A Semi-Analytical Finite Element (SAFE) method for modeling stress wave propagation in waveguides of arbitrary cross-section is presented. The known SAFE method is extended to account for viscoelastic material damping by considering complex stiffness matrices in the constitutive equations. Dispersive solutions are extracted by solving a generalized eigenvalue problem. Phase velocity, energy velocity, attenuation, and cross-sectional mode shapes are obtained for several examples including a viscoelastic plate, a railroad track and a axial symmetric layered cylinder. The response to harmonic point excitation is also represented.
Modeling guided wave propagation for structural monitoring of damped waveguides / Bartoli, I.; Marzani, Alessandro; Lanza di Scalea, F.; Viola, Erasmo. - STAMPA. - (2006). (Intervento presentato al convegno 3rd European Workshop on Structural Health Monitoring tenutosi a Granada, Spain nel July 05-07, 2006).
Modeling guided wave propagation for structural monitoring of damped waveguides
MARZANI, ALESSANDRO;VIOLA, ERASMO
2006
Abstract
A Semi-Analytical Finite Element (SAFE) method for modeling stress wave propagation in waveguides of arbitrary cross-section is presented. The known SAFE method is extended to account for viscoelastic material damping by considering complex stiffness matrices in the constitutive equations. Dispersive solutions are extracted by solving a generalized eigenvalue problem. Phase velocity, energy velocity, attenuation, and cross-sectional mode shapes are obtained for several examples including a viscoelastic plate, a railroad track and a axial symmetric layered cylinder. The response to harmonic point excitation is also represented.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
