Asymmetric oscillations of a shallow spherical cap under a harmonic pressure field: bifurcations and chaos
Giovanni Iarriccio  1, 2, @  , Antonio Zippo  2, 3, @  , Francesco Pellicano  1, 2, @  
1 : Università degli Studi di Modena e Reggio Emilia, Dipartimento di Ingegneria Enzo Ferrari  (UNIMORE)  -  Website
V. P. Vivarelli 10 41125 Modena ITALY -  Italy
2 : InterMech MoRe Centre  -  Website
Via Pietro Vivarelli 10 - int. 1 - 41125 Modena -  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
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