BFGS perturbation method for damage detection of fixed-fixed beam

doi:10.16450/j.cnki.issn.1004-6801.2016.03.021

CORC > 兰州理工大学 > 兰州理工大学

	BFGS perturbation method for damage detection of fixed-fixed beam
	Huang, Zhennan 2; Hu, Biao 1
刊名	Zhendong Ceshi Yu Zhenduan/Journal of Vibration, Measurement and Diagnosis
	2016-06-01
卷号	36 期号:3 页码:536-540
关键词	Eigenvalues and eigenfunctions Elastic moduli Iterative methods Perturbation techniques Stiffness matrix BFGS perturbation Fixed-fixed beams Perturbation equation Perturbation expansions Quasi Newton iterations Quasi-Newton optimization Reduced order models Termination criteria
ISSN号	10046801
DOI	10.16450/j.cnki.issn.1004-6801.2016.03.021
英文摘要	Using the eigenvalue problem of damaged structure, the BFGS perturbation method is constructed to detect the damage situation of a fixed beam. Damaged locations and their extents of fixed-fixed beam with multiple elements can be accurately obtained in a few iterations using several vibration modes. First, perturbation expansions of the stiffness matrix, eigenvalue and eigenvector perturbation equations of the damaged structure are carried out and will be substituted into the eigenvalue equation of the damaged structure. Then, eigen-parameter p-th order perturbation terms of all orders are derived explicitly and directly by gathering p-th elastic modulus perturbed terms. Finally, by substituting the perturbation terms into the perturbation equations, multiple elastic moduli are optimized using the BFGS quasi-Newton iteration. Its objective function is generated from the summation of the remaining terms in the perturbation equation. Using the finite element model of fixed-fixed beam, the applicability of the algorithm under limited modes and reduced-order models is validated by damage detections on the five to nine elements beam. In termination criterion aspect, convergences of different iteration statuses are compared using d-norm and t-norm indicators. Various element numbers and their damage extents are accurately detected with 0.06 to 0.001 elastic modulus errors. © 2016, Editorial Department of JVMD. All right reserved.
语种	中文
出版者	Nanjing University of Aeronautics an Astronautics
内容类型	期刊论文
源URL	[http://ir.lut.edu.cn/handle/2XXMBERH/112947]
专题	兰州理工大学
作者单位	1.School of Mechanical, Electronic and Industrial Engineering, University of Electronic Science and Technology of China, Chengdu; 611731, China 2.School of Mechanical and Electronical Engineering, Lanzhou University of Technology, Lanzhou; 730050, China;
推荐引用方式 GB/T 7714	Huang, Zhennan,Hu, Biao. BFGS perturbation method for damage detection of fixed-fixed beam[J]. Zhendong Ceshi Yu Zhenduan/Journal of Vibration, Measurement and Diagnosis,2016,36(3):536-540.
APA	Huang, Zhennan,&Hu, Biao.(2016).BFGS perturbation method for damage detection of fixed-fixed beam.Zhendong Ceshi Yu Zhenduan/Journal of Vibration, Measurement and Diagnosis,36(3),536-540.
MLA	Huang, Zhennan,et al."BFGS perturbation method for damage detection of fixed-fixed beam".Zhendong Ceshi Yu Zhenduan/Journal of Vibration, Measurement and Diagnosis 36.3(2016):536-540.