Nonlinear dynamics and bifurcations of an axially moving beam
By F. Pellicano, Fabrizio Vestroni. 2000
201 citations recorded by the source corpus.
The present paper analyzes the dynamic behavior of a simply supported beam subjected to an axial transport of mass. The Galerkin method is used to discretize the problem; a high dimensional system of ordinary differential equations with linear gyroscopic part and cubic nonlinearities is obtained. The system is studied in the sub and super-critical speed ranges 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 the convergence of the series expansion, linear subcritical behavior, bifurcation analysis and stability, and direct simulation of global postcritical dynamics. A homoclinic orbit is found in a high dimensional phase space and its stability and collapse are studied.
Subfields: Computational Mechanics, Computer Networks and Communications, Control and Systems Engineering
View Paper: https://www.semanticscholar.org/paper/eb7d1a6b4ae15251482c53f8d1b3a27a09a8c504
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In Computational Mechanics
In Computer Networks and Communications
In Control and Systems Engineering
Citations in the corpus
- Steady-state response of axially moving viscoelastic beams with pulsating speed: comparison of two nonlinear models (2005, background): “…parametric vibration (Ravindra and Zhu, 1998; Chakraborty and Mallik, 1998; Öz et al., 2001; Pellicano et al., 2001) as well as free vibration (Wickert, 1991; Pellicano and Zirilli, 1997; Pellicano and Vestroni, 2000) and forced vibration (Pellicano and Vestroni, 2002; Chakraborty et al., 1999).”