TY - JOUR
T1 - Nonlinear vibrations and multiple resonances of fluid-filled, circular shells, part 2
T2 - Perturbation analysis
AU - Pellicano, F.
AU - Amabili, M.
AU - Vakakis, A. F.
PY - 2000/10
Y1 - 2000/10
N2 - The nonlinear ordinary differential equations describing the dynamics of a fluid filled circular cylindrical shell, obtained in Part 1 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.
AB - The nonlinear ordinary differential equations describing the dynamics of a fluid filled circular cylindrical shell, obtained in Part 1 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.
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U2 - 10.1115/1.1288591
DO - 10.1115/1.1288591
M3 - Article
AN - SCOPUS:0002470239
SN - 1048-9002
VL - 122
SP - 355
EP - 364
JO - Journal of Vibration, Acoustics, Stress, and Reliability in Design
JF - Journal of Vibration, Acoustics, Stress, and Reliability in Design
IS - 4
ER -