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Asymmetric oscillations of a shallow spherical cap under a harmonic pressure field: bifurcations and chaos
1 : Università degli Studi di Modena e Reggio Emilia, Dipartimento di Ingegneria Enzo Ferrari
(UNIMORE)
-
Website
V. P. Vivarelli 10 41125 Modena ITALY -
Italy
3 : Università degli Studi di Modena e Reggio Emilia, Dipartimento di Ingegneria Enzo Ferrari
(UNIMORE)
-
Website
V. P. Vivarelli 10 41125 Modena ITALY -
Italy
The nonlinear vibrations of a homogeneous, isotropic, and shallow spherical cap under a harmonic pressure field are investigated. The problem is tackled using a semi-analytical method based on Novozhilov's nonlinear thin shell theory. The partial differential equations (PDEs) are reduced to a set of ordinary differential equations (ODEs) through the Rayleigh-Ritz approach and Lagrange equations. The final equations of motion are numerically solved using both continuation and direct integration techniques. Results depicted the activation of non-symmetric vibrational states, with the presence of multiple bifurcations and chaotically-modulated oscillations.
| Subject : | : | Oral + Young Scientist Award |
| Topics | : | MS-09 Nonlinear Dynamics in Engineering Systems |
| Keywords | : | shells ; spherical caps ; nonlinear oscillations ; bifurcations ; chaos |
| PDF version | : |  PDF version |
