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Degenerate “Star†Bifurcations in a Twinkling Oscillator
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: We have studied a nonlinear springmass chain loaded by a quasistatic pull. The spring forces are assumed to be cubic with intervals of negative stiffness. Depending on the parameters, the system has multiple equilibria. ...
“Eclipse†Bifurcation in a Twinkling Oscillator
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: This work regards the use of cubic springs with intervals of negative stiffness, in other words, “snapthrough†elements, in order to convert lowfrequency ambient vibrations into highfrequency oscillations, referred to ...
Harmonic Balance Analysis of Snap Through Orbits in an Undamped Duffing Oscillator
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: A simple nonlinear undamped Duffing oscillator has been studied for its snapthrough behavior at largeamplitude vibrations. We present an algorithm that uses the harmonic balance (HB) method to find amplitude and frequency ...