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Research Papers

Damage Identification in Frame Structures Based on FE Model Updating

[+] Author and Article Information
Ling Yu1

Department of Civil Engineering, China Three Gorges University, Yichang, Hubei 443002, China; Department of Mechanics and Civil Engineering, Jinan University, Guangzhou 510632, Chinalyu1997@163.com

Tao Yin

School of Civil and Architectural Engineering, Wuhan University, Wuhan 430072, Chinatyin@mail.com

1

Corresponding author.

J. Vib. Acoust 132(5), 051007 (Aug 20, 2010) (13 pages) doi:10.1115/1.4002125 History: Received January 07, 2009; Revised May 29, 2010; Published August 20, 2010; Online August 20, 2010

This paper proposed a practical damage detection method for frame structures based on finite element model-updating techniques. An objective function is defined as minimizing the discrepancies between the experimental and analytical modal parameters (namely, natural frequencies and mode shapes), which is set as a nonlinear least-squares problem with bound constraints. Unlike the commonly used line-search methods, the trust-region approach, a simple yet very powerful concept for minimization, is employed in order to make the optimization process more robust and reliable. Noting the objective function may sometimes be underdetermined for complex structures due to a relatively larger number of potential damaged elements, this paper attempts to propose a simple and convenient solution by expanding the original objective function. Moreover, the relative weighting scheme between different parts in the objective function is also investigated. One numerical two-story portal frame structure and two laboratory-tested frame structures, including a simple three-story steel frame structure and a more complex frame structure with bolted joints, are all adopted to evaluate the efficiency of the proposed technique. Some important issues about the application of the proposed method are also discussed in this paper.

Copyright © 2010 by American Society of Mechanical Engineers
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Figures

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Figure 1

Finite element model of two-story portal frame

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Figure 2

Identified RSS of EDE values against TOE for single-damage case (D14)

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Figure 3

Identified RSS of EDE values against TOE for multidamage case (D2-8-17)

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Figure 4

Identified RSS of EDE values against MULT when TOE=1

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Figure 5

Damage identified results under NL=(1%, 10%)

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Figure 6

Configuration of three-story frame model (all dimensions in mm)

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Figure 7

Details of damaged column

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Figure 8

History of convergence for damage identification

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Figure 9

Frame structure with bolted joints

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Figure 11

Finite element model including measured DOF numbers and directions

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Figure 12

Sensitivity of natural frequencies to EDE

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Figure 13

Identified EDE value when WR=1 for case 1

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Figure 14

Identified results when TOE=3 and MULT=0 for case 1

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Figure 15

Identified results when TOE=3, MULT=0, and WR=1 for case 1

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Figure 16

Identified EDE and MIC values when TOE=6, MULT=0, and WR=1 for case 2

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Figure 17

History of convergence for frame structure with bolted joints

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