In this work, nonlinear vibration and frequency response analysis of a double-walled piezoelectric nanoresonator based on a cylindrical nanoshell is performed using the Gurtin–Murdoch surface/interface theory. The piezoelectric nanoresonator is simultaneously subjected to the visco-Pasternak medium and nonlinear van der Waals and electrostatic forces. It is found that the electrostatic and piezoelectric voltages, length to radius ratio, nanoresonator gap width, linear and nonlinear van der Waals coefficients and other parameters can effectively change the flexural rigidity of the system, which in turn affects the nonlinear frequency response. Also, increasing or decreasing of some parameters leads to increase or decrease in the resonance amplitude, resonant frequency, instability of the system, nonlinear behavior and bandwidth.

中文翻译：

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非线性范德华和静电激励的双壁压电纳米谐振器的非线性振动和稳定性分析

在这项工作中，使用Gurtin-Murdoch表面/界面理论对基于圆柱纳米壳的双壁压电纳米谐振器进行了非线性振动和频率响应分析。压电纳米谐振器同时受到粘滞Pasternak介质和非线性范德华力及静电力的作用。发现静电和压电电压，长径比，纳米谐振器间隙宽度，线性和非线性范德华系数等参数可以有效地改变系统的抗弯刚度，进而影响非线性频率响应。同样，某些参数的增加或减少也会导致共振幅度，共振频率，系统的不稳定性，非线性行为和带宽的增加或减少。