Mathematical modeling of vibration processes in reinforced concrete structures for setting up crack initiation monitoring

Bykov, Anton; Matveenko, B. P.; Serovaev, Grigorii; Шардаков, И. Н.; Shestakov, A.

doi:10.3103/s0025654415020053

Cited by 15 publications

(7 citation statements)

References 9 publications

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“…The external load is applied to the two mutually orthogonal sides of the model through absolutely rigid plate elements, which are connected to the model by means of flexible rods to avoid an uneven load distribution between the model elements. The hypothesis of flat sections and the appearance of transverse shear strains were fulfilled [17][18][19]. Rigid elements are given flexural rigidity 10 times greater than the rigidity of steel rods: Е=2·106 MPa; ν=3.…”

Section: Methodsmentioning

confidence: 99%

Modeling of Heavy Armocement Deformation for the Conical Shape of the Heat Accumulator Body by the Methods of Computer Engineering

et al. 2018

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The computer simulation of the structural material is required to study the stress-strain state of the structural material of the high-pressure hull (in particular, the heat accumulator body). Laboratory experiment requires significant financial expenses, which is a significant drawback of this type of study. Therefore, the authors considered finite element modeling of structural material by adapting modern software systems for calculating the considered models. A modern design solution for high-pressure hulls of heat accumulators made of non-prestressed reinforced concrete involves the usage of heavy reinforcement cement as a structural material. The proposed method allows gaining rather certain calculations avoiding time-consuming laboratory research.

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Section: Methodsmentioning

confidence: 99%

Modeling of Heavy Armocement Deformation for the Conical Shape of the Heat Accumulator Body by the Methods of Computer Engineering

et al. 2018

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“…At a certain stage of the loading, cracking starts in the beam. Works [21,22] focus on the mathematical modeling of this process and comparing the simulation results and experimental data. The proposed approach is based on the analysis of vibrations of a reinforced concrete beam that occur in response to impact loads applied to a certain part of the beam.…”

Section: Mathematical Model Of Deformation Processes In Reinforced Stmentioning

confidence: 99%

“…The spectral analysis of measured vibration parameter (displacement, velocity, acceleration) ensures the possibility of assessing crack nucleation in the originally projected point or its lack. Analysis of the spectral properties of the reinforced concrete beam having the crack of 10 mm depth and 1 mm width in its central section, showed that there are four natural frequencies in the range of 0 -5 kHz exhibiting the greatest response to the occurrence of such a crack [21]. They are eigenfrequencies No 14 (2072 kHz) and 23 (3897 kHz), corresponding to the bending modes, and eigenfrequencies No 16 (2298 kHz) and 23 (3845 kHz), corresponding to the torsion modes.…”

Section: Variation Of Natural Frequencies Due To Crack Initiationmentioning

confidence: 99%

Process of cracking in reinforced concrete beams (simulation and experiment)

Шардаков¹,

Shestakov²,

Glot³

et al. 2016

Frattura Ed Integrità Strutturale

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The paper presents the results of experimental and theoretical investigations of the mechanisms of crack formation in reinforced concrete beams subjected to quasi-static bending. The boundary-value problem has been formulated in the framework of brittle fracture mechanics and solved using the finite-element method. Numerical simulation of the vibrations of an uncracked beam and a beam with cracks of different size serves to determine the pattern of changes in the spectrum of eigenfrequencies observed during crack evolution. A series of sequential quasi-static 4-point bend tests leading to the formation of cracks in a reinforced concrete beam were performed. At each loading step, the beam was subjected to an impulse load to induce vibrations. Two stages of cracking were detected. During the first stage the nonconservative process of deformation begins to develope, but has not visible signs. The second stage is an active cracking, which is marked by a sharp change in eingenfrequencies. The boundary of a transition from one stage to another is well registered. The vibration behavior was examined for the ordinary concrete beams and the beams strengthened with a carbon-fiber polymer. The obtained results show that the vibrodiagnostic approach is an effective tool for monitoring crack formation and assessing the quality of measures aimed at strengthening concrete structures.

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“…Its total height is 6m, length is 9m, and width is 6m. Automated deformation monitoring systems are based on the non-destructive control methods, in particular, the methods of vibration diagnostics [1,2,3,4], among which one can differentiate between the methods analyzing natural vibrations [5,6] and those examining the transient vibration processes [7,8]. The vibration methods have found wide application because of the use of piesoceramic materials, which can operate both as actuators and sensors.…”

Section: Introductionmentioning

confidence: 99%

Investigation of the effect of cracks on the vibration processes in reinforced concrete structures

Шардаков

Shestakov

Tsvetkov

et al. 2018

Frattura Ed Integrità Strutturale

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The validity of the mathematical model describing the propagation of vibrations in the reinforced concrete structures (RC structures) was verified by comparing the experimental and numerical data. The proposed model allowed us to perform numerical experiments aimed at comparing vibrorecords obtained for the structure without defects and the structure with typical fracture caused by crack formation. Based on the results of comparison, an informative diagnostic parameter was proposed. This parameter makes it possible to control the nucleation and growth of cracks in a RC structure.

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Mathematical modeling of vibration processes in reinforced concrete structures for setting up crack initiation monitoring

Cited by 15 publications

References 9 publications

Modeling of Heavy Armocement Deformation for the Conical Shape of the Heat Accumulator Body by the Methods of Computer Engineering

Modeling of Heavy Armocement Deformation for the Conical Shape of the Heat Accumulator Body by the Methods of Computer Engineering

Process of cracking in reinforced concrete beams (simulation and experiment)

Investigation of the effect of cracks on the vibration processes in reinforced concrete structures

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