Structural models for the evaluation of eigen-properties in damaged spatial arches: a critical appraisal

Caliò, Ivo; Greco, Annalisa; D׳Urso, D.

doi:10.1007/s00419-016-1151-7

Cited by 20 publications

(12 citation statements)

References 49 publications

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“…In the present paper the damage is simply modelled introducing an element with a cross section of the same shape of the undamaged one but a smaller size. This element has a weaker stiffness and a smaller mass with respect to the correspondent intact element and is therefore able to model a reduction of the mass in the damaged portions with respect to the healthy condition [33].…”

Section: The Model Of the Damaged Archmentioning

confidence: 99%

“…Such models, although appropriate for concentrated damage, are not adequate in case the damaged zone has a certain extent and involves a loss of mass. Recently, two of the authors of this manuscript, considering the same strategy here adopted to model the damage, investigated the direct problem of the dynamics of damaged arches, bringing to light some interesting properties related to the mass variation in the damaged zone [33].…”

Section: Introductionmentioning

confidence: 99%

“…In the present paper, spatial arch structures, in which the damage is modelled as a reduction of the cross section in a concentrated zone [33,44], are studied. Differently than the widely adopted damage model with equivalent concentrated hinges and rotational springs, the proposed procedure is able to identify also finite portions of damaged arch and also to consider the possible reduction of the mass of the structural element.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Damage identification on spatial Timoshenko arches by means of genetic algorithms

Greco

D׳Urso

Cannizzaro

et al. 2018

Mechanical Systems and Signal Processing

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Section: The Model Of the Damaged Archmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Damage identification on spatial Timoshenko arches by means of genetic algorithms

Greco

D׳Urso

Cannizzaro

et al. 2018

Mechanical Systems and Signal Processing

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“…e damage can be either localized or diffused on a certain portion of the length of the structural element, and its intensity can be related to the reduction of the reactive area of the cross section, for example, due to the presence of a notch. Some contributions on crack modeling approaches and their effects on the response of beams can be found in [45,46]. Several papers consider the joints between beams and columns as possible damage locations [33,[47][48][49].…”

Section: Introductionmentioning

confidence: 99%

On Damage Identification in Planar Frames of Arbitrary Size

Fiore

Greco

Pluchino

2022

Shock and Vibration

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Framed structures are deeply studied in civil engineering since they provide a numerical model for the analysis of the static and dynamic response of multi-storey buildings. In order to evaluate the vibrational properties of these structures, an eigen-problem, which involves the stiffness and mass matrices of the frame, must be solved. Both matrices can be assembled by means of standard methods, which take into account the numbers of degrees of freedom of the frame. The occurrence of concentrated damage in some vulnerable sections modifies the degrees of freedom and therefore both the stiffness and mass matrices. Very often, the critical sections are located in the joints between the structural elements of the frame where the bending moment reaches its maximum value. Assuming that the joints are rigid in the undamaged configuration of the frame, it is possible to take into account their loss of stiffness due to the presence of eventual damage by means of hinges with rotational springs of variable rigidity. In this paper, an original algorithm that allows us to evaluate the stiffness and mass matrices and therefore the natural frequencies of vibration of undamaged and damaged planar frames with an arbitrary number of beams and columns is presented. The proposed algorithm for the stiffness and mass matrices determination requires a few input data which can be provided in a text file and therefore allows us to speed up the procedure with respect to the application of an FEM approach which requires the construction of single models for each considered frame. The results obtained by means of the proposed algorithm have been validated through a comparison with those provided by an FEM model implemented in SAP2000. The natural frequencies obtained by means of the proposed approach are used for the solution of two different inverse problems, which concern the identification of, respectively, the mechanical characteristics of the constitutive material and the location and intensity of the damage. Both the proposed identification procedures deal with optimization algorithms that are based on opportune fitness functions. Applications to frames of different size confirm the validity of the presented identification algorithms. Furthermore, an iterative procedure, able to reduce the required computational burden related to the identification of the location and intensity of damage, is presented and applied in a parametric study concerning frames with increasing size.

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“…The damage can be either localized or diffused on a certain portion of the length of the structural element and its intensity can be related to the reduction of the reactive area of the cross section, for example due to the presence of a notch. Contributions on crack modelling approaches and their effects on the response of beams can be found in [34,35].…”

Section: Introductionmentioning

confidence: 99%

An Optimization Algorithm for the Detection of Damage in Frame Structures

Greco¹,

Fiore²,

Pluchino³

2021

14th International Conference on Evolutionary and Deterministic Methods for Design, Optimization and Control

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The aim of the study is the formulation of a computational method for the identification of the first damage in planar frames. The damage is considered to be concentrated in some opportune sections of beams and columns and many assume different intensities. In order to identify the location and intensity of the damage when measured frequencies on the damaged frame are available, an original algorithm has been implemented assigning to each critical section an appropriate fitness function. This function indicates the difference between the measured frequencies of vibration and those obtained, by means of opportune numerical models, assuming that the damage is located in the considered critical section. The exact location will then be individuated seeking the optimal fitness function. An iterative procedure which allows reducing the computational effort is also presented with reference to a case study.

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Structural models for the evaluation of eigen-properties in damaged spatial arches: a critical appraisal

Cited by 20 publications

References 49 publications

Damage identification on spatial Timoshenko arches by means of genetic algorithms

Damage identification on spatial Timoshenko arches by means of genetic algorithms

On Damage Identification in Planar Frames of Arbitrary Size

An Optimization Algorithm for the Detection of Damage in Frame Structures

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