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Small scale effect on the free vibration of orthotropic arbitrary straight-sided quadrilateral nanoplates

机译:小尺度效应对正交各向异性任意直角四边形纳米板的自由振动

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摘要

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.
机译:作为第一个尝试,使用非局部弹性理论研究正交各向异性任意直边四边形纳米板的自由振动。该公式是根据一阶剪切变形理论(FSDT)得出的。求解过程基于控制方程从物理域到计算域的转换,然后通过使用微分正交方法(DQM)作为有效而精确的数值工具来离散空间导数。首先通过对各向同性和正交异性矩形板与文献中已有的结果进行比较研究,验证了溶液的配方和方法。然后,研究了非局部参数与几何形状参数,厚度长度比和边界条件对纳米板频率参数的影响。

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