Purpose

This paper aims to present a nonclassical circular plate model subjected to hydrostatic pressure and electrostatic actuations by considering the modified couple stress theory and the surface elasticity theory. The pull-in phenomenon and nonlinear behavior of circular nanoplate are investigated.

Design/methodology/approach

The hybrid differential transformation method (DTM) and finite difference method (FDM) are used to approach the model. The DTM was first applied to the equation with respect to the time, and then the FDM was applied with respect to the radius.

Findings

The numerical results were in agreement with the numerical data in the previous literature. The effects of the length scale parameters, surface parameters, thermal stress, residual stress, hydrostatic pressure and electrostatic actuations of the nonclassical circular plate on the pull-in instability are investigated. The parametric study demonstrated that the pull-in behavior of the circular nanoplate was size dependent.

Originality/value

In this study, the results provide a suitable method in a nonclassical circular plate model. The length scale parameter had an obvious effect on the nonlinear behavior of the circular nanoplate.

中文翻译：

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基于修正偶应力理论的圆形纳米板致动器的牵引行为研究

目的

本文旨在通过考虑修正的耦合应力理论和表面弹性理论，提出一个受到静水压力和静电驱动的非经典圆板模型。研究了圆形纳米片的拉入现象和非线性行为。

设计/方法/方法

使用混合微分变换法（DTM）和有限差分法（FDM）来逼近模型。首先将 DTM 应用于与时间相关的方程，然后将 FDM 应用于与半径相关的方程。

发现

数值结果与先前文献中的数值数据一致。研究了非经典圆板的长度尺度参数、表面参数、热应力、残余应力、静水压力和静电驱动对牵引失稳的影响。参数研究表明，圆形纳米板的拉入行为与尺寸有关。

原创性/价值

在这项研究中，结果为非经典圆板模型提供了一种合适的方法。长度尺度参数对圆形纳米板的非线性行为有明显影响。