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首页> 外文期刊>International journal of mechanics and materials in design >Nonlinear vibration of nanobeams under electrostatic force based on the nonlocal strain gradient theory
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Nonlinear vibration of nanobeams under electrostatic force based on the nonlocal strain gradient theory

机译：基于非本体应变梯度理论的静电力下纳米芯片的非线性振动

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摘要

The nonlinear vibration of a nanobeam under electrostatic force is investigated through the nonlocal strain gradient theory. Using Galerkin method, the partial differential equation of motion is reduced to an ordinary nonlinear differential one. The equivalent linearization method with a weighted averaging and a variational approach are used independently to establish the frequency-amplitude relationship under closed-forms for comparison purpose. Effects of material and operational parameters on the frequency ratio (the ratio of nonlinear frequency to linear frequency), on the nonlinear frequency, and on the stable configuration of the nanobeam are studied and discussed.
机译：通过非本质应变梯度理论研究了静电力下纳米射流的非线性振动。使用Galerkin方法，将运动的部分微分方程减少到普通的非线性差速器。具有加权平均和变分方法的等效线性化方法独立地使用，以建立闭合形式下的频率幅度关系以进行比较目的。研究了材料和操作参数对非线性频率的频率比（非线性频率与线性频率的比率）的影响，并讨论了纳米辐射的稳定配置。

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