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Open AccessFeature PaperArticle

A Shell Model for Free Vibration Analysis of Carbon Nanoscroll

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Department of Mechanical Engineering, Sharif University of Technology, 11365-11155 Tehran, Iran
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Center of Excellence in Design, Robotics and Automation (CEDRA), Sharif University of Technology, 11365-9567 Tehran, Iran
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Laboratory of Bio-Inspired and Graphene Nanomechanics, Department of Civil, Environmental and Mechanical Engineering, University of Trento, 38123 Trento, Italy
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School of Engineering and Materials Science, Queen Mary University of London, Mile End Road, London E1 4NS, UK
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Ket-Lab, Italian Space Agency, Via del Politecnico s.n.c., 00133 Rome, Italy
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Author to whom correspondence should be addressed.
Academic Editor: Klara Hernadi
Materials 2017, 10(4), 387; https://doi.org/10.3390/ma10040387
Received: 18 February 2017 / Revised: 30 March 2017 / Accepted: 1 April 2017 / Published: 6 April 2017
Carbon nanoscroll (CNS) is a graphene sheet rolled into a spiral structure with great potential for different applications in nanotechnology. In this paper, an equivalent open shell model is presented to study the vibration behavior of a CNS with arbitrary boundary conditions. The equivalent parameters used for modeling the carbon nanotubes are implemented to simulate the CNS. The interactions between the layers of CNS due to van der Waals forces are included in the model. The uniformly distributed translational and torsional springs along the boundaries are considered to achieve a unified solution for different boundary conditions. To study the vibration characteristics of CNS, total energy including strain energy, kinetic energy, and van der Waals energy are minimized using the Rayleigh-Ritz technique. The first-order shear deformation theory has been utilized to model the shell. Chebyshev polynomials of first kind are used to obtain the eigenvalue matrices. The natural frequencies and corresponding mode shapes of CNS in different boundary conditions are evaluated. The effect of electric field in axial direction on the natural frequencies and mode shapes of CNS is investigated. The results indicate that, as the electric field increases, the natural frequencies decrease. View Full-Text
Keywords: carbon nanoscroll; shell modeling; natural frequency; arbitrary boundary condition; van der Walls interactions carbon nanoscroll; shell modeling; natural frequency; arbitrary boundary condition; van der Walls interactions
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MDPI and ACS Style

Taraghi Osguei, A.; Ahmadian, M.T.; Asghari, M.; Pugno, N.M. A Shell Model for Free Vibration Analysis of Carbon Nanoscroll. Materials 2017, 10, 387.

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