In this study, the dynamic behavior of composite beams reinforced by carbon nanotubes (CNTs) exposed to a mass moving is investigated. By considering the external potential energy due to the applied moving mass, the equations of motion of the CNT-reinforced beam are obtained using Hamilton’s principle by combining Reddy’s third-order shear deformation theory and nonlocal strain gradient theory. Three types of aligned CNT-reinforced beams are considered, namely uniformly distributed CNT beams (UD-CNT) and functionally graded CNT beams type Λ (FGΛ-CNT), and type X (FGX-CNT). Navier’s procedure is applied to obtain the closed-form solutions of simply supported CNT-reinforced beams. Verification of the present solution with previous works is presented. A detailed parametric analysis is carried out to highlight the impact of moving load velocity, nonlocal parameter, material scale parameter, total volume fraction and CNTs distribution patterns on the midspan deflections of CNTs-reinforced composite beams. The proposed model is useful in the designing and analyzing of MEMS/NEMS, nanosensor, and nanoactuator manufactured from CNTs.

在这项研究中，研究了暴露于质量运动的碳纳米管（CNTs）增强的复合梁的动力学行为。通过考虑由于施加的运动质量而产生的外部势能，结合汉兰顿原理，结合雷迪三阶剪切变形理论和非局部应变梯度理论，得到了碳纳米管增强梁的运动方程。考虑了三种类型的对齐的CNT增强梁，即均匀分布的CNT梁（UD-CNT）和功能梯度CNT类型Λ（FGΛ-CNT）和X类型（FGX-CNT）。应用Navier的程序来获得简单支撑的CNT加固梁的闭合形式解。提出了对现有解决方案的验证。进行了详细的参数分析，以突出移动负载速度的影响，非局部参数，材料比例参数，总体积分数和CNTs增强复合梁中跨挠度上的CNTs分布模式。所提出的模型可用于设计和分析MEMS / NEMS，由纳米管制造的纳米传感器和纳米致动器。