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- Title
Nonlocal-Strain-Gradient-Based Anisotropic Elastic Shell Model for Vibrational Analysis of Single-Walled Carbon Nanotubes.
- Authors
Strozzi, Matteo; Elishakoff, Isaac E.; Bochicchio, Michele; Cocconcelli, Marco; Rubini, Riccardo; Radi, Enrico
- Abstract
In this study, a new anisotropic elastic shell model with a nonlocal strain gradient is developed to investigate the vibrations of simply supported single-walled carbon nanotubes (SWCNTs). The Sanders–Koiter shell theory is used to obtain strain–displacement relationships. Eringen's nonlocal elasticity and Mindlin's strain gradient theories are adopted to derive the constitutive equations, where the anisotropic elasticity constants are expressed via Chang's molecular mechanics model. An analytical method is used to solve the equations of motion and to obtain the natural frequencies of SWCNTs. First, the anisotropic elastic shell model without size effects is validated through comparison with the results of molecular dynamics simulations reported in the literature. Then, the effects of the nonlocal and material parameters on the natural frequencies of SWCNTs with different geometries and wavenumbers are analyzed. From the numerical simulations, it is confirmed that the natural frequencies decrease as the nonlocal parameter increases, while they increase as the material parameter increases. As new results, the reduction in natural frequencies with increasing SWCNT radius and the increase in natural frequencies with increasing wavenumber are both amplified as the material parameter increases, while they are both attenuated as the nonlocal parameter increases.
- Subjects
ELASTIC plates &; shells; STRAINS &; stresses (Mechanics); EQUATIONS of motion; MOLECULAR dynamics; CARBON nanotubes; CARBON analysis; DOUBLE walled carbon nanotubes
- Publication
C, 2024, Vol 10, Issue 1, p24
- ISSN
2311-5629
- Publication type
Article
- DOI
10.3390/c10010024