Dynamic Analysis of a Nano-Plate Carrying a Moving Nanoparticle Considering Eelectrostatic and Casimir Forces

Subject Areas : Engineering

A Ghgorbanpour Arani ¹ , M Shokravi ²

1 - Faculty of Mechanical Engineering, University of Kashan--- Institute of Nanoscience & Nanotechnology, University of Kashan
2 - Faculty of Mechanical Engineering, University of Kashan

Received: 2012-02-25 Accepted : 2012-04-27 Published : 2012-06-30

Keywords: Casimir force, Vibration analysis, Moving nanoparticle, Mode number,

Abstract :

This paper reports an analytical method to show the effect of electrostatic and Casimir forces on the pull-in instability and vibration of single nano-plate (SNP) carrying a moving nanoparticle. Governing equations for nonlocal forced vibration of the SNP under a moving nanoparticle considering electrostatic and Casimir forces are derived by using Hamilton’s principle for the case when two ends are simply supported. The problem is solved by using the analytically and the time integration methods. The detailed parametric study is considered, focusing on the remarkable effects of the nanoparticle position, nonlocal parameters, nano-plate length, mode number, electric voltage of the Casimir parameter, and dielectric spacer with an initial gap on vibration of SNP.

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