Vibration analysis of a beam with moving support subjected to a moving mass travelling with constant and variable speed

Karimi, Amir Hossein; Ziaei-Rad, Saeed

doi:10.1016/j.cnsns.2015.05.018

Cited by 26 publications

(9 citation statements)

References 20 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…When the acceleration of a trolley is a known parameter, equations (10) and 11can be expressed as a nondimensional differential equation of motion in the following form:…”

Section: Shock and Vibrationmentioning

confidence: 99%

“…Michaltsos [9] investigated the linear dynamic response of a simply supported elastic singlespan beam under a constant magnitude moving load and variable velocity. Karimi and Ziaei-Rad [10] dealt with and analyzed the nonlinear coupled vibration of a beam with moving supports under the action of a moving mass. e research on the moving mass and beam coupling system focused mainly on the beam's dynamic response when moving mass at high speed.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Dynamic Responses of an Overhead Crane’s Beam Subjected to a Moving Trolley with a Pendulum Payload

Liu

2019

Shock and Vibration

View full text Add to dashboard Cite

An overhead crane with a flexible cable is an underactuated system; the vibration of the crane’s beam and the residual swinging of the payloads cause fatigue in the crane and affect the precise positioning of the payloads. In this paper, the coupling system of an overhead crane was simplified to that of a moving mass with pendulum swing passing beam model. The differential equation motion of a coupled overhead crane system was derived based on the Lagrange equation. Mathematical solution was carried out by using the Newmark-β integral method. The influences of the trolley’s acceleration and the parameters of the payloads on the vibration of the beam and the payloads’ swing were, respectively, analyzed. A numerical analysis of the results indicates that increasing the mass of the payloads leads to a larger deflection of the beam, whereas increasing the speed and acceleration of the trolley does not obviously influence the maximum deflection of the central beam.

show abstract

“…When the acceleration of a trolley is a known parameter, equations (10) and 11can be expressed as a nondimensional differential equation of motion in the following form:…”

Section: Shock and Vibrationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Dynamic Responses of an Overhead Crane’s Beam Subjected to a Moving Trolley with a Pendulum Payload

Liu

2019

Shock and Vibration

View full text Add to dashboard Cite

show abstract

“…Equations (33) and (34) can be introduced as an autonomous system (i.e. T 1 does not appear explicitly) by letting…”

Section: Primary Excitationmentioning

confidence: 99%

Nonlinear longitudinal forced vibration of a rod undergoing finite strain

Roody

Fotuhi

Jalili

2017

Proceedings of the Institution of Mechanical Engineers, Part C:

View full text Add to dashboard Cite

Rods are one of significant engineering’s structures and vibration analysis of a rod because of extended application of it in engineering is very important. Due to large amplitude or to excitations at frequencies close to their resonance frequencies, these structural elements can experience large amplitude, hence nonlinear vibration. Therefore, understanding of longitudinal nonlinear vibration of rods with different boundary conditions and large amplitude is very useful to reach an appropriate designing. In this paper, vibration of a rod with different boundary conditions undergoing finite strain, without simplification in strain–displacement equation, is investigated. For obtaining governing equation, Green–Lagrange strain, structural damping and Hamilton principle are used and then Galerkin method is employed to convert nonlinear partial differential equation to nonlinear ordinary differential equation. In spite of many papers that only use of cubic term for nonlinearity, the governing equation has quadratic and cubic terms. At the first, free vibration equations are solved with multiple time scales method and for verifying the accuracy of this method, the results are compared with results of Runge–Kutta numerical method, which have good accuracy. Then, forced vibration is investigated in the cases of primary resonance and hard excitation including sub-harmonic and super-harmonic resonances. Analytical expressions for frequency responses are derived, and the effects of different parameters including nonlinear coefficients, damping coefficient and external excitation are discussed.

show abstract

“…The European Standard EN1991-2 1991; American Railway Engineering and Maintenance-of-Way Association (AREMA) 1997; Union Internationale des Chemins de Fer 2002) rely heavily on static analysis methods to account for the impact of vehicle and train loads. While such simplified approaches can be acceptable for conventional train systems, previous studies have demonstrated that more sophisticated methods may be required to obtain accurate results, especially in case of long-span bridges traversed by high-speed loads (Nikkhoo et al 2007;Kiani and Nikkhoo 2012;Maximov 2014;Karimi and Ziaei-Rad 2015;Salcher and Adam 2015;Yang et al 2017;He 2018).…”

Section: Introductionmentioning

confidence: 99%

Vibration control of bridges under simultaneous effects of earthquake and moving loads using steel pipe dampers

Nikkhoo

Eskandari

Farazandeh

et al. 2019

Journal of Vibration and Control

View full text Add to dashboard Cite

This study aims to develop a practical methodology based on Eigenfunction Expansion Method (EEM) to assess the effects of simultaneous action of vertical earthquake excitation and moving vehicle loads in singlespan and multi-span simply supported bridges. While the effects of vertical earthquake ground motions are For the same maximum deflection limits, application of pipe dampers could reduce (up to 50%) the required flexural rigidity of the bridge, and therefore, lead to a more economic design solution with lower structural weight.

show abstract

Vibration analysis of a beam with moving support subjected to a moving mass travelling with constant and variable speed

Cited by 26 publications

References 20 publications

Dynamic Responses of an Overhead Crane’s Beam Subjected to a Moving Trolley with a Pendulum Payload

Dynamic Responses of an Overhead Crane’s Beam Subjected to a Moving Trolley with a Pendulum Payload

Nonlinear longitudinal forced vibration of a rod undergoing finite strain

Vibration control of bridges under simultaneous effects of earthquake and moving loads using steel pipe dampers

Contact Info

Product

Resources

About