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Research Papers

Interval Analysis Method for Structural Damage Identification Based on Multiple Load Cases

[+] Author and Article Information
Xiaojun Wang1

 Institute of Solid Mechanics,Beihang University, Beijing 100191, ChinaXJWang@buaa.edu.cn

Haifeng Yang, Lei Wang, Zhiping Qiu

 Institute of Solid Mechanics,Beihang University, Beijing 100191, China

1

Corresponding author.

J. Appl. Mech 79(5), 051010 (Jun 29, 2012) (8 pages) doi:10.1115/1.4006447 History: Received February 19, 2010; Revised February 14, 2012; Posted March 26, 2012; Published June 28, 2012; Online June 29, 2012

Based on the measured static displacements, an improved interval analysis technique was proposed for the structural damage identification. Due to the scarcity of uncertain information, the uncertainties were considered as interval numbers in this paper. Via the first-order Taylor series expansion, the interval bounds of the elemental stiffness parameters of undamaged and damaged structures are respectively obtained. The structural damage was detected by the quantitative measure of the possibility of damage existence in elements, which was more reasonable than the probability of damage existence in the condition of less sample points for the measurement data. Furthermore, the classic interval analysis method was improved by adopting the membership-set identification and two-step model updating procedure to make identification results more accurate. An uncertain truss structure was employed for damage identification, the damage identification results obtained by interval analysis method and probabilistic method, respectively, were compared. Moreover, the effects on the detection results of the damage level and uncertainty level subjected to single or multiple load cases were studied as well. The numerical example shows that the wide intervals resulting from the interval operation can be narrowed by the improved nonprobabilistic approach, and the feasibility and effectiveness of the present method were validated.

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Copyright © 2012 by American Society of Mechanical Engineers
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Figures

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Figure 1

Schematic diagram of interval algorithm for membership-set identification

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Figure 2

Scheme for the comparison of αui and αdi

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Figure 3

Probability density functions of αdi , αui , and PrDE

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Figure 4

Schematic diagram of 10-bar truss structure

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Figure 5

The interval radii of elemental stiffness parameters in undamaged state

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Figure 6

The interval radii of elemental stiffness parameters in undamaged state

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Figure 7

PoDEs of elements at different damage level

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Figure 8

PoDEs of elements at different uncertainty level

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