论文标题
抑制失水不足的非线性谐振器中自我维持的振动的频率波动
Suppressing Frequency Fluctuations of Self-Sustained Vibrations in Underdamped Nonlinear Resonators
论文作者
论文摘要
我们考虑基于非线性失水谐振器的自我维持振荡器中的频率波动。此类谐振器的一种重要类型是纳米和微电力系统。考虑了各种噪声源，重点是从耦合到热储层的耗散带来的根本不可避免的噪声。从谐振器的动作角度变量方面的表述使我们能够研究深层的非线性制度。在此制度中，振动频率随动作的函数可以具有极值。我们表明，通过选择此极值的操作点可以大大降低频率波动。我们建议对具有适当属性并显示相应模型的明确结果的纳米装饰物的实际实现。
We consider frequency fluctuations in self-sustained oscillators based on nonlinear underdamped resonators. An important type of such resonators are nano- and micro-electro-mechanical systems. Various noise sources are considered, with the emphasis on the fundamentally unavoidable noise that comes along with dissipation from the coupling to a thermal reservoir. The formulation in terms of the action-angle variables of the resonator allows us to study a deeply nonlinear regime. In this regime the vibration frequency as a function of the action can have an extremum. We show that frequency fluctuations can be strongly reduced by choosing the operation point at this extremum. We suggest a practical implementation of a nanoresonator that has the appropriate property and show explicit results for the corresponding model.
