In this paper, the effect of the companion mode participation on the nonlinear vibrations of functionally graded (FGM) cylindrical shells is analyzed. The Sanders-Koiter theory is applied to model the nonlinear dynamics of the system in the case of finite amplitude of vibration. The shell deformation is described in terms of longitudinal, circumferential and radial displacement fields. Simply supported boundary conditions are considered. The displacement fields are expanded by means of a double mixed series based on Chebyshev polynomials for the longitudinal variable and harmonic functions for the circumferential variable. Both driven and companion modes are considered. Numerical analyses are carried out in order to characterize the nonlinear response when the shell is subjected to an harmonic external load. A convergence analysis is carried out by considering a different number of axisymmetric and asymmetric modes. The present study is focused on modelling the nonlinear travelling-wave response of the shell in the circumferential direction with the companion mode participation.

Nonlinear vibrations of functionally graded cylindrical shells: effect of the companion mode participation / Andrisano, Angelo Oreste; Pellicano, Francesco; Strozzi, Matteo. - (2012). (Intervento presentato al convegno Sesta Giornata di Studio “Ettore Funaioli” GEF 2012 tenutosi a Bologna, Italy nel July 16, 2012).

### Nonlinear vibrations of functionally graded cylindrical shells: effect of the companion mode participation

#### Abstract

In this paper, the effect of the companion mode participation on the nonlinear vibrations of functionally graded (FGM) cylindrical shells is analyzed. The Sanders-Koiter theory is applied to model the nonlinear dynamics of the system in the case of finite amplitude of vibration. The shell deformation is described in terms of longitudinal, circumferential and radial displacement fields. Simply supported boundary conditions are considered. The displacement fields are expanded by means of a double mixed series based on Chebyshev polynomials for the longitudinal variable and harmonic functions for the circumferential variable. Both driven and companion modes are considered. Numerical analyses are carried out in order to characterize the nonlinear response when the shell is subjected to an harmonic external load. A convergence analysis is carried out by considering a different number of axisymmetric and asymmetric modes. The present study is focused on modelling the nonlinear travelling-wave response of the shell in the circumferential direction with the companion mode participation.
##### Scheda breve Scheda completa Scheda completa (DC)
2012
Sesta Giornata di Studio “Ettore Funaioli” GEF 2012
Bologna, Italy
July 16, 2012
Andrisano, Angelo Oreste; Pellicano, Francesco; Strozzi, Matteo
Nonlinear vibrations of functionally graded cylindrical shells: effect of the companion mode participation / Andrisano, Angelo Oreste; Pellicano, Francesco; Strozzi, Matteo. - (2012). (Intervento presentato al convegno Sesta Giornata di Studio “Ettore Funaioli” GEF 2012 tenutosi a Bologna, Italy nel July 16, 2012).
File in questo prodotto:
File
Andrisano_Pellicano_Strozzi_Paper_GEF 6.pdf

Open access

Tipologia: Abstract
Dimensione 526.88 kB
Utilizza questo identificativo per citare o creare un link a questo documento: `https://hdl.handle.net/11380/1083498`