Damage identification in continuous beams and frame structures using the Residual Error Method in the Movement Equation

Brasiliano, Andrea; Doz, Graciela; Brito, José Luis Vital de

doi:10.1016/j.nucengdes.2003.07.006

Cited by 31 publications

(28 citation statements)

References 13 publications

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“…The first three mode shapes of the two-storey frame without crack Figure 9 b-c show the first three mode shapes of the two-storey frame without crack. The obtained shapes are quite similar to those of previous author's [21], which is asymmetric on the first and second mode shapes and is symmetric on the third mode shape. .4 m, 0.8 m, 1.2 m, 1.6 m, 2.0 m, 2.4 m (Figure 13 a-c).…”

Section: D Framesupporting

confidence: 86%

Determination of the Shape Function of a Multiple Cracked Beam Element and Its Application for the Free Vibration Analysis of a Multiple Cracked Frame Structure

Lien¹,

Hao²

2014

AJCEA

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Assessment of the behavior of damaged structures as well as determination of the locations and the depths of cracks in multiple cracked structures are very important and attractive for many researchers. This article presents some results on the determination of the vibration shape function of a multiple cracked elastic beam element, which is modeled as an assembly of intact sub-segments connected by massless rotational springs. Algorithms and computer programs to analyse changes of natural mode shapes of multiple cracked beams have been determined. Numerical analysis of natural mode shapes of cracked simple support beams using the obtained expression shows a good agreement in comparison with the well-known analytical methods. The methodology approach and results presented in this article are new and the basis for building an efficient method to identify cracks in frame structures using wavelet analysis of mode shapes.

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Section: D Framesupporting

confidence: 86%

Determination of the Shape Function of a Multiple Cracked Beam Element and Its Application for the Free Vibration Analysis of a Multiple Cracked Frame Structure

Lien¹,

Hao²

2014

AJCEA

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“…The shape of frame, nondimensional properties and resulting natural frequencies are seen in Table 4. Results are validated by the natural frequencies obtained by Brasiliano et al (2004) and the FE analyses. Material properties are given as the modulus of elasticity E ¼ 35 GPa and the density ¼ 2500 kg/m 3 .…”

Section: Case Studies For Intact Framesmentioning

confidence: 95%

“…Labib et al (2014) extended the same method to a double-bay double-storey frame structure with multiple cracks. Apart from these studies, there are some other papers presenting the application of FE-based methods for the vibration of cracked frames (Nikolakopoulos et al, 1997;Brasiliano et al, 2004;Ge et al, 2010;Caddemi and Morassi, 2013;Ibrahim et al, 2013).…”

Section: Introductionmentioning

confidence: 99%

A new simplified method for anti-symmetric mode in-plane vibrations of frame structures with column cracks

Mazanoglu

Kandemir

2016

Journal of Vibration and Control

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This paper is on the natural frequency and mode shape computation of frame structures with column cracks. First, a model of intact frame structures is built to perform vibration analysis. Beam elements are considered as lumped masses and rotational springs at the storey levels of frames. Equivalent model of columns and lumped mass-stiffness effects of beams have been combined to carry out continuous solution for the anti-symmetric mode in-plane vibrations of frames. In addition, frame systems with multiple column cracks are analyzed in terms of anti-symmetric mode vibration characteristics. Cracks are considered as massless rotational springs in compliance with the local flexibility model. Compatibility and continuity conditions are satisfied at crack and storey locations of the equivalent column, modeled using the Euler-Bernoulli beam theory. The proposed method is tested for single-storey single-and multi-bay, H-type and double-storey single-bay frame systems with intact and cracked columns. Results are validated by those given in the current literature and/or obtained by the finite element analyses.

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“…All above indices have simple expressions and have been applied in identifying the location of damage. However, it has been shown that they have low sensitivity to damage in some cases (Ndambi et al 2002;Brasiliano et al 2004). Considering both changes of modal frequencies and mode shapes to detect the occurrence and location of structural damage is more reliable than just relying on either one of them.…”

Section: Introductionmentioning

confidence: 99%

Damage Assessment of Seismically Excited Buildings Through Incomplete Measurements

Lin

Hsieh

2014

Journal of Pressure Vessel Technology

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Measuring responses at all degrees of freedom (DOF) of a real structure is impossible and impractical when few sensors are available. This study presents a damage-assessment technique for seismically excited buildings using only a few floor-response measurements. In the first step, the system realization using information matrix (SRIM) identification technique was applied to estimate such modal properties as frequencies and damping ratios of an instrumented building. However, the complete mode shapes cannot be acquired due to a lack of comprehensive measurements. A novel optimal mode-shape-recovery (OMSR) technique was applied to reconstruct the complete first mode shape of the building system. An optimization process was then applied to minimize a prescribed objective function that represents the difference between measured and estimated outputs at instrumented locations. A story damage index (SDI) computed using the first mode shape recovered was applied to determine the degree of story damage. Noisy floor measurements of a five-story shear building under earthquake excitation were utilized for numerical verification. Moreover, a three-story benchmark building was analyzed to assess the accuracy and applicability of the proposed OMSR technique via experimental data. The proposed method obtained results in fairly good agreement with those of full measurements and is of value in practical application. The damage-assessment results obtained with the proposed method agree well with the actual damage, demonstrating that the proposed method is suitable for practical applications.

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Damage identification in continuous beams and frame structures using the Residual Error Method in the Movement Equation

Cited by 31 publications

References 13 publications

Determination of the Shape Function of a Multiple Cracked Beam Element and Its Application for the Free Vibration Analysis of a Multiple Cracked Frame Structure

Determination of the Shape Function of a Multiple Cracked Beam Element and Its Application for the Free Vibration Analysis of a Multiple Cracked Frame Structure

A new simplified method for anti-symmetric mode in-plane vibrations of frame structures with column cracks

Damage Assessment of Seismically Excited Buildings Through Incomplete Measurements

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