A nonlinear model of inverted pendulum that exhibit unbounded single well φ6 potential is described. The complete equation for one-dimensional wind-induced sway is derived. The harmonic balance method along with Melnikov theory are used to seek the effects of aerodynamic drag forces on the amplitude of vibration, on the structure failure, and on the appearance of horseshoes chaos. Numerical simulations have been performed to confirm analytical investigation.

Issue Section:
Research Papers
Keywords:
aerodynamics, chaos, drag, nonlinear dynamical systems, numerical analysis, pendulums, vibrations, inverted pendulum, φ6potential, aerodynamic drag, harmonic balance method, escape, horseshoes chaos
Topics:
Chaos, Pendulums, Drag (Fluid dynamics), Air flow

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 by American Society of Mechanical Engineers
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