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Research Papers

Damage Identification in Collocated Structural Systems Using Structural Markov Parameters

[+] Author and Article Information
Ramin Bighamian

Department of Mechanical Engineering,
University of Maryland,
2181 Glenn L. Martin Hall,
College Park, MD 20742
e-mail: rbighami@umd.edu

Hamid Reza Mirdamadi

Department of Mechanical Engineering,
Isfahan University of Technology,
Isfahan 8415683111, Iran
e-mail: hrmirdamadi@cc.iut.ac.ir

Jin-Oh Hahn

Department of Mechanical Engineering,
University of Maryland,
2181 Glenn L. Martin Hall,
College Park, MD 20742
e-mail: jhahn12@umd.edu

Contributed by the Dynamic Systems Division of ASME for publication in the JOURNAL OF DYNAMIC SYSTEMS, MEASUREMENT, AND CONTROL. Manuscript received May 29, 2012; final manuscript received October 7, 2014; published online November 7, 2014. Editor: Joseph Beaman.

J. Dyn. Sys., Meas., Control 137(4), 041001 (Apr 01, 2015) (9 pages) Paper No: DS-12-1162; doi: 10.1115/1.4028786 History: Received May 29, 2012; Revised October 07, 2014

This paper presents a novel approach to damage identification in a class of collocated multi-input multi-output structural systems. In the proposed approach, damage is identified via the structural Markov parameters obtained from a system identification procedure, which is in turn exploited to localize and quantify damage by evaluating relative changes occurring in the mass and stiffness matrices associated with the structural system. To this aim, an explicit relationship between structural Markov parameters versus mass and stiffness matrices is developed. The main strengths of the proposed approach are that it is capable of quantitatively identifying the occurrence of multiple damages associated with both mass and stiffness characteristics in the structural system, and it is computationally efficient in that it is solely based on the structural Markov parameters but does not necessitate costly calculations related to natural frequencies and mode shapes, making it highly attractive for structural damage detection and health monitoring applications. Numerical examples are provided to demonstrate the validity and effectiveness of the proposed approach.

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Figures

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Fig. 1

A 4-DOF mass–damper–spring system with a substructure m2

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Fig. 2

Beam structure consisting of six finite elements

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Fig. 3

Shear building consisting of eight floors

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