标题： 优化具有二次和三次非线性的双频参量放大器的动力学行为 显示英文标题

标题： Optimizing the dynamical behavior of a dual frequency parametric amplifier with quadratic and cubic nonlinearities

摘要： 本文描述了一种新颖的参数激励方案，该方案通过控制两个泵浦信号和两个非线性反馈项作为可调放大器。 通过数字信号处理器调节机械振荡器的刚度，低频输入被投射到更高的共振频率，从而利用此类结构的自然选择性滤波。 描述了一种优化的双项非线性刚度谐振器，该谐振器增强了输入信号电平以及对幅度和相位变化的灵敏度，同时将获得的响应限制在所需的水平。 该放大器适用于输入频率已知或可测量的情况，例如旋转结构，而幅度和相位则在没有放大时太弱而无法检测。 结果显示，通过调整三次和二次反馈项，放大器能够受益于几乎线性的响应行为，同时利用非线性和泵浦信号增强的优势。 显示英文摘要

摘要： The paper describes a novel parametric excitation scheme that acts as a tunable amplifier by controlling two pumping signals and two nonlinear feedback terms. By modulating the stiffness of a mechanical oscillator with a digital signal processor, low frequency inputs are projected onto a higher resonance frequency, thus exploiting the natural selective filtering of such structures. Described is an optimized dual-term nonlinear stiffness resonator that enhances the input signal level and the sensitivity to changes in both amplitude and phase, while limiting the obtained response to desired levels. This amplifier is geared to cases when the frequency of the input is known or measurable, like in rotating structures, while the amplitude and phase are too weak to be detected without amplification. It is shown that by tuning the cubic and quadratic feedback terms, the amplifier benefits from a nearly linear response behavior, while exploiting the benefits of nonlinear and pumping signal enhancements.