The free vibrations of a two-layer beam are investigated. The asymptotic development method is applied to assess when axial and rotational inertia, shear deformations and interface normal compliance can be disregarded. In the limit case a simplified model with Euler Bernoulli kinematics for each layer, and with normal perfect adherence at interface, is obtained. The simplified model has only 2 unknowns (which can be easily reduced to a single unknown), versus the 8 of the original problem, and has only 2 dimensionless parameters, versus the 14 of the original problem, and thus can be handled more easily. Both the limit natural frequencies and their first order corrections are computed; the latter, in particular, permit determination of the sensitivity with respect to the parameters considered. (C) 2013 Elsevier Masson SAS. All rights reserved.

An asymptotic model for the free vibrations of a two-layer beam / Stefano, Lenci; Rega, Giuseppe. - In: EUROPEAN JOURNAL OF MECHANICS. A, SOLIDS. - ISSN 0997-7538. - STAMPA. - 42:(2013), pp. 441-453. [10.1016/j.euromechsol.2013.07.007]

An asymptotic model for the free vibrations of a two-layer beam

REGA, GIUSEPPE
2013

Abstract

The free vibrations of a two-layer beam are investigated. The asymptotic development method is applied to assess when axial and rotational inertia, shear deformations and interface normal compliance can be disregarded. In the limit case a simplified model with Euler Bernoulli kinematics for each layer, and with normal perfect adherence at interface, is obtained. The simplified model has only 2 unknowns (which can be easily reduced to a single unknown), versus the 8 of the original problem, and has only 2 dimensionless parameters, versus the 14 of the original problem, and thus can be handled more easily. Both the limit natural frequencies and their first order corrections are computed; the latter, in particular, permit determination of the sensitivity with respect to the parameters considered. (C) 2013 Elsevier Masson SAS. All rights reserved.
2013
asymptotic method; two-layer composite beam; free vibrations
01 Pubblicazione su rivista::01a Articolo in rivista
An asymptotic model for the free vibrations of a two-layer beam / Stefano, Lenci; Rega, Giuseppe. - In: EUROPEAN JOURNAL OF MECHANICS. A, SOLIDS. - ISSN 0997-7538. - STAMPA. - 42:(2013), pp. 441-453. [10.1016/j.euromechsol.2013.07.007]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/556642
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