In this paper the dynamic response of a simply supported traveling beam, subjected to a pointwise transversal load, is investigated. The motion is described by means of a high dimensional system of ordinary differential equations with linear gyroscopic part and cubic nonlinearities obtained through the Galerkin method. The system is studied in the super-critical speed range with emphasis on the stability and the global dynamics that exhibits special features after the first bifurcation. 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. In the supercritical speed range a regular motion around bifurcated equilibrium position becomes chaotic for particular values of frequency and force. The bifurcation diagram for varying force intensity is shown, it can be noticed that a chaotic motion occurs in a wide range of the forcing parameter, co-existiig with a 3T periodic solution in a limited window.

Post-critical response of an axially moving beam / Pellicano, F.; Vestroni, F.. - 7:(1999), pp. 1571-1578. (Intervento presentato al convegno ASME 1999 Design Engineering Technical Conferences, DETC 1999 tenutosi a usa nel 1999) [10.1115/DETC99AZIB-8038].

Post-critical response of an axially moving beam

Pellicano F.;
1999

Abstract

In this paper the dynamic response of a simply supported traveling beam, subjected to a pointwise transversal load, is investigated. The motion is described by means of a high dimensional system of ordinary differential equations with linear gyroscopic part and cubic nonlinearities obtained through the Galerkin method. The system is studied in the super-critical speed range with emphasis on the stability and the global dynamics that exhibits special features after the first bifurcation. 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. In the supercritical speed range a regular motion around bifurcated equilibrium position becomes chaotic for particular values of frequency and force. The bifurcation diagram for varying force intensity is shown, it can be noticed that a chaotic motion occurs in a wide range of the forcing parameter, co-existiig with a 3T periodic solution in a limited window.
1999
ASME 1999 Design Engineering Technical Conferences, DETC 1999
usa
1999
7
1571
1578
Pellicano, F.; Vestroni, F.
Post-critical response of an axially moving beam / Pellicano, F.; Vestroni, F.. - 7:(1999), pp. 1571-1578. (Intervento presentato al convegno ASME 1999 Design Engineering Technical Conferences, DETC 1999 tenutosi a usa nel 1999) [10.1115/DETC99AZIB-8038].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11380/1248812
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