Research advances state-of the-art vibration analysis of carbon nanotube

August 20, 2018 by Erin Cassidy Hendrick, Pennsylvania State University
Depiction of eight carbon allotropes. (a) diamond; (b) graphite; (c) lonsdaleite; (d-f) fullerenes: C60 (Buckminsterfullerene), C540, C70; (g) amorphous carbon; (h) single-walled carbon nanotube (SWNT). Credit: Wikimedia. Created by Michael Ströck (mstroeck). CC BY-SA 3.0

Research by Robert Hudson, a doctoral student in mechanical engineering, and Alok Sinha, professor of mechanical engineering, conducted in the Penn State Department of Mechanical and Nuclear Engineering, has resulted in computationally efficient methods to predict the vibratory behavior of carbon nanotubes with inevitable defects.

Their paper has been published in Proceedings of the Royal Society A: Mathematical, Physical, and Engineering Sciences and the American Chemical Society journal Carbon.

Carbon nanotubes are being used to develop multifunctional composites. They belong to the class of . A unique aspect of this periodicity is that it can lead to wave localization because of infinitesimally small amount disorder or defect, which are inevitable. According to Sinha, their techniques provide fundamental tools to study wave localization in carbon nanotubes, which can have significant impact on the mechanical and electrical properties of nanocomposites.

One of the goals of this research is to unify works and concepts developed in periodic structures and inevitable disorder in many different areas of physical, life and engineering sciences.

"I have worked extensively on localization of vibration in gas turbine blades," said Sinha. "I am happy to see that these concepts are useful for carbon nanotubes also."

Explore further: Making carbon nanotubes as usable as common plastics

More information: Robert B. Hudson et al. Vibration of carbon nanotubes with defects: order reduction methods, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Science (2018). DOI: 10.1098/rspa.2017.0555

Robert B. Hudson et al. An order reduction method for single-walled carbon nanotubes with multi-vacancy defects, Carbon (2018). DOI: 10.1016/j.carbon.2018.05.037

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