Pull-in Instability Analysis of Nanoelectromechanical Rectangular Plates Including the Intermolecular, Hydrostatic, and Thermal Actuations Using an Analytical Solution Methodology

Abstract

The current paper presents a thorough study on the pull-in instability of nanoelectromechanical rectangular plates under intermolecular, hydrostatic, and thermal actuations. Based on the Kirchhoff theory along with Eringenʼs nonlocal elasticity theory, a nonclassical model is developed. Using the Galerkin method (GM), the governing equation which is a nonlinear partial differential equation (NLPDE) of the fourth order is converted to a nonlinear ordinary differential equation (NLODE) in the time domain. Then, the reduced NLODE is solved analytically by means of the homotopy analysis method. At the end, the effects of model parameters as well as the nonlocal parameter on the deflection, nonlinear frequency, and dynamic pull-in voltage are explored.

Interaction of transverse pressure and in-plane internal stresses on bi-stability of electrostatically rectangular microplates

“…Further, they have extended their studied to investigate in detail the bi-stability behavior of same model in presence of membrane load [33]. Along with internal stresses, effects of transverse pressure on instability of nanoplate including intermolecular force and surface energy have been investigated in detail by Samadani et al [34] and Karimipour et al [35].…”

An analytic study on the approximate solution of a nonlinear time‐fractional Cauchy reaction–diffusion equation with the Mittag–Leffler law

“…and deriving its approximate analytical solution using the homotopy analysis transform method. The HATM [17][18][19][20][21][22][23][24] which is a hybrid method based on the HAM [47][48][49][50] and the Laplace transform has demonstrated its potential in dealing with different types of fractional differential equations. It must be pointed out that the nonlinear time-fractional CRD equation and its classical form have been examined by different methods.…”

Research on visual optimization design of machine–machine interface for mechanical industrial equipment based on nonlinear partial equations

“…With network information technology and communication, although computer hardware technology is gradually becoming perfect, the human-machine interface design of information technology still is insufficient in many places, causing many problems in the process of human-machine interface using information technology. The effect due to the information transmission between the user and the system is caused by the user's cognitive impairment and easy-to-produce misunderstanding and error, thereby limiting the system performance [3]. Therefore, by building a safe and efficient system information environment, the human-machine interface can be implemented smoothly.…”