A vibration control signal sensing method is proposed utilizing the grid electrode displacement sensitive effect of field-effect transistors. The signal sensing method is applied to nonlinear resonance delay control of a nanobeam that is used as the core component of nano–microdevices. The nonlinear vibration dynamical model of the nanobeam based on the field-effect tube sensing is established and the differential equation of motion with time delay control is presented. The amplitude frequency response equation and phase frequency response equation of the nanobeam are obtained by analyzing the first-order approximate solution of the primary and superharmonic vibration of the nonlinear equation with multi-scale method. The vibration feedback gain and time delay can affect the vibration amplitude and nonlinear behavior of the nanobeam. The nonlinear vibration of the nanobeam can be adjusted and effectively controlled by selecting appropriate feedback gains and time delays.

中文翻译：

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场效应晶体管传感的时延纳米束非线性振动控制

利用场效应晶体管的栅电极位移敏感效应，提出了一种振动控制信号传感方法。该信号传感方法应用于作为纳米微器件核心部件的纳米束的非线性谐振延迟控制。建立了基于场效应管传感的纳米梁非线性振动动力学模型，给出了时滞控制的运动微分方程。采用多尺度方法分析非线性方程的一次和超谐波振动的一阶近似解，得到纳米束的幅频响应方程和相频响应方程。振动反馈增益和时间延迟会影响纳米束的振动幅度和非线性行为。