Small scale effect on the free vibration of orthotropic arbitrary straight-sided quadrilateral nanoplates |
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| Authors: | P. Malekzadeh A.R. Setoodeh A. Alibeygi Beni |
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| Affiliation: | 1. Department of Mechanical Engineering, Persian Gulf University, Bushehr 75168, Iran;2. Faculty of Mechanical and Aerospace Engineering, Shiraz University of Technology, Shiraz, Iran;3. Department of Civil Engineering, Persian Gulf University, Bushehr 75168, Iran |
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| Abstract: | As a first endeavor, the free vibration of orthotropic arbitrary straight-sided quadrilateral nanoplates is investigated using the nonlocal elasticity theory. The formulation is derived based on the first order shear deformation theory (FSDT). The solution procedure is based on the transformation of the governing equations from physical domain to computational domain and then discretization of the spatial derivatives by employing the differential quadrature method (DQM) as an efficient and accurate numerical tool. The formulation and the method of the solution are firstly validated by carrying out the comparison studies for the isotropic and orthotropic rectangular plates against existing results in literature. Then, the effects of nonlocal parameter in combination with the geometrical shape parameters, thickness-to-length ratio and the boundary conditions on the frequency parameters of the nanoplates are investigated. |
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| Keywords: | Free vibration Quadrilateral nanoplates Small scale effect Differential quadrature Nonlocal elasticity theory |
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