Volume 15, Issue 4 (2015)                   Modares Mechanical Engineering 2015, 15(4): 101-111 | Back to browse issues page

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Ataei H, Tadi Bani Y. Size-dependent pull-in instability analysis of FGM nano-beam under molecular force by differential quadrature method. Modares Mechanical Engineering. 2015; 15 (4) :101-111
URL: http://journals.modares.ac.ir/article-15-1999-en.html
Abstract:   (2889 Views)
In this paper, pull-in instability of a cantilever beam type nanoactuator made of the functionally graded material (FGM) based on higher order modified strain gradient theory investigated. It is assumed that the functionally graded beam, made of germanium and silicon, follows the volume fraction definition and law of mixtures, and its properties change as a power function through its thickness. By changing the germanium constituent volume fraction percent of the nano-beam, five different types of the nano-beams are investigated. The influences of the volume fraction index, length scale parameter and the intermolecular forces, on the pull-in instability are examined. Principle of minimum total potential energy used to derive the nonlinear governing differential equation and consistent boundary conditions which is then solved using the differential quadrature method (DQM). The present analysis is validated through direct comparisons with published other research methods and experimental results and after comparison excellent agreement has been achieved between new solution method and other experimental and numerical solution results. Besides, the results demonstrate that size effect and amount of volume fraction have a substantial impact on the pull-in instability behavior of beam-type nanoactuator.
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Article Type: Research Article | Subject: Micro & Nano Systems
Received: 2014/12/23 | Accepted: 2015/01/22 | Published: 2015/02/21

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