixed beam; generalized Kronecker delta functions; minimum percentage error vectors; permutation numbers; second order perturbation; stiffness parameters; Eigenvalues and eigenfunctions; Equations; Estimation; Manganese; Mathematical model; Monitoring; Systematics; BFGS optimization; damage detection; fixed-fixed beam; second order perturbation;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Quality, Reliability, Risk, Maintenance, and Safety Engineering (ICQR2MSE), 2011 International Conference on
Conference_Location :
Xi´an
Print_ISBN :
978-1-4577-1229-6
Type :
conf
DOI :
10.1109/ICQR2MSE.2011.5976752
Filename :
5976752
Link To Document :
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