Abstract
Carbon nanocones have quite fascinating electronic and structural properties, whose axial vibration is seldom investigated in previous studies. In this paper, based on a nonlocal elasticity theory, a nonuniform rod model is applied to investigate the small-scale effect and the nonuniform effect on axial vibration of nanocones. Using the modified Wentzel-Brillouin-Kramers (WBK) method, an asymptotic solution is obtained for the axial vibration of general nonuniform nanorods. Then, using similar procedure, the axial vibration of nanocones is analyzed for nonuniform parameters, mode number and nonlocal parameters. Explicit expressions are derived for mode frequencies of clamped-clamped and clamped-free boundary conditions. It is found that axial vibration frequencies are highly overestimated by the classical rod model because of ignorance of the effect of small length scale.
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.
