Longitudinal vibration of double nanorod systems using doublet mechanics theory
Küçük Resim Yok
Tarih
2020
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Techno-Press
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
This paper investigates the free and forced longitudinal vibration of a double nanorod system using doublet mechanics theory. The doublet mechanics theory is a multiscale theory spanning between lattice dynamics and continuum mechanics. Equations of motion and boundary conditions for the double nanorod system are obtained using Hamilton's principle. Clamped-clamped and clamped-free boundary conditions are considered. Frequencies and dynamic displacements are determined to demonstrate the effects of length scale parameter of considered material and geometry of the nanorods. It is shown that frequencies obtained by the doublet mechanics theory are bounded from above (van Hove singularity) and unlike classical elasticity theory doublet mechanics theory predicts finite number of modes depending on the length of the nanotube. The present doublet mechanics results have been compared to molecular dynamics, experimental and nonlocal theory results and good agreement is observed between the present and other mentioned results. The difference between wave frequencies of graphite is less than 10% between doublet mechanics and experimental results near to the end of the first Brillouin zone.
Açıklama
Anahtar Kelimeler
Double Nanorod System, Doublet Mechanics, Free Vibration, Forced Vibration, Walled Carbon Nanotubes, Nonlocal Elasticity, Wave-Propagation, Surface, Instabilities, Stability, Equations, Nanoflow
Kaynak
Structural Engineering And Mechanics
WoS Q Değeri
Q2
Scopus Q Değeri
Q2
Cilt
73
Sayı
1
