Topic
Parametric oscillator
About: Parametric oscillator is a research topic. Over the lifetime, 5836 publications have been published within this topic receiving 95631 citations. The topic is also known as: Parametric excitation.
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TL;DR: In this paper, a mass-spring-friction oscillator with a two-phase linear system with a slide-stick switch was considered and a simple slide-slide condition was obtained.
81 citations
TL;DR: In this paper, the authors used the asymptotic perturbation method to investigate nonlinear oscillations and chaotic dynamics in a rotor-active magnetic bearings (AMB) system with 8-pole legs and the time-varying stiffness.
Abstract: In this paper, we use the asymptotic perturbation method to investigate nonlinear oscillations and chaotic dynamics in a rotor-active magnetic bearings (AMB) system with 8-pole legs and the time-varying stiffness. The stiffness in the AMB is considered as the time varying in a periodic form. Because of considering the weight of the rotor, the formulation on the electromagnetic force resultants includes the quadratic and cubic nonlinearities. The resulting dimensionless equations of motion for the rotor-AMB system with the time-varying stiffness in the horizontal and vertical directions are a two-degree-of-freedom nonlinear system with quadratic and cubic nonlinearities and parametric excitation. The asymptotic perturbation method is used to obtain the averaged equations in the case of primary parametric resonance and 1/2 subharmonic resonance. It is found that there exist period-3, period-4, period-6, period-7, period-8, quasiperiodic and chaotic modulated amplitude oscillations in the rotor-AMB system with the time-varying stiffness. It is seen from the numerical results that there are the phenomena of the multiple solutions and the soft-spring type and the hardening-spring type in nonlinear frequency-response curves for the rotor-AMB system. The parametric excitation, or the time-varying stiffness produced by the PD controller is considered to be a controlling force which can control the chaotic response in the rotor-AMB system to a period n motion.
80 citations
TL;DR: In this article, the authors considered a three-part system, where one is subjected to an elastic foundation, and two are free to vibrate, and the equations of orders one and epsilon were derived using the method of multiple scales.
80 citations
TL;DR: In this article, a quadruply resonant MgO:LiNbO3 optical parametric oscillator with doubly resonant second-harmonic generation and doubly-resonant OO3 oscillation is presented.
Abstract: Monolithic total-internal-reflection resonators are low-loss broadband devices that permit variable input–output coupling. They are ideally suited as resonators for high-efficiency low-threshold widely tunable continuous-wave optical parametric oscillation. We demonstrate a continuous-wave quadruply resonant MgO:LiNbO3 optical parametric oscillator in which doubly resonant second-harmonic generation and doubly resonant optical parametric oscillation occur simultaneously. The threshold subharmonic power at 1.06 μm for oscillation near 1.06 μm is 0.4 mW. Stable single-frequency operation is achieved, and the tuning curve is measured.
80 citations
79 citations