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Nonlinear Resonance Interaction between Conjugate Circumferential Flexural Modes in Single-Walled Carbon Nanotubes
Joint Authors
Strozzi, Matteo
Pellicano, Francesco
Source
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-33, 33 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-04-24
Country of Publication
Egypt
No. of Pages
33
Main Subjects
Abstract EN
This paper presents an investigation on the dynamical properties of single-walled carbon nanotubes (SWCNTs), and nonlinear modal interaction and energy exchange are analysed in detail.
Resonance interactions between two conjugate circumferential flexural modes (CFMs) are investigated.
The nanotubes are analysed through a continuous shell model, and a thin shell theory is used to model the dynamics of the system; free-free boundary conditions are considered.
The Rayleigh–Ritz method is applied to approximate linear eigenfunctions of the partial differential equations that govern the shell dynamics.
An energy approach, based on Lagrange equations and series expansion of the displacements, is considered to reduce the initial partial differential equations to a set of nonlinear ordinary differential equations of motion.
The model is validated in linear field (natural frequencies) by means of comparisons with literature.
A convergence analysis is carried out in order to obtain the smallest modal expansion able to simulate the nonlinear regimes.
The time evolution of the nonlinear energy distribution over the SWCNT surface is studied.
The nonlinear dynamics of the system is analysed by means of phase portraits.
The resonance interaction and energy transfer between the conjugate CFMs are investigated.
A travelling wave moving along the circumferential direction of the SWCNT is observed.
American Psychological Association (APA)
Strozzi, Matteo& Pellicano, Francesco. 2019. Nonlinear Resonance Interaction between Conjugate Circumferential Flexural Modes in Single-Walled Carbon Nanotubes. Shock and Vibration،Vol. 2019, no. 2019, pp.1-33.
https://search.emarefa.net/detail/BIM-1211138
Modern Language Association (MLA)
Strozzi, Matteo& Pellicano, Francesco. Nonlinear Resonance Interaction between Conjugate Circumferential Flexural Modes in Single-Walled Carbon Nanotubes. Shock and Vibration No. 2019 (2019), pp.1-33.
https://search.emarefa.net/detail/BIM-1211138
American Medical Association (AMA)
Strozzi, Matteo& Pellicano, Francesco. Nonlinear Resonance Interaction between Conjugate Circumferential Flexural Modes in Single-Walled Carbon Nanotubes. Shock and Vibration. 2019. Vol. 2019, no. 2019, pp.1-33.
https://search.emarefa.net/detail/BIM-1211138
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1211138