The nonlinear ordinary differential equations describing the dynamics of a fluid filled circular cylindrical shell, obtained in Part I of the present study, is studied by using a second order perturbation approach and direct simulations. Strong modal interactions are found when the structure is excited with small resonant loads. Modal interactions arise in the whole range of vibration amplitude, showing that the internal resonance condition makes the system non-linearizable even for extremely small amplitudes of oscillation. Stationary and nonstationary oscillations are observed and the complex nature of modal interactions is accurately analyzed. No chaotic motion is observed in the case of 1:1:1:2 internal resonance studied [S0739-3717(00)01304-0].
Nonlinear vibrations and multiple resonances of fluid-filled, circular shells. part 2: Perturbation analysis / Pellicano, Francesco; M., Amabili; Af, Vakakis. - In: JOURNAL OF VIBRATION AND ACOUSTICS. - ISSN 1048-9002. - STAMPA. - 122:4(2000), pp. 355-364. [10.1115/1.1288591]
Nonlinear vibrations and multiple resonances of fluid-filled, circular shells. part 2: Perturbation analysis
PELLICANO, Francesco;
2000
Abstract
The nonlinear ordinary differential equations describing the dynamics of a fluid filled circular cylindrical shell, obtained in Part I of the present study, is studied by using a second order perturbation approach and direct simulations. Strong modal interactions are found when the structure is excited with small resonant loads. Modal interactions arise in the whole range of vibration amplitude, showing that the internal resonance condition makes the system non-linearizable even for extremely small amplitudes of oscillation. Stationary and nonstationary oscillations are observed and the complex nature of modal interactions is accurately analyzed. No chaotic motion is observed in the case of 1:1:1:2 internal resonance studied [S0739-3717(00)01304-0].
Pubblicazioni consigliate
I metadati presenti in IRIS UNIMORE sono rilasciati con licenza Creative Commons CC0 1.0 Universal, mentre i file delle pubblicazioni sono rilasciati con licenza Attribuzione 4.0 Internazionale (CC BY 4.0), salvo diversa indicazione.
In caso di violazione di copyright, contattare Supporto Iris
