Vibration of a beam on continuous elastic foundation with nonhomogeneous stiffness and damping under a harmonically excited mass

Koroma, Samuel; Hussein, M.F.M.; Owen, J.S.

doi:10.1016/j.jsv.2014.01.001

Cited by 18 publications

(8 citation statements)

References 20 publications

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“…This type of boundary has been used in dynamics of particular cases, for example, for beams or rails subjected to travelling loads, as reported by Farghaly and Zeid [29], Ruge and Birk [30], and Koroma et al [31]. In our case we discretized the elastic bed into separate springs equispaced along the length of the bed , each of a stiffness (see Figure 2).…”

Section: Dynamic Methods For Load Identificationmentioning

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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Section: Dynamic Methods For Load Identificationmentioning

confidence: 99%

Vibration Analysis for Monitoring of Ancient Tie-Rods

Collini¹,

Garziera²,

Riabova³

2017

Shock and Vibration

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“…It is therefore very apt for parametric analyses aiming at fundamental understanding. Frequencydomain models have been applied in the past with different degrees of complexity and with different aims, ranging from very simple beam-on-elastic-foundation (BOEF) models [18][19][20][21][22] to more sophisticated twoor three-layer linear beam models accounting for discrete sleeper spacing and transient loading [23][24][25][26][27][28] and finally fully three-dimensional beam or plate on halfspace models (eventually with stratification), the latter ones with the aim of predicting environmental vibration due to moving trains [29][30][31][32][33][34]. Given the scope of the present study and its preliminary character, it is chosen to adopt a model that is on one hand no more complicated than strictly necessary, on the other hand able to describe all individual track components and take into account energy dissipation in the substructure or subsoil.…”

Section: Imentioning

confidence: 99%

Effects of railway track design on the expected degradation: Parametric study on energy dissipation

Sadri

Steenbergen

2018

Journal of Sound and Vibration

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This paper studies the effect of railway track design parameters on the expected long-term degradation of track geometry. The study assumes a geometrically perfect and straight track along with spatial invariability, except for the presence of discrete sleepers. A frequency-domain two-layer model is used of a discretely supported rail coupled with a moving unsprung mass. The susceptibility of the track to degradation is objectively quantified by calculating the mechanical energy dissipated in the substructure under a moving train axle for variations of different track parameters. Results show that, apart from the operational train speed, the ballast/substructure stiffness is the most significant parameter influencing energy dissipation. Generally, the degradation increases with the train speed and with softer substructures. However, stiff subgrades appear more sensitive to particular train velocities, in a regime which is mostly relevant for conventional trains (100-200 km/h) and less for high-speed operation, where a stiff subgrade is always favorable and can reduce the sensitivity to degradation substantially, with roughly a factor up to 7. Also railpad stiffness, sleeper distance and rail cross-sectional properties are found to have considerable effect, with higher expected degradation rates for increasing railpad stiffness, increasing sleeper distance and decreasing rail profile bending stiffness. Unsprung vehicle mass and sleeper mass have no significant influence, however, only against the background of the assumption of an idealized (invariant and straight) track. Apart from dissipated mechanical energy, the suitability of the dynamic track stiffness is explored as an engineering parameter to assess the sensitivity to degradation. It is found that this quantity is inappropriate to assess the design of an idealized track.

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“…non-random) variation of foundation stiffness. [12][13] Coelho et al 14 discussed the dynamics of a railway track when it passes over a culvert. They observed that the difference in stiffness between the culvert and transition zone leads to formation of handing sleepers which in turn accelerates the track degradation.…”

Section: Introductionmentioning

confidence: 99%

Dynamic analysis of railway track on variable foundation under harmonic moving load

Phadke

Jaiswal

2021

Proceedings of the Institution of Mechanical Engineers, Part F:

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This paper aims to investigate the effect of variable foundation stiffness on the dynamic response of an infinite railway track under the action of a harmonic moving load. In this study, harmonic variation in the foundation stiffness along the track length is considered. Here, the dynamic response of the finite element (FE) model is obtained with the help of Newmark Beta method using programming in MATLAB. It is ascertained that in the central region of the long FE model, the response is repetitive, thereby ensuring that boundary conditions do not influence the response in the central region. In this problem, two frequencies, i.e. frequency of moving load and the spatial frequency of variable foundation stiffness, are involved. Their combined influence on the dynamic characteristics such as resonant frequency, critical velocity, displacement time history, displacement below load, and bifurcation curve are investigated. It is shown that the dynamic response is qualitatively and quantitatively affected by the wavelength (λ) and amplitude (ε) of the variation of foundation stiffness. It is also shown that the important dynamic properties, i.e., the critical velocity and the resonant frequency reduce with the increase in wavelength of stiffness variation. This reduction is significant for the large amplitude of harmonic stiffness variation.

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Vibration of a beam on continuous elastic foundation with nonhomogeneous stiffness and damping under a harmonically excited mass

Cited by 18 publications

References 20 publications

Vibration Analysis for Monitoring of Ancient Tie-Rods

Vibration Analysis for Monitoring of Ancient Tie-Rods

Effects of railway track design on the expected degradation: Parametric study on energy dissipation

Dynamic analysis of railway track on variable foundation under harmonic moving load

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