International Journal of Engineering Science ( IF 6.6 ) Pub Date : 2020-06-20 , DOI: 10.1016/j.ijengsci.2020.103339 Arameh Eyvazian , Davood Shahsavari , Behrouz Karami
As a first endeavor, the dynamic analysis of functionally graded graphene nanoplatelets reinforced composite (FG-GNPRC) cylindrical nanoshell subjected to a moving harmonic load is investigated. The effective mechanical properties of the nanocomposite are found using the Halpin-Tsai model and a modified rule of mixture. The equations of motion for the structure resting on an elastic foundation are derived based on first order shear deformation theory (FSDT) in conjunction with the nonlocal strain gradient theory (NSGT) via Hamilton's principle. Accordingly, the shear deformation, rotary inertia, softening-stiffness and stiffness-enhancement effects are considered. Afterwards, a time-dependent system of state-space is solved for the dynamic analysis of the structure with simply supported boundary conditions. After validating the approach, some novel results are prepared to investigate the impact of size-dependent effects, weight fraction index and the total number of layers of GNPs, elastic foundation parameters, and exciting frequency on the forced vibration of FG-GNPRC cylindrical nanoshells under harmonic moving load through variations in load velocity as well as time history.
中文翻译:
承受移动谐波载荷的石墨烯增强纳米复合圆柱壳的动力学
作为第一步,研究了功能梯度石墨烯纳米片增强复合材料(FG-GNPRC)圆柱纳米壳在运动谐波载荷下的动力学分析。使用Halpin-Tsai模型和改进的混合规则可以发现纳米复合材料的有效机械性能。基于一阶剪切变形理论(FSDT)和非局部应变梯度理论(NSGT),通过汉密尔顿原理,推导了基于弹性地基的结构的运动方程。因此,考虑了剪切变形,旋转惯性,软化刚度和刚度增强效果。然后,解决了一个时空相关的状态空间系统,对具有简单支持的边界条件的结构进行动态分析。验证方法后,