Direct identification of non-uniform beams using static strains

Li, Peiling; Lin, Hwei-Tser

doi:10.1016/0020-7683(95)00180-8

Cited by 12 publications

(6 citation statements)

References 17 publications

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“…For this, the SDRML of the nodes 23, 25, 26, and 28 are added to the previous data. Taking into account the SDRML data concerning only vertical displacement about the nodes (2,3,4,7,8,9,23,25, 26, and 28), the results have improved and remarkable convergence is seen (Figure 10c). Considering the SDRML data of the last nodes in the three directions X, Y, and Z, the IAFEM treatment allows to correctly determine the correction coefficients (α i = 8 = −0.6005, α i = 19 = −0.6005, α i = 38 = −0.3001; Figure 10d).…”

Section: Results Of Inverse Analysis By Iafem Codementioning

confidence: 94%

“…Other researchers have derived the equilibrium equation of a beam that is discretized by finite elements. [7] From the deformation measurements data in several sections of a beam, the minimization of the error functions of the equilibrium equation permit to identify the damaged areas. The theorem of the elastic damage load is a method to evaluate damages in a beam that is based on the monitoring of the elastic load (ratio of bending moment to the flexural rigidity) from the analysis of the beam's deformation variation for different positions of concentrated load.…”

Section: Discussionmentioning

confidence: 99%

“…From these results, it was possible to detect the position of the damage and the stiffness parameter, which is indicative of the damage rate in a numerical model. Other researchers have derived the equilibrium equation of a beam that is discretized by finite elements . From the deformation measurements data in several sections of a beam, the minimization of the error functions of the equilibrium equation permit to identify the damaged areas.…”

Section: Introductionmentioning

confidence: 99%

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Damage detection in beam and truss structures by the inverse analysis of the static response due to moving loads

Boumechra

2016

Struct. Control Health Monit.

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Summary The detection and the localization of damages in a bridge have been always one of the major concerns of infrastructure managers, engineers, and researchers. In addition to the dynamic techniques that were well imposed in the diagnosis of bridges, several static methods have been developed. The idea of this work is to exploit the measurement results about a bridge deflection submitted to a moving load. By using the displacements response, important data about the displacement of a structural point could be gathered. When the structure's geometry and the material characteristics are known, a finite element model, supposed to be the most similar, could be developed. The numerical structural model and the static displacements data are used to develop an equilibrium equations system where unknowns are the possible stiffness changes in the finite element model. Thus, the global stiffness matrix of the studied structure is a polynomial matrix. The equilibrium equations system is a static inverse problem requiring resolution. To facilitate the mathematical development, the inverse of the global stiffness matrix is expressed by a Neumann series. Then, the resolution of the system is done by a code developed in Matlab. To confirm the good convergence of the developed mathematical method, numerical tests are carried out by considering beams and a 3D truss bridge subjected to a moving load. Thereafter, an analysis concerning the influence of the noise in the displacements data on the accuracy of the inverse analysis and the convergence of the results is made. It has been shown that the large number of data reduces the noises effect and the damages detection can be ensured.

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Section: Results Of Inverse Analysis By Iafem Codementioning

confidence: 94%

Section: Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Damage detection in beam and truss structures by the inverse analysis of the static response due to moving loads

Boumechra

2016

Struct. Control Health Monit.

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“…Vibrational-based methods are probably the most common class of non-destructive techniques, particularly for applications on large full-scale structures, such as bridges, buildings and dams Morassi and Vestroni (2008) ; Lee et al (2003) . However, there are structural systems important in real-life applications in which static tests can be easily arranged and can provide valuable information for diagnostic purposes Caddemi et al (2018) ; Liu and Lin (1996) .…”

Section: Introductionmentioning

confidence: 99%

Numerical size estimates of inclusions in Kirchhoff–Love elastic plates

Bilotta

Morassi

Rosset

et al. 2019

International Journal of Solids and Structures

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a b s t r a c tThe size estimates approach for Kirchhoff-Love elastic plates allows to determine upper and lower bounds of the area of an unknown elastic inclusion by measuring the work developed by applying a couple field on the boundary of the plate. Although the analytical process by which such bounds are determined is of constructive type, it leads to rather pessimistic evaluations. In this paper we show by numerical simulations how to obtain such bounds for practical applications of the method. The computations are developed for a square plate under various boundary loads and for inclusions of different position, shape and stiffness. The sensitivity of the results with respect to the relevant parameters is also analyzed.

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“…Reconstruction of the full-field structural deformations, strains and stresses is a key component of SHM by utilizing the strain data obtained from a network of on-board strain sensors located at various sites of a structure . A regularization term which ensures a certain degree of smoothness to solve this inverse problem was introduced by Tikhonov & Arsenin (1977) and most of the today's inverse algorithms uses Tikhonov's regularization (refer to Liu & Lin 1996, Maniatty & Zabaras 1994, Maniatty et al 1989, Schnur & Zabaras 1990 and references therein). However, most of these inverse methods are not generally appropriate for use in on-board SHM procedures because many of these didn't take into consideration the complexity of boundary conditions and structural topology.…”

Section: Introductionmentioning

confidence: 99%

Structural Health Monitoring of marine structures by using inverse Finite Element Method

Kefal¹,

Öterkuş²

2015

Analysis and Design of Marine Structures V

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A new state-of-the art methodology named as inverse Finite Element Method (iFEM) is adopted to solve the inverse problem of real-time reconstruction of full-field structural displacements, strains, and stresses. iFEM has shown to be precise, robust, and fast enough to reconstruct the three dimensional displacement field of structures in real-time by utilizing surface strain measurements obtained from strain sensors embedded on the structure. The numerical implementation of the iFEM methodology is done by considering four-node inverse quadrilateral shell element. Two demonstration cases are presented including a quadrilateral plate subjected to bending force and a stiffened plate under bending loading. Finally, the effect of sensor locations, number of sensors and the discretization of the geometry are examined on solution accuracy.

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Direct identification of non-uniform beams using static strains

Cited by 12 publications

References 17 publications

Damage detection in beam and truss structures by the inverse analysis of the static response due to moving loads

Damage detection in beam and truss structures by the inverse analysis of the static response due to moving loads

Numerical size estimates of inclusions in Kirchhoff–Love elastic plates

Structural Health Monitoring of marine structures by using inverse Finite Element Method

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