This paper put forth a new approach, based on the mathematical theory of homogenization, to study the vibration localization phenomenon in disordered rotationally periodic structures. In order to illustrate the method, a case-study structure is considered, composed of pendula equipped with hinge angular springs and connected one to each other by linear springs. The structure is mistuned due to mass and/or stiffness imperfections. Simple continuous models describing the dynamical behavior of the structure are derived and validated by comparison with a well-known discrete model. The proposed models provide analytical closed-form expressions for the eigenfrequencies and the eigenmodes, as well as for the resonance peaks of the forced response. These expressions highlight how the features of the dynamics of the mistuned structure, e.g. frequency split and localization phenomenon, depend on the physical parameters involved.

Bisegna, P., Caruso, G. (2011). Dynamical behavior of disordered rotationally periodic structures: a homogenization approach. JOURNAL OF SOUND AND VIBRATION, 330(11), 2608-2627 [10.1016/j.jsv.2010.12.009].

Dynamical behavior of disordered rotationally periodic structures: a homogenization approach

BISEGNA, PAOLO;
2011-01-01

Abstract

This paper put forth a new approach, based on the mathematical theory of homogenization, to study the vibration localization phenomenon in disordered rotationally periodic structures. In order to illustrate the method, a case-study structure is considered, composed of pendula equipped with hinge angular springs and connected one to each other by linear springs. The structure is mistuned due to mass and/or stiffness imperfections. Simple continuous models describing the dynamical behavior of the structure are derived and validated by comparison with a well-known discrete model. The proposed models provide analytical closed-form expressions for the eigenfrequencies and the eigenmodes, as well as for the resonance peaks of the forced response. These expressions highlight how the features of the dynamics of the mistuned structure, e.g. frequency split and localization phenomenon, depend on the physical parameters involved.
2011
Pubblicato
Rilevanza internazionale
Articolo
Sì, ma tipo non specificato
Settore ICAR/08 - SCIENZA DELLE COSTRUZIONI
English
Con Impact Factor ISI
disordered rotationally periodic structures; localization; homogenization; dynamics; modeling
Bisegna, P., Caruso, G. (2011). Dynamical behavior of disordered rotationally periodic structures: a homogenization approach. JOURNAL OF SOUND AND VIBRATION, 330(11), 2608-2627 [10.1016/j.jsv.2010.12.009].
Bisegna, P; Caruso, G
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2108/13504
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