Rotary Inertia and Higher Modes Effect on the Dynamic Response of Timoshenko Beams on Two-Parameter Elastic Foundation

Hızal, Çağlayan; Çatal, Hikmet Hüseyin

doi:10.18400/tekderg.408772

Cited by 2 publications

(1 citation statement)

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“…20 Özturk and Coşkun 21 provide the analytical results for the free vibration analysis of beam on elastic foundation for three different axially loaded cases under classical boundary conditions. Hızal and Çatal 22,23 present a comprehensive analysis on the effect of rotary inertia and higher modes on the dynamic response of axial-load beams resting on modified Vlasov foundation and two-parameter elastic foundation. For more accurate simulation of the bearing support, vibration study of partially supported beams was also carried out by Eisenberger et al 24 By transforming the partial support into an external load, Motaghian et al 25 discussed the vibration characteristics of beam structure with various boundaries.…”

Section: Introductionmentioning

confidence: 99%

Flexural vibration and power flow analyses of axially loaded beams with general boundary and non-uniform elastic foundations

Zhao

2014

Advances in Mechanical Engineering

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In this article, flexural vibration and its power flow of an axially loaded beam with arbitrary boundary and non-uniform elastic foundation are analyzed via energy principle in conjunction with Rayleigh–Ritz procedure. A general solution is assumed as a modified version of Fourier series supplemented with boundary-smoothing auxiliary terms. Effects of axial load and elastic foundation of the beam are taken into account in terms of potential energy in system Lagrangian. Critical load of this axially loaded beam is obtained under elastic boundary condition and non-uniform foundation. Numerical examples are then presented to demonstrate the reliability and effectiveness of the established model by comparing results with those available in literature or calculated using finite element method. Results show that the current model can make an accurate dynamic analysis for the elastically restrained beam with axial load and non-uniform elastic foundation. Influence of some important factors, including boundary restraint, axial load, and non-uniform foundation, on the vibration characteristics and power flow transmission are studied and addressed. It is found that the supporting condition has a significant influence on power flow distribution across the whole beam, in which the shear force component plays a dominant role for the power flow transmission.

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