Modelling the dynamics of a nanocapillary system with a moving mass using the non-local strain gradient theory
Küçük Resim Yok
Tarih
2020
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Wiley
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In this study, the dynamic behaviour of a Timoshenko nanobeam (a nanocapillary system) exposed to a moving mass is modelled by using the non-local strain gradient theory. Equations of motion of the Timoshenko nanobeam exposed to the moving mass are obtained by considering the strain gradient elasticity effect that provides toughening and the non-local elasticity effects that provide softening. These equations are converted to the weak form finite element equation by applying the full shape functions of the two-node Timoshenko beam element together with the Galerkin's method. The effects of the amount of different non-local parameters and the mass ratio and velocity of the moving mass on the dynamics of the nanobeam are presented. The frequency change of the nanotube due to the interaction with the moving mass is highlighted, and it has been shown that when the effect of the mass considered, the fundamental frequency has dropped about 55% when the mass ratio of the moving mass and the beam is 0.5. Moreover, the amount of the velocity and the mass of the moving load change the dynamic response of the tube.
Açıklama
Anahtar Kelimeler
FEM, moving mass, Nano capillary system, non-local effects, Timoshenko beam
Kaynak
Mathematical Methods in the Applied Sciences
WoS Q Değeri
Q1
Scopus Q Değeri
Q1
