主共振纳米梁非线性振动电容控制

针对纳米梁非线性振动控制问题,以Euler-Bernoulli梁为模型,提出了纳米梁非线性振动电容式传感器控制方法。纳米梁电容器电容值随纳米梁的振动而变化,纳米梁电容式传感器根据电容变化提取振动信号,并将放大后的振动信号传递给控制器以控制纳米梁的非线性振动。应用多尺度法得到系统的近似解,推导出系统主共振的幅频响应方程。应用数值模拟方法,通过不同控制参数下的幅频图分析了纳米梁振动的非线性动力学行为。研究表明,该方法能够有效地控制纳米梁的非线性振动,通过选取适当的控制参数能够削弱甚至消除纳米梁非线性振动特性。

Capacitive Control of Nanobeam Nonlinear Vibration for Primary Resonance

A control method of the nanobeam capacitive sensor is presented for the problem of nonlinear vibration control of the nanobeam using the model of Euler-Bernoulli beam. The capacitance value of nanobeam capacitor changes with the nanobeam vibration. The nanobeam capacitive sensor is applied to extract the vibration singles according to the change of capacitance and to transform the enlarged singles into the controller to control the nonlinear vibration of nanobeam. The system approximate solution is obtained by the method of multiple scales and the amplitude-frequency response equation is derived. The nonlinear vibration dynamic behavior of the nanobeam is analyzed by the numerical simulation including the amplitude-frequency curves for different control parameters. The investigation shows the nonlinear vibration of nanobeam can be efficiently controlled using this method and the nonlinear vibration characteristics of nanobeam can be weakened even eliminated through selecting the appropriate control parameters.