caa a22 4500 445812044 CHVBK 20180317145214.0 cr unu---uuuuu 170323e20110401xx s 000 0 eng 10.1007/s00419-010-0421-z doi (NATIONALLICENCE)springer-10.1007/s00419-010-0421-z Generalized-order perturbation with explicit coefficient for damage detection of modular beam [Elektronische Daten] [Chun Wong, Hong-Zhong Huang, Jingqi Xiong, Hua Lan] A general method is formulated to estimate damage location and extent from the explicit perturbation terms in specific set of eigenvectors and eigenvalues. At first, perturbed orthonormal equation is generated from the perturbation of eigenvectors and eigenvalues to obtain the k-th explicit perturbation coefficients. At second, perturbed eigenvalue equation is generated from the perturbation of eigenvector and eigenvalue, and first-order expansion of the stiffness matrix to obtain other explicit perturbation coefficients. Stiffness parameters are computed from these equations using an optimization method. The algorithm is iterative and terminates under certain criteria. A fixed-fixed modular beam with various numbers of elements is used as test structure to investigate the applicability of the developed approach. By comparison with the Euler-Bernoulli beam, discretization errors are analyzed. In six elements beam, first-order algorithm converges faster for small percentage damage. Second-order algorithm is more efficient for medium percentage damage. For large percentage damage, the second-order algorithm converges more effectively. Meanwhile, for eight elements large percentage damage and ten elements small percentage damage, second-order algorithm converges faster to the termination criterion. Springer-Verlag, 2010 Explicit coefficient nationallicence Perturbed eigenvector nationallicence Perturbed eigenvalue nationallicence Modular beam nationallicence Damage detection nationallicence Wong Chun School of Mechatronic, Mechanical, Electronic and Industrial Engineering, University of Electronic Science and Technology of China, No.4 Section 2, Jianshe North Road, 610054, Chengdu, Sichuan, People's Republic of China aut Huang Hong-Zhong School of Mechatronic, Mechanical, Electronic and Industrial Engineering, University of Electronic Science and Technology of China, No.4 Section 2, Jianshe North Road, 610054, Chengdu, Sichuan, People's Republic of China aut Xiong Jingqi School of Mechatronic, Mechanical, Electronic and Industrial Engineering, University of Electronic Science and Technology of China, No.4 Section 2, Jianshe North Road, 610054, Chengdu, Sichuan, People's Republic of China aut Lan Hua Jinchuan Group Ltd., Gansu, People's Republic of China aut Archive of Applied Mechanics Springer-Verlag 81/4(2011-04-01), 451-472 0939-1533 81:4<451 2011 81 419 https://doi.org/10.1007/s00419-010-0421-z text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00419-010-0421-z text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Wong Chun School of Mechatronic, Mechanical, Electronic and Industrial Engineering, University of Electronic Science and Technology of China, No.4 Section 2, Jianshe North Road, 610054, Chengdu, Sichuan, People's Republic of China aut NATIONALLICENCE 700 1- Huang Hong-Zhong School of Mechatronic, Mechanical, Electronic and Industrial Engineering, University of Electronic Science and Technology of China, No.4 Section 2, Jianshe North Road, 610054, Chengdu, Sichuan, People's Republic of China aut NATIONALLICENCE 700 1- Xiong Jingqi School of Mechatronic, Mechanical, Electronic and Industrial Engineering, University of Electronic Science and Technology of China, No.4 Section 2, Jianshe North Road, 610054, Chengdu, Sichuan, People's Republic of China aut NATIONALLICENCE 700 1- Lan Hua Jinchuan Group Ltd., Gansu, People's Republic of China aut NATIONALLICENCE 773 0- Archive of Applied Mechanics Springer-Verlag 81/4(2011-04-01), 451-472 0939-1533 81:4<451 2011 81 419 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer