This study presents the frequency analysis of a size-dependent laminated polymer composite microtube using a nonlocal strain-stress gradient (NSG) model. By applying energy methods (known as Hamilton’s principle), the motion equations of the laminated micro tube composites are developed. The thermodynamic equations of the laminated microtube are based on first-order shear deformation theory (FSDT), and a generalized differential quadrature method (GDQM) is employed to find the model for the natural frequencies. The results show that by considering C-F boundary conditions (BCs) and every even layers’ number in lower value of length scale parameter, the frequency of the structure drops by soaring this parameter. However, this matter is inverse in its higher value. Eventually, the ply angle’s influences, nonlocality as well as length scale element on the vibration of the laminated composite microstructure are investigated.

这项研究提出了使用非局部应变应力梯度（NSG）模型对尺寸相关的层压聚合物复合微管进行频率分析。通过应用能量方法（称为汉密尔顿原理），建立了层压微管复合材料的运动方程。叠层微管的热力学方程基于一阶剪切变形理论（FSDT），并采用广义微分正交方法（GDQM）来找到固有频率的模型。结果表明，通过考虑CF边界条件（BCs）和长度标度参数较低值中的每个偶数层数，结构的频率会因该参数的飙升而下降。但是，这件事的价值却相反。最终，帘布层角度的影响