Finite element model (FEM) is a broadly used numerical tool in structural damage detection. In such applications, damage parameters in FEM are estimated by minimizing the differences between experimental modal analysis data and the corresponding FEM model prediction. Very limited works exist on analyzing the identifiability of the FEM used in such applications. In this paper, the identifiability of FEM-based structural damage detection is investigated for undamped elastic beams. We theoretically proved that damage severity at a given location in a uniform beam is identifiable by reformulating the FEM into a linear time invariant (LTI) system. A numerical algorithm is also proposed for checking the identifiability issue of multiple damage locations. Numerical case studies are provided to validate the effectiveness and usefulness of the proposed framework.
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December 2016
Research-Article
Identifiability Analysis of Finite Element Models for Vibration Response-Based Structural Damage Detection in Elastic Beams
Yuhang Liu
,
Yuhang Liu
Department of Industrial
and Systems Engineering,
University of Wisconsin-Madison, Madison,
3255 Mechanical Engineering,
1513 University Avenue,
Madison, WI 53706
e-mail: liu427@wisc.edu
and Systems Engineering,
University of Wisconsin-Madison, Madison,
3255 Mechanical Engineering,
1513 University Avenue,
Madison, WI 53706
e-mail: liu427@wisc.edu
Search for other works by this author on:
Shiyu Zhou
,
Shiyu Zhou
Department of Industrial
and Systems Engineering,
University of Wisconsin-Madison, Madison,
1513 University Avenue,
Madison, WI 53706
e-mail: shiyuzhou@wisc.edu
and Systems Engineering,
University of Wisconsin-Madison, Madison,
1513 University Avenue,
Madison, WI 53706
e-mail: shiyuzhou@wisc.edu
Search for other works by this author on:
Jiong Tang
Jiong Tang
Department of Mechanical Engineering,
University of Connecticut,
Storrs, Storrs, CT 06269
e-mail: jtang@engr.uconn.edu
University of Connecticut,
Storrs, Storrs, CT 06269
e-mail: jtang@engr.uconn.edu
Search for other works by this author on:
Yuhang Liu
Department of Industrial
and Systems Engineering,
University of Wisconsin-Madison, Madison,
3255 Mechanical Engineering,
1513 University Avenue,
Madison, WI 53706
e-mail: liu427@wisc.edu
and Systems Engineering,
University of Wisconsin-Madison, Madison,
3255 Mechanical Engineering,
1513 University Avenue,
Madison, WI 53706
e-mail: liu427@wisc.edu
Shiyu Zhou
Department of Industrial
and Systems Engineering,
University of Wisconsin-Madison, Madison,
1513 University Avenue,
Madison, WI 53706
e-mail: shiyuzhou@wisc.edu
and Systems Engineering,
University of Wisconsin-Madison, Madison,
1513 University Avenue,
Madison, WI 53706
e-mail: shiyuzhou@wisc.edu
Jiong Tang
Department of Mechanical Engineering,
University of Connecticut,
Storrs, Storrs, CT 06269
e-mail: jtang@engr.uconn.edu
University of Connecticut,
Storrs, Storrs, CT 06269
e-mail: jtang@engr.uconn.edu
Contributed by the Dynamic Systems Division of ASME for publication in the JOURNAL OF DYNAMIC SYSTEMS, MEASUREMENT, AND CONTROL. Manuscript received October 25, 2015; final manuscript received June 29, 2016; published online August 19, 2016. Assoc. Editor: M. Porfiri.
1Corresponding author.
J. Dyn. Sys., Meas., Control. Dec 2016, 138(12): 121006 (12 pages)
Published Online: August 19, 2016
Article history
Received:
October 25, 2015
Revised:
June 29, 2016
Citation
Liu, Y., Zhou, S., and Tang, J. (August 19, 2016). "Identifiability Analysis of Finite Element Models for Vibration Response-Based Structural Damage Detection in Elastic Beams." ASME. J. Dyn. Sys., Meas., Control. December 2016; 138(12): 121006. https://doi.org/10.1115/1.4034155
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