This Article Full Text (OnlineFirst PDF) All Versions of this Article: 1077546309102679v1 15/12/1783    most recent Alert me when this article is cited Alert me if a correction is posted Services Email this article to a friend Similar articles in this journal Alert me to new issues of the journal Add to Saved Citations Download to citation manager Request Permissions Request Reprints Add to My Marked Citations Citing Articles Citing Articles via Google Scholar Citing Articles via Scopus Google Scholar Articles by Wong, C. N. Articles by Barhorst, A. A. Search for Related Content Social Bookmarking                         What's this?

General-order Perturbation with a Skew-symmetric Approach for Structural Health Monitoring of a Modular Beam

¹ School of Mechanical, Electronic and Industrial Engineering, University of Electronic Science and Technology of China, No.4, Section 2, North Jianshe Road, Chengdu, PR China
² Department of Mechanical Engineering, Texas Tech University, BOX 41021, Lubbock, TX 79409-1021, USA

^* To whom correspondence should be addressed.

	Abstract

A unique health monitoring method is formulated via a skew-symmetric approach in which the damage location and extent are estimated from the perturbation of a specific set of eigenparameters. The perturbed orthonormal equation is generated from the perturbation of the eigenvectors and eigenvalues to obtain the kth skew-symmetric coefficients. Meanwhile the perturbed eigenvalue equation is generated from the perturbation of the eigenparameters and linear expansion of the stiffness matrix to obtain other skew-symmetric coefficients. Throughout this process, specific permutation numbers and generalized Kronecker delta functions are manipulated. Then these skew-symmetric coefficients are simplified to obtain the symmetric coefficients. A finite element model of a modular beam is used as a test structure to investigate the applicability of the developed method. A fixed–fixed boundary condition is imposed on the two ends to approximate the actual operating situation. Different order perturbation algorithms are established based on the perturbation equations. Stiffness parameters are computed from these equations, inversely, using an optimization method. The algorithm is iterative in nature and terminates under certain criteria. Various small to large percentage systematic damaged cases are simulated under different perturbation orders. The results are compared and evaluated using health monitoring curves and estimation error manifolds, and their efficiencies and convergences are discussed.

Key Words: Skew-symmetric, perturbation, modular beam, structural health monitoring.

First published on March 31, 2009, doi:10.1177/1077546309102679

Journal of Vibration and Control 2009;15:1783.

A more recent version of this article appeared on December 1, 2009


CiteULike    Complore    Connotea    Del.icio.us    Digg    Reddit    Technorati    Twitter    What's this?