The size-dependent electromechanical instability of double-sided and paddle-type actuators in centrifugal and Casimir force fields

Document Type: Article

Authors

1 Department of Mathematics, Isfahan (Khorasgan) Branch, Islamic Azad University, Isfahan, Iran

2 Department of Aerospace Engineering, Sharif University of Technology, Tehran, P.O. Box 11365-11155, Iran

3 Ionizing and Non-Ionizing Radiation Protection Research Center, Paramedical Sciences School, Shiraz University of Medical Sciences, Shiraz, Iran

4 The George Adomian Center for Applied Mathematics, 316 South Maple Street, Hartford, Michigan 49057-1225, USA.

5 Department of Radiology, Shahrekord University of Medical Sciences, Shahrekord, Iran

6 Department of Engineering, Shahrekord Branch, Islamic Azad University, Shahrekord, Iran

Abstract

The present research is devoted to theoretical study of the pull-in performance of double-sided and paddle-type NEMS actuators fabricated from cylindrical nanowire operating in the Casimir regime and in the presence of the centrifugal force. D'Alembert's principle was used to transform the angular velocity into an equivalent static, centrifugal force. Using the couple stress theory, the constitutive equations of the actuators were derived. The equivalent boundary condition technique was applied to obtain the governing equation of the paddle-type actuator. Three distinct approaches, the Duan-Adomian Method (DAM), Finite Di erence Method (FDM), and Lumped Parameter Model (LPM), were applied to solve the equation of motion of these two actuators. This study demonstrates the influence of various parameters, i.e., the Casimir force, geometric
characteristics, and the angular speed, on the pull-in performance.

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