Vibration analysis of beams traversed by uniform partially distributed moving masses

Esmailzadeh, Ebrahim; Ghorashi, Mehrdaad

doi:10.1006/jsvi.1995.0301

Cited by 119 publications

(76 citation statements)

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“…Figs. 11 and 12 present the comparison of current results on the dynamic deflection and those from previous studies (references [6], [7], [8]) that do not consider as many effects of a moving mass as the present study does, for  =0.7 and o v =0.1, 0.5. As can be seen in these figures, the previous results are somewhat different from the present results.…”

Section: W H E N T H E V E L O C I T Y O F T H E M O V I N G M a S mentioning

confidence: 69%

Dynamic Responses and Active Vibration Control of Beam Structures Under a Travelling Mass

Ryu¹,

Kong²

2012

Advances on Analysis and Control of Vibrations - Theory and Applications

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Section: W H E N T H E V E L O C I T Y O F T H E M O V I N G M a S mentioning

confidence: 69%

Dynamic Responses and Active Vibration Control of Beam Structures Under a Travelling Mass

Ryu¹,

Kong²

2012

Advances on Analysis and Control of Vibrations - Theory and Applications

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“…Among few authors in recent times who made effort to tackle the problem of elastic structures carrying distributed moving masses are [Esmailzadeh and Ghorashi (1995)] who carried out an analysis of the dynamic behaviour of Bernoulli-Euler beam carrying uniform partially distributed moving masses. They solved the problem by means of conventional analytical technique, which is only suitable for the simple horizontal beam and will suffer much difficult if the structures are complicated.…”

Section: Introductionmentioning

confidence: 99%

Behavioral Study of Finite Beam Resting on Elastic Foundation and Subjected to Travelling Distributed Masses

Omolofe

Adeloye

2017

Lat. Am. j. solids struct.

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The classical problem of the response characteristics of uniform structural member resting on elastic subgrade and subjected to uniform partially distributed load is studied in this work. The closed form solutions of the governing fourth order partial differential equations with variable coefficients are presented using an elegant analytical technique for the moving force and mass models. Various results and analyses are carried out on each of the pertinent boundary conditions and phenomenon of resonance is studied for the dynamical system. It was found that in all illustrative examples considered, for the same natural frequency, the critical speed for moving distributed mass problem is smaller than that of the moving distributed force problem. Hence, resonance is reached earlier in moving mass beam-load interaction problem. Finally, this work has suggested valuable methods of analytical solution for this category of problems for all boundary conditions of practical interest.

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“…The linear dynamic analysis of a simply-supported Timoshenko beam under the act of a moving mass has been studied in [12]. In [13], the finite difference technique was used in the dynamic analysis of a simple beam traversed by uniform partially moving masses. The vibration analysis of multi-span Timoshenko beams and frames due to moving loads were studied by [14,15], respectively.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear Dynamic Analysis of an Inclined Timoshenko Beam Subjected to a Moving Mass/Force with Beam’s Weight Included

Mamandi

Kargarnovin

2011

Shock and Vibration

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Abstract. In this study, the nonlinear vibrations analysis of an inclined pinned-pinned self-weight Timoshenko beam made of linear, homogenous and isotropic material with a constant cross section and finite length subjected to a traveling mass/force with constant velocity is investigated. The nonlinear coupled partial differential equations of motion for the rotation of warped cross-section, longitudinal and transverse displacements are derived using the Hamilton's principle. These nonlinear coupled PDEs are solved by applying the Galerkin's method to obtain dynamic responses of the beam. The dynamic magnification factor and normalized time histories of mid-point of the beam are obtained for various load velocity ratios and the outcome results have been compared to the results with those obtained from linear solution. The influence of the large deflections caused by a stretching effect due to the beam's fixed ends is captured. It was seen that existence of quadratic-cubic nonlinear terms in the nonlinear governing coupled PDEs of motion causes stiffening (hardening) behavior of the dynamic responses of the self-weight beam under the act of a traveling mass as well as equivalent concentrated moving force. Furthermore, in a case where the object leaves the beam, its planar motion path is derived and the targeting accuracy is investigated and compared with those from the rigid solution assumption.

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Vibration analysis of beams traversed by uniform partially distributed moving masses

Cited by 119 publications

References 0 publications

Dynamic Responses and Active Vibration Control of Beam Structures Under a Travelling Mass

Dynamic Responses and Active Vibration Control of Beam Structures Under a Travelling Mass

Behavioral Study of Finite Beam Resting on Elastic Foundation and Subjected to Travelling Distributed Masses

Nonlinear Dynamic Analysis of an Inclined Timoshenko Beam Subjected to a Moving Mass/Force with Beam’s Weight Included

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