TY - EJOU
AU - Ibrahim, Ola Adil
AU - Widjaja, Gunawan
AU - Alattabi, Abdulhussien N.
AU - Singh, Krishanveer
AU - Mustafa, Yasser Fakri
AU - Krovopuskov, P. A.
AU - Kadhim, Mustafa M.
TI - On the Dynamics of a Viscoelastic Fluid-Conveying Nanotube
T2 - Fluid Dynamics \& Materials Processing
PY - 2022
VL - 18
IS - 4
SN - 1555-2578
AB - The objective of the presented study is to perform a vibration analysis and investigate the stability of a viscoelastic-fluid conveying pipe with an intermediate support. The mathematical model is elaborated in the framework of the Euler-Bernoulli beam theory in combination with the Kelvin-Voight viscoelastic approach. The resulting differential equation of motion and the related boundary conditions and compatibility conditions in the mid-span support are solved analytically using a power series method. The results show that an intermediate support located at ξ_{s} = 0.1 and ξ_{s} = 0.5 increases the critical velocity up to 35% and 50.15%, respectively. Also, the non-dimensional critical velocity for an intermediate support at ξ_{s} = 0.1 is 4.83.
KW - Fluid conveying carbon nanotube; viscoelastic; structural damping; natural frequencies; analytical method
DO - 10.32604/fdmp.2022.019921