Abstract
In this paper, nonlocal free longitudinal vibration of thick nanorods is investigated by focusing on the inertia of lateral motions and shear stiffness effects. To this end, Bishop and nonlocal theories are used. Then, by implementing the Hamilton’s principle nonlocal governing equation of motion and boundary conditions are derived. The governing equation is solved analytically for fixed-fixed and fixed-free end conditions and the first five longitudinal natural frequencies of nanorod are obtained. In the next step, effects of various parameters like the length of nanorod, the diameter of nanorod and the nonlocal parameter value on natural frequencies are investigated. This study can be a useful reference for modeling of the multi-walled carbon nanotubes in which the interlayer shear plays a significant role in their various mechanical behaviors.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
