Spectral density of the bridge beam response with uncertain parameters under a random train of moving forces

Gładysz, M.; Śniady, P.

doi:10.1016/s1644-9665(12)60216-7

Cited by 19 publications

(7 citation statements)

References 27 publications

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“…Mehri et al [9] using the Green function derived the dynamic behavior of the Euler-Bernoulli beam excited by moving load. Also, spectral analysis of the beam under the influence of load is recommended by Gladyzs and Sniady [10]. The desired beam is contemplated orthotropic at any point, whereas the properties of different materials in the thickness of the beam are exponential.…”

Section: Introductionmentioning

confidence: 99%

Sensitivity Analysis of Vibration Response of Railway Structures to Velocity of Moving Load and Various Depth of Elastic Foundation

Ghannadiasl

Dolaghb

2020

IJE

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Railway structures are one of the most important structures in transportation. So the lack of precise study of their dynamic behavior leads to irreparable damages. The significant factors contributing to the accurate analysis of the dynamic behavior of railways are the type of load and foundation used in it. In this study, an Euler-Bernoulli beam subjected to a moving load on a finite depth foundation is presumed. According to the feature of finite beams, just the dynamic equilibrium in the vertical direction is regarded. In this paper, by using equilibrium equations and considering the influence of soil and structure interaction, the physical problem is simulated and by using Fourier transform method the governing differential equations are obtained. Then, the mathematical model based on suggested models is expanded and verified. By assessing the efficiency of the recommended method, the dynamic behavior of the beam is specified and the deflection ratios for various foundations are illustrated. The sensitivity analysis is provided to study the influence of various parameters such as velocity of moving load, elastic foundation depth and damping. Eventually, by considering the sequences of shear waves, critical velocity, which is dependent on the mass ratio, and various kinds of damping, deflection shapes of the beam are attained for the different velocities of the moving load, and the effect of soil depth on the dynamic behavior of the beam is discussed. It is indicated that, foundation inertia leads to a considerable reduction in critical velocity and can also intensify the response of the beam.

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Section: Introductionmentioning

confidence: 99%

Sensitivity Analysis of Vibration Response of Railway Structures to Velocity of Moving Load and Various Depth of Elastic Foundation

Ghannadiasl

Dolaghb

2020

IJE

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“…As early as 1976, Fryba [2] began the study of random vibration of bridge under a moving load. Since 1990s, many researchers have begun to investigate the theory of vehicle-bridge coupling calculation and computer simulation [3][4][5][6][7][8][9][10]. At the same time, the study of bridge model has developed from simple, small and medium span to complex and long span.…”

Section: Introductionmentioning

confidence: 99%

Research on the Train-Bridge Coupled Vibration and Dynamic Performance of Steel Box Hybrid Girder Cable-Stayed Railway Bridge

Yao

Wang

2020

Teh. vjesn

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Based on the Yongjiang Bridge, this paper used the numerical calculation and the field dynamic load test to study the coupled vibration and dynamic response of the steel box hybrid girder cable-stayed railway bridge. Each vehicle in the train was simulated with 31 degrees of freedom, and the oscillatory differential equation of vehiclebridge coupling was established by MATLAB software. Afterwards, the field tests were also conducted to determine the free vibration characteristics as well as the strain, displacement, and acceleration of the bridge superstructure under trains moving at different speeds and braking at a specified position from a set speed. According to the dynamic load test and Vehicle-Bridge Coupling Vibration analysis, the following conclusions are obtained: (1) The calculated results of vehicle-bridge coupling vibration agreed well with the measured ones, and the program could be used to analyze the dynamic performance of Railway cable-stayed bridges with steel box composite girders. (2) The measured first-order natural frequencies of transverse, vertical and longitudinal vibration were 0,39 Hz; 0,49 Hz and 0,88 Hz, respectively. The dynamic coefficients are 1,04-1,13, the maximum lateral and vertical accelerations are 1,10 m/s 2 and 1,11 m/s 2 , and the maximum derailment coefficient and load reduction rate are 0,55 and 0,39, respectively. These data showed that the dynamic parameters of bridges and vehicles met the requirements and had good stiffness and dynamic performance. (3) This paper, using the frequency limit of simply supported beam to restrain the natural frequencies of cable-stayed bridges is not appropriate, and it is necessary to propose the natural frequency limit value of cable-stayed bridge.

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“…e dynamic response of an infinite beam and a plate resting on a Pasternak foundation to the passage of a train of random forces, according either to Poisson's distribution or Erlang process, all travelling at the same speed, was analysed in [13], deriving explicit formulas for the expected value, the variance, and the n-th cumulant of flexural displacements. A spectral analysis of a beam's vibration with uncertain parameters under a random train of moving forces which forms a filtered Poisson process was studied in [14], assuming uncertain natural frequencies which were modelled by fuzzy numbers, random variables, or fuzzy random variables.…”

Section: Introductionmentioning

confidence: 99%

Power Spectral Density Response of Bridge‐Like Structures Loaded by Stochastic Moving Forces

Sorrentino

2019

Shock and Vibration

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In this study, simple and manageable closed form expressions are obtained for the mean value, the spectral density function, and the standard deviation of the deflection induced by stochastic moving loads on bridge-like structures. As a basic case, a simply supported beam is considered, loaded by a sequence of concentrated forces moving in the same direction, with random instants of arrival, constant random crossing speeds, and constant random amplitudes. The loads are described by three stochastic processes, representing an idealization of vehicular traffic on a bridge in case of negligible inertial coupling effects between moving masses and structure. System’s responses are analytically determined in terms of mean values and power spectral density functions, yielding standard deviations, with the possibility to easily extend the results to more refined models of single span bridge-like structures. Potential applications regard structural analysis, vibration control, and condition monitoring of traffic excited bridges.

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Spectral density of the bridge beam response with uncertain parameters under a random train of moving forces

Cited by 19 publications

References 27 publications

Sensitivity Analysis of Vibration Response of Railway Structures to Velocity of Moving Load and Various Depth of Elastic Foundation

Sensitivity Analysis of Vibration Response of Railway Structures to Velocity of Moving Load and Various Depth of Elastic Foundation

Research on the Train-Bridge Coupled Vibration and Dynamic Performance of Steel Box Hybrid Girder Cable-Stayed Railway Bridge

Power Spectral Density Response of Bridge‐Like Structures Loaded by Stochastic Moving Forces

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