Abstract

In this study, dynamic response of functionally graded (FG) nanobeam under a moving load in a thermal environment has been investigated. By considering the size effect, nonlocal Euler–Bernoulli beam theory has been used to model a FG nanobeam. By applying Hamilton’s principle, governing equations of motion and boundary conditions, have been derived. Analytical solution by using Laplace transform method has been achieved. Presented results have been verified by comparing with the results found in the literature, which this comparison shows good agreement between them. Influences of the nonlocal parameter, material distribution index, velocity of the moving load, and temperature changes on the response of the FG nanobeam have been investigated. The results show that increasing the nonlocal parameter and temperature changes leads to raising the dynamic deflection of the FG nanobeam.

摘要

在这项研究中，研究了功能梯度 (FG) 纳米梁在热环境中移动负载下的动态响应。通过考虑尺寸效应，非局域欧拉-伯努利光束理论已被用于模拟 FG 纳米光束。通过应用哈密顿原理，推导出运动控制方程和边界条件。利用拉普拉斯变换方法得到了解析解。通过与文献中发现的结果进行比较，验证了所呈现的结果，这种比较表明它们之间具有良好的一致性。研究了非局部参数、材料分布指数、移动负载的速度和温度变化对 FG 纳米梁响应的影响。