Theoretical response of a simply supported beam with a strain rate dependant modulus to a moving load

Aied, Hussein; González, Arturo

doi:10.1016/j.engstruct.2014.07.035

Cited by 8 publications

(3 citation statements)

References 28 publications

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“…Attar et al [14] explored the influences of some parameters on the vibration response of damaged Timoshenko beam with an elastic support. Aied and Gonzalez [15] investigated the vibration characteristics of a simply supported viscoelastic beam under the transit mass by defining a dynamic modulus pertaining to the rate of strain. Demirtas and Ozturk [16] extracted the mode shapes of multi-storey frames subjected to train loads and the results are illustrated with various graphs.…”

Section: Introductionmentioning

confidence: 99%

Experimental and computational study on dynamic analysis of cracked simply supported structures under moving mass

Jena¹,

Bulut

Kurt

2022

Frattura Ed Integrità Strutturale

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In this study, the influences of crack parameters like crack location from the left end, crack height, number of cracks and the magnitude of mass and the velocity of the transit load on the vertical displacements of the cracked simply supported beams subjected to transit mass are investigated. The transverse open cracks with numerous damage scenerios are considered for the mathematical modelling of the system. The governing equations of motion for the system have been obtained and the equations have been solved by the help of Duhamel integral technique. The theoretical formulation has been exemplified with numerical studies. By utilizing ANSYS Workbench 2020, transient structural analysis has been carried out. The mode shapes and the frequency ratios of damaged simply supported beam have also been determined. To validate the numerical and FEM models, the experiments with damaged beams have been carried out in the laboratory. It has been proven that the results of the theoretical and FEM models are well convergent with the experimental data. The results gathered from the numerical analysis, FEA as well as experimental study have been presented with comparative graphs and tables. The outcomes of the examinations have been interpreted in the conclusions part. It has been observed that subject parameters are of considerable significance on the time dependent response of the cracked beams.

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Section: Introductionmentioning

confidence: 99%

Experimental and computational study on dynamic analysis of cracked simply supported structures under moving mass

Jena¹,

Bulut

Kurt

2022

Frattura Ed Integrità Strutturale

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“…Brady et al define DAF as the maximum total load effect (static plus dynamic) divided by the maximum static load effect at a specific bridge location due to a given vehicle travelling on a fixed path at a uniform velocity. When DAF is calculated for a range of vehicle velocities, there appears to be a pattern defined by a series of DAF peaks and troughs that tend to increase with higher velocities . Brady et al and González et al provide a deep insight into why peaks of DAF develop at some critical velocities.…”

Section: Introductionmentioning

confidence: 99%

Damage detection in bridges based on patterns of dynamic amplification

González

Mohammed

2019

Struct Control Health Monit

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frequencies with temperature, noting a daily change of 4.7%, 6.6%, and 5.0%, for the first three modal frequencies of a bridge deck in New Mexico that varied temperature by about 22°C, and changes of 14-18% for the first four modal frequencies of the Z24 bridge in Switzerland during 10 months. For a reinforced concrete beam and slab, Liu et al 4 suggest that modal frequencies will decrease 0.12-0.33% per degree Celsius with respect to the modal frequencies at 0°C, being the variation of concrete elasticity modulus with temperature the main cause of these changes. There are two approaches towards separating effects due to operational conditions from effects due to damage: (a) input-output methods, where operational variables such as temperature, humidity, and/or traffic loading are measured together with modal properties to establish their relationship, that is, via the polynomial chaos expansion method proposed by Spiridonakos et al 5 and (b) output-only methods, where operational variables are treated as embedded variables that do not need to be measured, as their influence will be discarded via methods such as neural networks, factor analysis, 6 principal component analysis, 7,8 or kernel principal component analysis. 9 Rytter 10 classifies vibration-based damage identification approaches into four levels of increasing degree of complexity that establish: Whether damage occurred or not (Level 1), the position of damage (Level 2), its quantification (Level 3), and the remaining lifespan of the structure (Level 4). Fan and Qiao 11 carry out a thorough review of the available vibration-based damage detection methods. Although there is a group of model-based SHM methods that can reach Level 4 depending on the amount of available data and the complexity of the finite element (FE) model to be updated, they are time-consuming compared with data-driven SHM methods, which are typically Levels 1 or 2 and able to provide results in real time. There is a third group of methods that combines model-based and data-driven SHM, that is, the damage-locating vector and statistical fault isolation methods, as discussed by Limongelli et al, 12 who compare data-driven with model-based SHM using the measurements of the post-tensioned concrete two-cell box Z24 bridge girder.Cebon 13 argues that heavy vehicles induce vibrations in the bridge that can cause damage to the structure and consequently; they affect its lifespan and safety. A pavement-based weigh-in-motion (WIM) system placed prior to the bridge (i.e., bending plate or piezoelectric sensors embedded in the pavement) can be employed to identify and prevent overloading. Load monitoring is the basis for the Level 1 damage detection technique proposed by Cantero and González 14 that measures truck loads via two means: (a) a pavement-based WIM system and (b) a bridge weigh-inmotion (B-WIM) system (i.e., from strains measured on the bridge soffit based on the concept of influence lines). The principle of their technique is that the estimation of truck loads by both WIM and B-WIM sy...

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“…Using Galerkin’s method, Yang et al 17 have examined the response of a Timoshenko beam on a nonlinear Pasternak base carrying moving mass. Aied and Gonzalez 18 have explored the disparity of induced strain rate of a viscoelastic structure subjected to a moving load. A precise solution technique has been presented by Gao et al 19 to a structure on a Winkler foundation carrying moving mass at elevated speeds.…”

Section: Introductionmentioning

confidence: 99%

Dynamic and experimental analysis on response of multi-cracked structures carrying transit mass

Parhi

Jena

2016

Proceedings of the Institution of Mechanical Engineers, Part O:

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This research article presents a computational work followed by experiments to elaborate the response of a multicracked beam structures excited by traversed mass. The cracks are located at different positions having different relative crack depths. A fourth-order Runge-Kutta computational method is used here for finding the deflection of the cracked beam. The responses of damaged cantilever beam and fixed-fixed beam are considered in this work. During the traversing of the mass across the damaged structure, the response of the cracked structures has been analysed. The effects of mass, speed, crack severities and crack locations on the response of the structure have also been inspected. Computational work has been carried out with different masses at various speeds for the moving mass. The results obtained from the computational work have been validated with that of experiments and are found to be in good agreement.

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Theoretical response of a simply supported beam with a strain rate dependant modulus to a moving load

Abstract: Publication informationEngineering Structures, 77 : 95-108Publisher Elsevier Item record/more information

Cited by 8 publications

References 28 publications

Experimental and computational study on dynamic analysis of cracked simply supported structures under moving mass

Experimental and computational study on dynamic analysis of cracked simply supported structures under moving mass

Damage detection in bridges based on patterns of dynamic amplification

Dynamic and experimental analysis on response of multi-cracked structures carrying transit mass

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