COMPLEX DYNAMICS OF HIGH-SPEED AXIALLY MOVING SYSTEMS

✍ Scribed by F. PELLICANO; F. VESTRONI

• Publisher: Elsevier Science
• Year: 2002
• Tongue: English
• Weight: 468 KB
• Volume: 258
• Category: Article
• ISSN: 0022-460X
• DOI: 10.1006/jsvi.2002.5070

✦ Synopsis

In this paper, the dynamic response of a simply supported travelling beam subjected to a transverse load is investigated in the super-critical speed range. The well-known axially moving beam theory is considered and a simple viscous damping mechanism has been introduced. The displacement field is expanded in a series of the buckling modes, a sine series, and different techniques have been used in analyzing the response of the dynamical system. Periodic oscillations are studied by means of continuation techniques, while nonstationary dynamics are investigated through direct simulations. A comparison with the literature and a convergence test on the series expansion are performed. A sample case of a physical beam is developed and numerical results are presented concerning bifurcation analysis and stability, and direct simulations of global postcritical dynamics. A complex scenario of alternate regular and chaotic motions is found in a large range of the main parameters.