On Nonlinear Oscillations Modeling in Structural Engineering and Solar Corona
Marcelo de Juli1; Yuri Silva2; Alexandre Moreno-Filho2; Max Schramm2
1 Universidade PresbiterianaMackenzie; 2 Universidade Presbiteriana Mackenzie
Resumo
The goal of this work is to discuss the possibility of applying models for vortex-induced vibration, usually associated with structural engineering problems, in a new area. The models could be useful to model the dynamics of nonlinear oscillation in coronal loops. Models for vortex-induced vibration use two nonlinear coupled oscillators to model the system: one oscillator describing the oscillation of the structure and other one describing the vortex dynamics in a fluid. The coupling of nonlinear oscillators like Van der Pol, Duffing and Duffing-Van der Pol could be useful in this modeling.
Palavras-chave: nonlinear dynamical systems; bifurcation analysis; fluids dynamics, plasma and turbulence; Van der Pol; vortex