Exact solution for nonlocal axial vibration of embedded cantilever double-nanorod systems

In this paper axial vibration of a double-nanorod-system (DNRS) is investigated due to importance of the doublenanorod-systems in nano-optomechanical systems. The two nanorods are coupled by longitudinally directed distributed springs. Based on Eringen’s nonlocal elasticity theory, the governing equations are derived. Clamped–free boundary condition is employed and their explicit relationships are derived. Finally, frequency of the coupled system can be obtained using analytical approach. This study highlights that the nonlocal effect considerably influences the axial vibration of system. It is observed that the frequency ratio increase with increasing elastic medium constant. Moreover, frequency ratio decreases with increasing nonlocal parameter. The results obtained in this paper can be useful for the study of axially vibrating complex multiple-nanobeam system in NEMS and MEMS.

Keywords:

Double-nanorod system , Axial vibration , Nonlocal theory , Exact solution