The nonlinear vibrations of functionally graded (FGM) circular cylindrical shells are analysed. The Sanders-Koiter theory is applied in order to model the nonlinear dynamics of the system. 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 a harmonic external load. A convergence analysis is carried out to obtain the correct number of axisymmetric and asymmetric modes describing the actual nonlinear behaviour. The influence of the material distribution on the nonlinear response is analysed considering different configurations and volume fractions of the constituent materials. The effect of the companion mode participation on the nonlinear response of the shell is analysed.

Nonlinear vibrations of functionally graded circular cylindrical shells subjected to harmonic external load / Strozzi, Matteo; Pellicano, Francesco. - (2013). (Intervento presentato al convegno 4th International Conference on Nonlinear Dynamics ND 2013 tenutosi a Sevastopol, Ukraine nel June 19-22, 2013).

### Nonlinear vibrations of functionally graded circular cylindrical shells subjected to harmonic external load

#### Abstract

The nonlinear vibrations of functionally graded (FGM) circular cylindrical shells are analysed. The Sanders-Koiter theory is applied in order to model the nonlinear dynamics of the system. 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 a harmonic external load. A convergence analysis is carried out to obtain the correct number of axisymmetric and asymmetric modes describing the actual nonlinear behaviour. The influence of the material distribution on the nonlinear response is analysed considering different configurations and volume fractions of the constituent materials. The effect of the companion mode participation on the nonlinear response of the shell is analysed.
##### Scheda breve Scheda completa Scheda completa (DC)
2013
4th International Conference on Nonlinear Dynamics ND 2013
Sevastopol, Ukraine
June 19-22, 2013
Strozzi, Matteo; Pellicano, Francesco
Nonlinear vibrations of functionally graded circular cylindrical shells subjected to harmonic external load / Strozzi, Matteo; Pellicano, Francesco. - (2013). (Intervento presentato al convegno 4th International Conference on Nonlinear Dynamics ND 2013 tenutosi a Sevastopol, Ukraine nel June 19-22, 2013).
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Utilizza questo identificativo per citare o creare un link a questo documento: `https://hdl.handle.net/11380/1083501`