NON-LINEAR DYNAMICS AND STABILITY OF CIRCULAR CYLINDRICAL SHELLS CONTAINING FLOWING FLUID. PART IV: LARGE-AMPLITUDE VIBRATIONS WITH FLOW

✍ Scribed by M AMABILI; F. PELLICANO; M.P. PAÏDOUSSIS

• Publisher: Elsevier Science
• Year: 2000
• Tongue: English
• Weight: 602 KB
• Volume: 237
• Category: Article
• ISSN: 0022-460X
• DOI: 10.1006/jsvi.2000.3070

✦ Synopsis

The response of a shell conveying #uid to harmonic excitation, in the spectral neighbourhood of one of the lowest natural frequencies, is investigated for di!erent #ow velocities. The theoretical model has already been presented in Part I of the present study. Non-linearities due to moderately large-amplitude shell motion are considered by using Donnell's non-linear shallow-shell theory. Linear potential #ow theory is applied to describe the #uid-structure interaction by using the model proposed by PamK doussis and Denise. For di!erent amplitudes and frequencies of the excitation and for di!erent #ow velocities, the following are investigated numerically: (1) periodic response of the system; (2) unsteady and stochastic motion; (3) loss of stability by jumps to bifurcated branches. The e!ect of the #ow velocity on the non-linear periodic response of the system has also been investigated. PoincareH maps and bifurcation diagrams are used to study the unsteady and stochastic dynamics of the system. Amplitude modulated motions, multi-periodic solutions, chaotic responses, cascades of bifurcations as the route to chaos and the so-called &&blue sky catastrophe'' phenomenon have all been observed for di!erent values of the system parameters; the latter two have been predicted here probably for the "rst time for the dynamics of circular cylindrical shells.

2000 Academic Press