Free vibrations of a mono-coupled periodic system

Faulkner, M.G.; Hong, D.P.

doi:10.1016/0022-460x(85)90443-2

Cited by 106 publications

(49 citation statements)

References 6 publications

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“…It allows to define the vector of generalized displacements and generalized forces at the end of a periodic cell in terms of the same vector at the beginning of the cell. Examples for mono-coupled elastic periodic structures can be found in [20,[25][26][27]. In the present case, the structure is a bicoupled system, because there are 2 degrees of freedom, i.e.…”

Section: (B) Dispersion In the Asymptotic Reduced Modelmentioning

confidence: 93%

Dynamic response and localization in strongly damaged waveguides

2014

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In this paper, we investigate the formation of band-gaps and localization phenomena in an elastic strip nearly disintegrated by an array of transverse cracks. We analyse the eigenfrequencies of finite, strongly damaged, elongated solids with reference to the propagation bands of an infinite strip with a periodic damage. Subsequently, we determine analytically the band-gaps of the infinite strip by using a lower-dimensional model, represented by a periodically damaged beam in which the small ligaments between cracks are modelled as 'elastic junctions'. The effective rotational and translational stiffnesses of the elastic junctions are obtained from an ad hoc asymptotic analysis. We show that, for a finite frequency range, the dispersion curves for the reduced beam model agree with the dispersion data determined numerically for the two-dimensional elastic strip. Exponential localization, boundary layers and standing waves in strongly damaged systems are discussed in detail.

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Section: (B) Dispersion In the Asymptotic Reduced Modelmentioning

confidence: 93%

Dynamic response and localization in strongly damaged waveguides

2014

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“…We also assume that each cylinder has the same mass M" @ ah. Using the method of Faulkner & Hong (1985), we obtain eigenfrequencies and eigenmodes (normal modes) of the dry system as…”

Section: Resonant Modes For An Elastically Connected Cylinder Arraymentioning

confidence: 99%

Resonances in Wave Diffraction/Radiation for Arrays of Elastically Connected Cylinders

Utsunomiya

Taylor

2000

Journal of Fluids and Structures

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“…If W ¼ 0 or p; only one of the two coincident eigenvalues must be taken. As usually done in the literature, previous findings can be restated in terms of the propagation constants m i ; instead of the eigenvalues l i ; by defining l i ¼ e To solve (2) it is convenient to rewrite it in terms of the propagation constant m: By letting l ¼ e m and multiplying by e 2m ; equation (2) reads…”

Section: Propagation Regions On the Invariants' Planementioning

confidence: 99%