Dynamic stability analysis of a thin-walled beam subjected to a time periodic gradient bending moment

Talimian, Abbas; Vörös, Gábor M.

doi:10.3311/ppci.7168

Cited by 3 publications

(1 citation statement)

References 11 publications

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“…Over the last decades, several studies have been published concerning the vibra-tion behavior of thin-walled members acted upon by axial forces (e.g., de Borbón and Ambrosini, 2010;Vo and Lee, 2011) and/or bending moments (e.g., Shih et al, 1986;Suryanarayan, 1989, 1991;Pavlović et al, 2007;Mohri et al, 2008;Magnucka-Blandzi, 2009;Lee, 2010, 2013;Motamarri and Suryanarayan, 2012;Talimian and Vörös, 2013;Kashani et al, 2014;Verma, 2015). Regarding the second group of publications, one must especially mention the contribution of (i) Shih et al (1986), related to the analytical solution of the flexural vibration of long simply-supported beams subjected to their own weight, (ii) Talimian and Vörös (2013) investigated the dynamic stability of a thin-walled beam subjected to a time periodic gradient bending mo-ment, and (iii) Verma (2015) analysed the flexural-torsional vibration of a thinwalled beam due to the combined action of bending moment and torque.…”

Section: Introductionmentioning

confidence: 99%

Vibration behavior of thin-walled steel members subjected to uniform bending

Dôres¹,

Camotim

Dinis

et al. 2018

REM, Int. Eng. J.

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This article reports the results of an investigation on the effects of internal moments on the vibration behavior of thin-walled steel members. The analyses are based on the Generalized Beam Theory (GBT), a thin-walled bar theory accounting for crosssection in-plane deformations -its main distinctive feature is the representation of the member deformed configuration by means of a linear combination of cross-section deformation modes, multiplied by their longitudinal amplitude functions. The study concerns a simply supported T-section (with unequal flanges) members exhibiting a wide range of lengths and subjected to uniform internal moment diagrams -their magnitudes are specified as percentages of the corresponding critical buckling values. After providing a brief overview of the main concepts and procedures involved in performing a GBT-based structural analysis, the vibration behavior of load-free and loaded T-section members is addressed -the influence of the applied loadings is assessed in terms of (i) the fundamental frequency difference and (ii) the change in the corresponding vibration mode shape. For validation purposes, some GBT results are compared with values yielded by shell finite element analysis performed in the code ABAQUS (Simulia, 2008).

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Section: Introductionmentioning

confidence: 99%

Vibration behavior of thin-walled steel members subjected to uniform bending

Dôres¹,

Camotim

Dinis

et al. 2018

REM, Int. Eng. J.

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Lateral-torsional dynamic instability of uniform and double-tapered rectangular beams under harmonic shear deformation

Plaut

2017

Engineering Structures

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Experimental Investigation of Vibration Response of a Flexible Coupler In a Four Bar Mechanism Due to Varying Crank Length and Crank Speed

et al. 2018

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Effort to increase productivity calls for increasingly higher operating speed. Consequently, many part of a machinery are made as light as possible to avoid the detrimental inertial effects. This condition means several of the elements are no longer rigid and tend to experience elastic deformation in operation. The existence of the deformation yields element possessing position dependent dynamic parameters. Mechanisms with timevarying parameter have a phenomenon known as parametric instability where the mechanism could becomes dynamically unstable at several frequency bands, even at relatively low excitation frequency. This research investigates the dynamic behaviour of a flexible coupler on an experimental four-bar mechanism setup. The study examines the coupler vibration response due to varying crank length and crank speed.

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Dynamic stability analysis of a thin-walled beam subjected to a time periodic gradient bending moment

Abstract: Abstract

Cited by 3 publications

References 11 publications

Vibration behavior of thin-walled steel members subjected to uniform bending

Vibration behavior of thin-walled steel members subjected to uniform bending

Lateral-torsional dynamic instability of uniform and double-tapered rectangular beams under harmonic shear deformation

Experimental Investigation of Vibration Response of a Flexible Coupler In a Four Bar Mechanism Due to Varying Crank Length and Crank Speed

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