Analytical approach to free and forced vibrations of axially loaded cracked Timoshenko beams

Mei, C.; Karpenko, Yuri; Moody, Stephen E.; Allen, David H.

doi:10.1016/j.jsv.2005.07.017

Cited by 56 publications

(17 citation statements)

References 14 publications

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“…In 2005, Mei and Mace [18] presented the wave propagation approach in a Timoshenko beam with discontinuity in the length of the beam. Also, the free and forced vibrations of axially loaded cracked Timoshenko beams were analyzed by Mei et al [19] using the wave approach. In 2007, the wave method was proposed by Lee et al [20] for thin, uniform, and curved beams with constant curvature to calculate the frequencies of the curved beams.…”

Section: Introductionmentioning

confidence: 99%

Free vibration analysis of composite, circular annular membranes using wave propagation approach

Bahrami

Teimourian

2015

Applied Mathematical Modelling

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Section: Introductionmentioning

confidence: 99%

Free vibration analysis of composite, circular annular membranes using wave propagation approach

Bahrami

Teimourian

2015

Applied Mathematical Modelling

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“…Simulation results by GA for the two examples are presented in Figs. (11) and (12). For the first example, the converged results for crack parameters are (β 1 , β 2 , β 3 , β 4 ) 31 = (21, 0.61, 36, 0.70).…”

Section: Numerical Simulations For the Identification Of Accurate Locmentioning

confidence: 98%

Identification of a multi-crack in a shaft system using transverse frequency response functions

Singh

Tiwari

2010

Mechanism and Machine Theory

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“…[11,12]. One should recall that the Euler model is valid only if the ratio of the depth to the length of the beam is small and if the beam is excited at low frequencies.…”

Section: Structural Model and Formulation Of The Problemmentioning

confidence: 99%

Effect of rotary inertia and shear on vibration and buckling of a double beam system under compressive axial loading

et al. 2011

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Free transverse vibration and buckling of a double-beam continuously joined by a Winkler elastic layer under compressive axial loading with the influence of rotary inertia and shear are considered in this paper. The motion of the system is described by a homogeneous set of two partial differential equations, which is solved by using the classical Bernoulli-Fourier method. The boundary value and initial value problems are solved. The natural frequencies and associated amplitude ratios of an elastically connected double-beam complex system and the analytical solution of the critical buckling load are determined. The presented theoretical analysis is illustrated by a numerical example, in which the effect of physical parameters characterizing the vibrating system on the natural frequency, the associated amplitude ratios and the critical buckling load are discussed.

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Analytical approach to free and forced vibrations of axially loaded cracked Timoshenko beams

Cited by 56 publications

References 14 publications

Free vibration analysis of composite, circular annular membranes using wave propagation approach

Free vibration analysis of composite, circular annular membranes using wave propagation approach

Identification of a multi-crack in a shaft system using transverse frequency response functions

Effect of rotary inertia and shear on vibration and buckling of a double beam system under compressive axial loading

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