Investigation of Nonlinear Thermo-Elastic Behavior of Fluid Conveying Piezoelectric Microtube Reinforced by Functionally Distributed Carbon Nanotubes on Viscoelastic-Hetenyi Foundation


  • Mehdi Azhdarzadeh Department of Mechanical Engineering, University of Alberta, Edmonton, AB, Canada
  • Reza Jahangiri Department of Mechanical Engineering, Azad University, Salmas Branch, Salmas, Iran
  • Akbar Allahverdizadeh Department of Mechatronics Engineering, University of Tabriz, Tabriz, Iran
  • Behnam Dadashzadeh Department of Mechatronics Engineering, University of Tabriz, Tabriz, Iran
  • Ramin Nabati Department of Mechanical Engineering, Azad University, Salmas Branch, Salmas, Iran



Microtube, Piezoelectric, Reinforced, Viscoelastic Foundation


In this paper, nonlinear and nonlocal thermo-elastic behavior of a microtube reinforced by Functionally Distributed Carbon Nanotubes, with internal and external piezoelectric layers, in the presence of nonlinear viscoelastic-Hetenyi foundation, and axial fluid flow inside the microtube is studied. Nonlinear partial differential equations governing the system are derived using Reddy’s third-order shear deformations theory along with the Von-Karman theory including the effect of fluid viscosity. Then, the equations are converted to time-dependent ordinary nonlinear equations using the Galerkin method. Afterward, the governing equations of the microtube’s lateral displacements are solved using the multiple scales method. The analysis of the piezoelectric’s parametric resonance is performed by obtaining trivial and nontrivial stationary solutions and plotting characteristic curves of the frequency response and voltage response. At the end, the effect of different parameters including the flow velocity, excitation voltage, parameters of the foundation, viscosity parameter, thermal loading and nanotubes’ volume fraction index on the nonlinear behavior of the system, under parametric resonance condition, is investigated.


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Author Biographies

Mehdi Azhdarzadeh, Department of Mechanical Engineering, University of Alberta, Edmonton, AB, Canada

Mehdi Azhdarzadeh received his PhD in Mechanical Engineering from the University of Alberta, Canada. His research interests are aerosol and particle engineering, water treatment, robotics, controls, and mechanical modeling.

Reza Jahangiri, Department of Mechanical Engineering, Azad University, Salmas Branch, Salmas, Iran

Reza Jahangiri received his BSc, MSc, and PhD degree in mechanical engineering from the Urmia, Sharif University of Technology, and the University of Tabriz, respectively, Iran. After getting his PhD, he joined the faculty of engineering of Azad University, IRAN, where he is an assistant professor in the Mechanical Engineering Department. His current research interests are in the areas of fluid-induced nonlinear and chaotic magneto-piezo-aero-thermo_elastic behavior of the Beams/Plates/Shells using elasticity theories. Also, he is working in the field of nonlinear robust/fuzzy control and nano/microfluidic.

Akbar Allahverdizadeh, Department of Mechatronics Engineering, University of Tabriz, Tabriz, Iran

Akbar Allahverdizadeh teaches in the Department of Mechatronics Engineering at the University of Tabriz, Iran. He received his Bachelor’s degree in Mechanical Engineering from the Isfahan University of Technology, Iran in 2000 and his Master’s and Doctoral degrees in Mechanical Engineering from the University of Tehran, Iran in 2006 and 2013. His research interests are in the areas of mechatronics, biomechanics, and vibration control.

Behnam Dadashzadeh, Department of Mechatronics Engineering, University of Tabriz, Tabriz, Iran

Behnam Dadashzadeh is an assistant professor of mechatronics engineering at the University of Tabriz since 2013. He received his BSc from the University of Tabriz in 2005 and his MSc and PhD from the University of Tehran in 2007 and 2013, all in Mechanical Engineering. His research interests include dynamics and control of biped robots running and walking, mechatronic systems, mobile robots, and musculoskeletal biomechanics. He has international research experiences at the University of Calgary working on event-based control of bipedal running in 2012, at the Oregon State University working on modeling and control of ATRIAS in 2013, and at École Nationale d’ingénieurs de Tarbes working on actuation systems for robotic hands.

Ramin Nabati, Department of Mechanical Engineering, Azad University, Salmas Branch, Salmas, Iran

Ramin Nabati received his MSc in mechanical engineering from Azad University. His research interest is microfluidic.


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Original Article