Mixed Navier-layerwise differential quadrature three-dimensional static and free vibration analysis of functionally graded carbon nanotube reinforced composite laminated plates
Mixed Navier-layerwise differential quadrature three-dimensional static and free vibration analysis of functionally graded carbon nanotube reinforced composite laminated plates
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DOI：
10.1007/s11012-014-0061-4
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发表时间：
2014-10
期刊：
影响因子：
2.7
通讯作者：
P. Malekzadeh;Y. Heydarpour
中科院分区：
文献类型：
--
作者：
P. Malekzadeh;Y. Heydarpour
采用半解析方法对功能梯度（FG）碳纳米管增强复合材料（CNTRC）层合板进行了三维自由振动和静力分析。单个层假定由排列整齐的和直的单壁碳纳米管（CNTs）组成，其体积分数在厚度方向上分级，以及各向同性基质。通过微观力学模型估计了所得FG-CNTRC层的有效材料性能。采用分层微分正交法精确地模拟了位移分量的厚度变化，并利用三角级数逼近了它们的面内变化。在证明了该方法的收敛性和准确性之后，研究了几何参数、CNTs分布类型和体积分数以及层合方案对FG-CNTRC层状板固有频率、位移和应力分量的影响。
The three-dimensional free vibration and static analysis of the laminated plates with functionally graded (FG) carbon nanotube reinforced composite (CNTRC) layers is presented using a semi-analytical approach. The individual layers are assumed to be made from a mixture of aligned and straight single-walled carbon nanotubes (CNTs) with volume fractions graded in the thickness direction, and an isotropic matrix. The effective material properties of the resulting FG-CNTRC layers are estimated through a micromechanical model. The through-the-thickness variations of the displacement components are accurately modeled using a layerwise-differential quadrature method, and their in-plane variations are approximated using the trigonometric series. After demonstrating the convergence and accuracy of the method, the effects of geometrical parameters, type of CNTs distribution and volume fractions, and also lamination scheme on the natural frequencies, displacement and stress components of the FG-CNTRC layered plates are investigated.