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Computers and Concrete
  Volume 19, Number 3, March 2017 , pages 325-331
DOI: https://doi.org/10.12989/cac.2017.19.3.325
 


Mathematical modeling of concrete pipes reinforced with CNTs conveying fluid for vibration and stability analyses
Alireza Zamani Nouri

 
Abstract
    In this study, vibration and stability of concrete pipes reinforced with carbon nanotubes (CNTs) conveying fluid are presented. Due to the existence of CNTs, the structure is subjected to magnetic field. The radial fore induced with fluid is calculated using Navier-Stokes equations. Characteristics of the equivalent composite are determined using Mori-Tanaka model. The concrete pipe is simulated with classical cylindrical shell model. Employing energy method and Hamilton\'s principal, the motion equations are derived. Frequency and critical fluid velocity of structure are obtained analytically based on Navier method for simply supported boundary conditions at both ends of the pipe. The effects of fluid, volume percent of CNTs, magnetic field and geometrical parameters are shown on the frequency and critical fluid velocity of system. Results show that with increasing volume percent of CNTs, the frequency and critical fluid velocity of concrete pipe are increased.
 
Key Words
    concrete pipe; fluid; modeling; critical fluid velocity; vibration
 
Address
Alireza Zamani Nouri: Department of Civil Engineering, college of Engineering, Saveh Branch, Islamic Azad University, Saveh, Iran
 

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