Application of Volterra integral equations in the dynamics of a multi-span Rayleigh beam subjected to a moving load

Szyłko-Bigus, Olga; Śniady, P.; Zakęś, Filip

doi:10.1016/j.ymssp.2018.11.056

Cited by 30 publications

(7 citation statements)

References 31 publications

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“…While in practical engineering, bridges are usually subjected to dynamic moving vehicle loads. Therefore, in future studies, the dynamic governing equations (i.e., equations of motion) should be employed to better clarify the structural response of the multi-span prestressed bridges under moving vehicles, i.e., dealing with dynamic response of beamlike elements via various beam theories [29,[33][34][35].…”

Section: Discussionmentioning

confidence: 99%

Sensitivity Analysis of Structural Parameters of Unequal-Span Continuous Rigid Frame Bridge with Corrugated Steel Webs

Duan,

Wang,

et al. 2023

Applied Sciences

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To investigate the effect of structural parameters of bridges with unequal spans on the bridge alignment, the finite element model simulating the full-scale bridge was developed, considering the construction process. For ease of finite element modeling and investigation, the section of composite beam with corrugated steel web was first converted into the section composed of the same material. For this purpose, an equivalent method of replacing corrugated steel webs with concrete webs was proposed based on theoretical derivation. After equivalent replacement, the influences of material bulk density, internal prestress, pipe friction coefficient, and pipe deviation coefficient on the main beam at the maximum cantilever stage were analyzed, and the influences of external prestress on the main beam after bridge construction were analyzed. The results show that the most sensitive parameter to structural response is bulk density, subsequently the external prestress, internal prestress, pipe friction coefficient, and pipe deviation coefficient. Among them, the bulk density, internal prestress, and external prestress are all sensitive parameters, while pipe friction coefficient and pipe deviation coefficient are non-sensitive parameters.

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Section: Discussionmentioning

confidence: 99%

Sensitivity Analysis of Structural Parameters of Unequal-Span Continuous Rigid Frame Bridge with Corrugated Steel Webs

Duan,

Wang,

et al. 2023

Applied Sciences

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“…The dynamic response of a railway bridge due to train passage can be described by a stochastic process considering that the load has random amplitude and can be described by a Poisson process [8]. The dynamic response of the device in the frequency domain is a complex random process in which the real and imaginary parts of the response follow a Gaussian distribution [9].…”

Section: Introductionmentioning

confidence: 99%

Optimisation of Cantilever Based Energy Harvester Design for Railway Bridges

Cámara‐Molina,

Romero,

Galvín

et al. 2023

ce papers

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In this paper, the authors investigate energy harvesting on railway bridges. A tuning process based on a statistical analysis of the mechanical energy generated by a lumped‐mass model is presented and validated. A cantilever‐based energy harvester configuration is applied, and the optimal design of 3D printed energy harvesters is studied. The electromechanical behaviour of the device is represented by an analytical model for the estimation of the energy harvested from train‐induced bridge vibrations. A genetic algorithm constrained to geometry and structural integrity is used to solve the optimisation problem. The design flexibility and energy performance are maximised by 3D printing of the substructure of the harvester. An optimal device prototype with PAHT CF15 substructure is designed and manufactured for a real bridge in the Madrid‐Sevilla High‐Speed line. The prototype is experimentally validated under laboratory conditions. Finally, the performance of energy harvesting is evaluated from in situ experimental data measured by the authors. The results allow quantifying the energy harvested in a time window of five hours and twenty‐seven train passages.

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“…As almost all actual bridges are associated with varying degrees of road surface roughness, we have reason to suspect that the different degrees of dynamic amplification due to road surface roughness could explain why beams bearing vehicle loads running at different speeds are subjected to dynamic action of different intensities. In the past, a lot of effort has been devoted to exploring related matters of engineering, such as the vibration analysis of multi-span beams subjected to moving loads and masses [9][10][11][12] and the dynamic response of bridge-like structures subjected to moving loads at a small scale [13][14][15][16]. For example, Zhu and Law [9] developed a method based on the modal superposition and regularization technique to identify moving loads on an elastically supported multi-span continuous bridge deck.…”

Section: Introductionmentioning

confidence: 99%

Effects of Vehicle Speed on Vehicle-Induced Dynamic Behaviors of a Concrete Bridge with Smooth and Rough Road Surfaces

Dai,

Cui,

Zhu

et al. 2023

Applied Sciences

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According to a previous study, a concrete bridge bearing vehicles traveling at lower speeds suffers from more severe apparent damage compared to one bearing vehicles traveling at higher speeds. The authors of the study subjectively inferred that the observed phenomenon is due to different vehicle load-holding durations for different vehicle speeds. However, this interpretation is not true for bridges with a smooth road surface. Based on an engineering case study of Renyihe Bridge (a concrete rigid-frame continuous highway bridge with spans of 80 m + 4 × 145 m + 80 m), this article reveals via numerical simulations that with the increase in road surface roughness, the resonant responses of the bridge are significantly amplified for cases of low vehicle speed, which can well explain the phenomenon observed by the aforementioned study. Field experiments undertaken on Renyihe Bridge further reveal the related mechanism. These experiments reveal that the frequency of the vehicle excitation for a bridge with sufficient road surface roughness might be closer to the low-order natural frequencies of a bridge with a decrease in vehicle speed. Therefore, the resonant responses are supposed to be more significantly amplified in cases of low vehicle speed after an increase in road surface roughness.

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Application of Volterra integral equations in the dynamics of a multi-span Rayleigh beam subjected to a moving load

Cited by 30 publications

References 31 publications

Sensitivity Analysis of Structural Parameters of Unequal-Span Continuous Rigid Frame Bridge with Corrugated Steel Webs

Sensitivity Analysis of Structural Parameters of Unequal-Span Continuous Rigid Frame Bridge with Corrugated Steel Webs

Optimisation of Cantilever Based Energy Harvester Design for Railway Bridges

Effects of Vehicle Speed on Vehicle-Induced Dynamic Behaviors of a Concrete Bridge with Smooth and Rough Road Surfaces

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