Volume 13, Issue 15 (Third Special Issue 2014)
Modares Mechanical Engineering 2014, 13(15): 223-236 |
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Nonlinear free vibration of a single layered nanoplate based on the nonlocal elasticity. Modares Mechanical Engineering 2014; 13 (15) :223-236
URL: http://mme.modares.ac.ir/article-15-3441-en.html
URL: http://mme.modares.ac.ir/article-15-3441-en.html
Abstract: (6732 Views)
In this paper, nonlinear free vibration of a Nano plates rectangular has been investigated. For this purpose, first, the equations of motion for Nano plate which is considered as a continuous system have been derived using Hamilton principle based on classical plate theory. Then, by definition an stress function and using Galerkin method the equations converted to an ordinary nonlinear equation and a compatible equations. Using multiple time scale method this equation has been solved and analytical relations for first nonlinear natural frequency and nonlinear mode shaped have been derived. Then for example, these relations have been studied for Graphen sheet in Armchair and Zigzag structure and the effect of aspect ratio and nonlocal elasticity parameter on natural frequency have been investigated.
Article Type: Research Article |
Subject:
Vibration
Received: 2013/06/4 | Accepted: 2013/08/26 | Published: 2014/02/20
Received: 2013/06/4 | Accepted: 2013/08/26 | Published: 2014/02/20
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