Abstract

In the context of nonclassical continuum mechanics, the nonlocal strain gradient theory is employed to develop a nonclassical size dependent model to investigate the dynamic behavior of a CNTs reinforced composite beam resting on two parameters elastic foundations under a moving load. The governing dynamic equations of motion are derived based on third-order shear deformation theory using Hamilton’s principle. An analytical solution methodology is developed using Navier’s procedure is developed to derive the analytical solution for the equations of motion. The developed methodology is checked and compared. Parametric studies are conducted to demonstrate the applicability of the developed procedure to investigate the dynamic behavior of CNTs beams under moving load. Effects of the elastic foundation parameters, volume fraction, CNTs configuration, the nonclassical parameters, and the moving load velocity parameter on the dynamic behavior of CNTs beams under moving load are investigated and analyzed. The obtained results are supportive for design and manufacturing of composite CNTs beams.

摘要

在非经典连续介质力学的背景下，采用非局部应变梯度理论开发非经典尺寸相关模型，以研究移动载荷下位于两个参数弹性基础上的碳纳米管增强复合材料梁的动态行为。使用哈密顿原理基于三阶剪切变形理论推导了运动控制动态方程。使用纳维程序开发了解析解方法，以导出运动方程的解析解。对开发的方法进行检查和比较。进行参数研究以证明所开发程序的适用性，以研究移动负载下碳纳米管梁的动态行为。弹性地基参数、体积分数、碳纳米管配置的影响，研究并分析了非经典参数和移动负载速度参数对移动负载下碳纳米管梁动态行为的影响。所得结果支持复合碳纳米管梁的设计和制造。