Dynamic Response Of The Simply Supported Functionally Graded Nanobeams Subjected To The Moving Load

In recent years, along with the numerous scholar’s research on the nano-structure,the application of nano-structure is more and more widely. Made by the precision machining and ultra precision machining technology, some nano-devices not only has the ultra lower power consumption rate, but also has a higher performance than the traditional devices. With these tiny devices widely used in aerospace,micro-electronic and mechanical field, research on nano-structure has attracted a lot of attention of scholars from all walks of the world. Therefore, it is very necessary to study the in-depth research and analysis of the performance of mechanics in typical nano-scale beam structure.In the theory of classical mechanics, some tiny force(such as the Casimir force,Van Edward force) are not considered. Whereas, when the macro-theory is used to study the mechanical properties of nano-beam, the obtained results will no longer be accurate. The non-local theory which is proposed by Eringen, considered the small scale effect which is neglected in the classical mechanics theory. The theory includes the interaction forces between atoms, and it is the theoretical basis when we research the nano-structure beam.This paper is based on the nonlocal theory, and studying the dynamic response of FGM nanobeam under the moving force. In the frame of the nonlocal elasticity theory,utilizing the basic theory of functionally graded materials and the principle of Hamilton, we consider the change of dynamic response of functionally graded nanobeams with different beam theory under the moving loads. This article has two main parts:1) Dynamic response of the Euler-Bernoulli simply supported FGM nanobeam subjected to the moving force;2) Dynamic response of the Timoshenko simply supported FGM nanobeam subjected to the moving force.The results show that the dynamic responses of the nanobeam are distrinct under the different beam theory. In addition, functionally graded material parameter,nonlocal parameter and the speed of the moving force are closely related to the deflection of the nanobeam.The nanobeam structures as the main component of nanoelectro-mechanicalsystems or other nanoscale devices, the results of this study may provide certain reference for the prediction and design work.