Free Transverse Vibrations of Elastically Connected Simply Supported Double-Beam Complex System

Oniszczuk, Z.

doi:10.1006/jsvi.1999.2744

Cited by 162 publications

(69 citation statements)

References 35 publications

(34 reference statements)

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“…The regular and repetitive nature of groups of train axle loads can induce resonance situations in these structures, a phenomenon that takes place when the time interval between the passage of repeated groups of loads is a multiple of one of the natural periods of the bridge.Ψ n = 1 ing bridges are unable to fulfil the Standards, the horizontal structures are sometimes replaced by new decks with higher transverse stiffness. Alternatively, the strenghtening procedure consists in a partial embedment of the abutmens, leading to a kind of portal frame or integral bridge [1].On the other hand, a number of researchers have evaluated in the past years the possibility of applying passive control techniques [4,5,6,7] that could avoid the deck replacement by increasing structural damping. These facts point out the importance of using accurate enough numerical models, able to realistically predict the vibration levels in the deck with reasonable computational costs.…”

Section: Introductionmentioning

confidence: 99%

Dynamic performance of existing double track railway bridges at resonance with the increase of the operational line speed

Moliner

Martínez-Rodrigo

Museros

2017

Engineering Structures

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This article addresses the dynamic behaviour of double track simply supported bridges of short to medium span lengths (10 m < L < 25 m) belonging to conventional railway lines. These structures are susceptible to experience inadmissible levels of vertical vibrations when traversed by trains at high speeds, and in certain cases their dynamic performance may require to be re-evaluated in case of an increase of the traffic velocity above 200 km/h. In engineering consultancies, these structures have been traditionally analysed under the passage of trains at different speeds using planar models, neglecting the contribution of transverse vibration modes and also the flexibility of the elastomeric bearings. The study presented herein endeavours to evaluate the influence of these two aspects in the verification of the Serviceability Limit State of vertical accelerations, which is of great interest in order to guarantee a conservative prediction of the dynamic behaviour. In the present study, the dynamic response of representative slab and girder bridges has been evaluated using an orthotropic plate finite element model, leading to practical conclusions regarding the circumstances under which the above mentioned factors should be considered in order to adequately evaluate the transverse vibration levels of the deck.

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Section: Introductionmentioning

confidence: 99%

Dynamic performance of existing double track railway bridges at resonance with the increase of the operational line speed

Moliner

Martínez-Rodrigo

Museros

2017

Engineering Structures

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“…It is worth noting that in this case the core becomes purely elastic, as considered in Refs. [12,13]; in contrast with these studies, however, in our formulation the outer beams can be inhomogeneous and with any boundary conditions.…”

Section: Undamped Vibrationsmentioning

confidence: 77%

“…Two restrictions, however, limit the practical applicability of this solution: i) outer beams must be homogenous and identical; ii ) boundary conditions on the same side of the system must be the same. Oniszczuk [12,13] presented some analytical expressions for the undamped free and forced vibrations of a simplysupported double-beam system. In his formulation the outer beams can be different from each other, but they must be homogeneous and pinned at the ends; moreover, the damping is totally neglected.…”

Section: Several Interesting Analytical Work Have Been Developed In mentioning

confidence: 99%

A Galerkin-type state-space approach for transverse vibrations of slender double-beam systems with viscoelastic inner layer

Palmeri

Adhikari

2011

Journal of Sound and Vibration

100

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“…In [3], the vibrations of uniform beams connected by homogeneous elastic layer are devoted. Oniszczuk [4] discussed the free transverse vibrations of two parallel simply supported beams continuously joined by a Winkler elastic layer. The motion of the system was described by a homogeneous set of two partial differential equations, which was solved by using the classical BernoulliFourier method.…”

Section: Introductionmentioning

confidence: 99%

Free Vibration Characteristic of Multilevel Beam Based on Transfer Matrix Method of Linear Multibody Systems

Abbas

Rui

2014

Advances in Mechanical Engineering

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In this paper, an approach based on transfer matrix method of linear multibody systems (MS-TMM) is developed to analyze the free vibration of a multilevel beam, coupled by spring/dashpot systems attached to them in-span. The Euler-Bernoulli model is used for the transverse vibration of the beams, and the spring/dashpot system represents a simplified model of a viscoelastic material. MS-TMM reduces the dynamic problem to an overall transfer equation which only involves boundary state vectors. The state vectors at the boundaries are composed of displacements, rotation angles, bending moments, and shear forces, which are partly known and partly unknown, and end up with reduced overall transfer matrix. Nontrivial solution requires the coefficient matrix to be singular to yield the required natural frequencies. This paper implements two novel algorithms based on the methodology by reducing the zero search of the reduced overall transfer matrix's determinate to a minimization problem and demonstrates a simple and robust algorithm being much more efficient than direct enumeration. The proposal method is easy to formulate, systematic to apply, and simple to code and can be extended to complex structures with any boundary conditions. Numerical results are presented to show the validity of the proposal method against the published literature.

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Free Transverse Vibrations of Elastically Connected Simply Supported Double-Beam Complex System

Cited by 162 publications

References 35 publications

Dynamic performance of existing double track railway bridges at resonance with the increase of the operational line speed

Dynamic performance of existing double track railway bridges at resonance with the increase of the operational line speed

A Galerkin-type state-space approach for transverse vibrations of slender double-beam systems with viscoelastic inner layer

Free Vibration Characteristic of Multilevel Beam Based on Transfer Matrix Method of Linear Multibody Systems

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