Abstract
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.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 355-364 |
| Number of pages | 10 |
| Journal | Journal of Vibration and Acoustics, Transactions of the ASME |
| Volume | 122 |
| Issue number | 4 |
| DOIs | |
| State | Published - Oct 2000 |
ASJC Scopus subject areas
- Acoustics and Ultrasonics
- Mechanics of Materials
- Mechanical Engineering