F. Pellicano et al., Nonlinear vibrations and multiple resonances of fluid-filled, circular shells. part 2: Perturbation analysis, J VIB ACOUS, 122(4), 2000, pp. 355-364
Citations number
18
Categorie Soggetti
Mechanical Engineering
Journal title
JOURNAL OF VIBRATION AND ACOUSTICS-TRANSACTIONS OF THE ASME
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 exci
ted 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 oscilla
tion. Stationary and nonstationary oscillations are observed and the comple
x 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].