Abstract
This paper investigates the axial vibration of single-walled carbon nanotubes based on doublet mechanics with a length scale parameter. A forth-order partial differential equation that governs the axial vibration mode of single-walled carbon nanotubes is derived. Using doublet mechanics, the relation between natural frequency and length scale parameter is derived in the axial mode of vibration. It is shown that length scale parameter plays significant roles in the axial vibration behavior of single-walled carbon nanotubes. Such effect decreases the natural frequency compared to the predictions of the classical continuum mechanics models. However, with increasing tube length, the scale effect on the natural frequency decreases.
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.
