The wave propagation in structures of arbitrary complexity through the thickness can be analysed through different numerical approaches. The wave and finite element (WFE) relies on the postprocessing of a finite element (FE) model of a small segment/unit cell of a homogeneous/periodic structure. The FE model can be obtained using any commercial or in-house FE code which allows the exploitation of the existing meshing capabilities. Periodicity conditions are applied to the frequency dependent dynamic stiffness matrix of the segment and an eigenvalue problem is formulated. The eigensolutions yields the dispersion curves and the wavemodes of the structure. The formulation of the eigenvalue problem is a critical and sensitive part of the method. In this paper some of the possible eigenvalue formulations of the method are reviewed and compared in order to investigate their accuracy in terms of wave characterisation and the associated computational time. A numerical example of toroidal waveguides is given and discussed.
COMPARISON BETWEEN EIGENVALUE FORMULATIONS FOR WAVE CHARACTERISATION IN CURVED PIPES USING FINITE ELEMENT ANALYSIS / Andrea, Ricci; Manconi, Elisabetta; Jamil, Renno. - (2015), pp. 1-8. (Intervento presentato al convegno ICSV22, 22nd International Congress on Sound and Vibration tenutosi a Florence, Italy nel 12-16 July 2015).
COMPARISON BETWEEN EIGENVALUE FORMULATIONS FOR WAVE CHARACTERISATION IN CURVED PIPES USING FINITE ELEMENT ANALYSIS
MANCONI, Elisabetta;
2015-01-01
Abstract
The wave propagation in structures of arbitrary complexity through the thickness can be analysed through different numerical approaches. The wave and finite element (WFE) relies on the postprocessing of a finite element (FE) model of a small segment/unit cell of a homogeneous/periodic structure. The FE model can be obtained using any commercial or in-house FE code which allows the exploitation of the existing meshing capabilities. Periodicity conditions are applied to the frequency dependent dynamic stiffness matrix of the segment and an eigenvalue problem is formulated. The eigensolutions yields the dispersion curves and the wavemodes of the structure. The formulation of the eigenvalue problem is a critical and sensitive part of the method. In this paper some of the possible eigenvalue formulations of the method are reviewed and compared in order to investigate their accuracy in terms of wave characterisation and the associated computational time. A numerical example of toroidal waveguides is given and discussed.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
