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

Journal of Solid Mechanics

مقاله 4، دوره 4، شماره 2، شهریور 2012، صفحه 159-169   

نوع مقاله: Research Paper

نویسندگان

A Ghgorbanpour Arani^{* 1}؛ M Shokravi²

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

²Faculty of Mechanical Engineering, University of Kashan

چکیده

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.

کلیدواژه‌ها

Casimir force؛ Vibration analysis؛ Moving nanoparticle؛ Mode number

مراجع

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