Exact solution for free vibration of nanoplates via nonlocal first-order shear deformation plate theory
Publish place: The Second International Conference and the Third National Conference on the Application of New Technologies in Engineering Sciences
Publish Year: 1394
Type: Conference paper
Language: English
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ITCC02_375
Index date: 11 September 2016
Exact solution for free vibration of nanoplates via nonlocal first-order shear deformation plate theory abstract
In this paper, free vibration of nanoplate based on Eringen nonlocal elasticity theory and displacement field of first-order shear deformation plate theory (FSDT) are investigated. The governing equations of motion and corresponding boundary conditions are derived using Hamilton’s principle. Introducing an auxiliary function, an exact method is employed to analytically solve the coupled equations of motion for boundary conditions of simply supported at two opposite sides and arbitrary boundary conditions for the other two sides (Levy-type boundary conditions). In a comprehensive study, the effects of parameters such as nonlocal parameter, aspect ratio, thickness to length ratio, mode number, boundary conditions and also length of nanoplate are examined on the dimensionless natural frequency.
Exact solution for free vibration of nanoplates via nonlocal first-order shear deformation plate theory Keywords:
Exact solution for free vibration of nanoplates via nonlocal first-order shear deformation plate theory authors
Seyyed Ghasem Enayati
Department of Machanical Engineering Babol Noshirvani University of Technology,Iran
Morteza Dardel
Department of Machanical Engineering Babol Noshirvani University of Technology,Iran
Mohammad Hadi Pashaei
Department of Machanical Engineering Babol Noshirvani University of Technology,Iran
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