Estimation of tensile force in tie-rods using a frequency-based identification method

Amabili, Marco; Carrà, S.; Collini, Luca; Garziera, Rinaldo; Panno, A.

doi:10.1016/j.jsv.2009.12.009

Cited by 50 publications

(38 citation statements)

References 11 publications

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“…2. Then, the strain energy E¡; of the whole cylinder can be expressed in the form: (16) where e is the elastic constants matrix and the vector E v is computed using linear strain theory. The potential Ep is calculated by the customary procedures [21].…”

Section: Axially Prestressed Cylinders: Geometrically Nonlinear Strainmentioning

confidence: 99%

“…They solved the eigenvalue problem for a simply supported prismatic beam constrained by two end elastic springs. Amabili et al [16] have developed a technique for in situ identification of the tensile force in tie-rods in ancient monumental masonry buildings. In these approaches, either the Euler [14,15] or Timoshenko [16] beam is used.…”

Section: Introductionmentioning

confidence: 99%

“…Amabili et al [16] have developed a technique for in situ identification of the tensile force in tie-rods in ancient monumental masonry buildings. In these approaches, either the Euler [14,15] or Timoshenko [16] beam is used. The experiments reported refer to slender rods, the ratio between the length and the relevant transverse dimension being larger than approximately 100.…”

Section: Introductionmentioning

confidence: 99%

“…ather authors [14][15][16] have developed this idea, but their proposals are valid for slender bars, whereas a three-dimensional theory is used in the present study.…”

Section: Introductionmentioning

confidence: 99%

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On the flexural vibration of cylinders under axial loads: Numerical and experimental study

Bayón

Gascón

Ferro

et al. 2012

Journal of Sound and Vibration

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AB5TRACTThe flexural vibration of a homogeneous isotropic linearly elastic cylinder of any aspect ratio is analysed in this paper. Natural frequencies of a cylinder under uniformly distributed axialloads acting on its bases are calculated numerically by the Ritz method with terms ofpower series in the coordinate directions as approximating functions. The effect ofaxial loads on the flexural vibration cannot be described by applying infinitesimal strain theory, therefore, geometrically nonlinear strain-displacement relations with second-order terms are considered here. The natural frequencies of free-free, clamped-clamped, and sliding-sliding cylinders subjected to axial loads are calculated using the proposed three-dimensional Ritz approach and are compared with those obtained with the finite element method and the Bernoulli-Euler theory. Different experiments with cylinders axially compressed by a hydraulic press are carried out and the experimental results for the lowest flexural frequency are compared with the numerical results. An approach based on the Ritz formulation is proposed for the flexural vibration of a cylinder between the platens of the press with constraints varying with the intensity of the compression. The results show that for low compressions the cylinder behaves similarly to a sliding-sliding cylinder, whereas for high compressions the cylinder vibrates as a clamped-clamped one.

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Section: Axially Prestressed Cylinders: Geometrically Nonlinear Strainmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

“…ather authors [14][15][16] have developed this idea, but their proposals are valid for slender bars, whereas a three-dimensional theory is used in the present study.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

On the flexural vibration of cylinders under axial loads: Numerical and experimental study

Bayón

Gascón

Ferro

et al. 2012

Journal of Sound and Vibration

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“…This approach combines in situ dynamic tests and computations that make use of a beam model with complex boundary conditions. The method was tested and improved throughout some years since it was applied for multiple case studies of monitoring such famous Italian historic buildings as Duomo di Parma (Cathedral of Parma), Basilica della Madonna dell'Umiltà in Pistoia (Church of Our Lady of Humility), Rocca Sanvitale di Fontanellato (Sanvitale Fortress of Fontanellato), and Casa Romei (Romeì House) in Ferrara, as reported by the authors Collini et al in [1][2][3][4][5][6][7].…”

Section: Introductionmentioning

confidence: 99%

Vibration Analysis for Monitoring of Ancient Tie-Rods

Collini¹,

Garziera²,

Riabova³

2017

Shock and Vibration

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This paper presents an application of vibration analysis to the monitoring of tie-rods. An algorithm for the axial load estimation based on experimentally measured natural frequencies is introduced and its application to a case study is reported. The proposed model of a tie-rod incorporates elastic bed-type boundary conditions that represent the contact between stonework and the tierod. The weighed differences between experimentally and numerically determined frequencies are minimized with respect to the parameters of the model, the main being the axial load and the stiffness at the tie-rod/wall interface. Thus, the multidimensional optimization problem is solved. Results are analysed in comparison to a model with simple fixed-end boundary conditions. In addition, the analytical formulation of the problem is delivered.

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