Volume 20, Issue 2 (February 2020)                   Modares Mechanical Engineering 2020, 20(2): 437-448 | Back to browse issues page

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Jahangiri R, Allahverdizadeh A, Dadashzadeh B, Azimzadegh H. Effect of Viscoelastic-Hetenyi Foundation and Fluid Viscosity on Dynamic Behavior of Fluid Conveying Microtube under Flutter and Parametric Magnetic Resonance. Modares Mechanical Engineering 2020; 20 (2) :437-448
URL: http://mme.modares.ac.ir/article-15-28789-en.html
Effect of Viscoelastic-Hetenyi Foundation and Fluid Viscosity on Dynamic Behavior of Fluid Conveying Microtube under Flutter and Parametric Magnetic Resonance
R. Jahangiri * 1, A. Allahverdizadeh2 , B. Dadashzadeh2 , H. Azimzadegh3
1- Mechanical Engineering Department, Salmas Branch, Islamic Azad University, Salmas, Iran , r_jahangiri@tabrizu.ac.ir
2- Mechatronics Engineering Department, School of Engineering-Emerging Technologies, University of Tabriz, Tabriz, Iran
3- Mechanical Engineering Department, Salmas Branch, Islamic Azad University, Salmas, Iran
Abstract:   (2515 Views)

In this research, nonlinear transverse vibrations of a fluid conveying microtube under parametric magnetic axial resonance condition is studied. For this purpose, nonlinear governing equations of transverse motion of beam-like microtube are derived using Reddy’s first-order shear deformation theory with considering the effect of fluid viscosity and fluid centripetal acceleration. In this model, nonlinear terms of Hetenyi foundation and nonlinear geometric terms of the Von-Karman theory under magnetic excitations in the presence of fluid flow beyond the flutter instability is considered. In the following, the effects of foundation parameters on the linear flutter specifications of fluid conveying magnetizable microtubes are studied. Then, the nonlinear system behavior for fluid flow velocities more than critical velocity corresponding to the coupling of the first and second vibration modes is studied using multiple scales method. Nonlinear response curves in velocities above critical velocity are obtained and effects of variations of various system parameters including flow velocity, amplitude, and frequency of the magnetic field, Hetenyi foundation stiffness constants, viscosity, and dimensions ratio on the nonlinear response of the system are investigated. Some results indicate that increasing the values of shear stiffness parameter of the Hetenyi foundation has an unstable effect so that with its increasing, the flutter instability occurs at lower frequencies.
 

Keywords: Nonlinear Vibrations, Fluid Conveying Microtube, Viscoelastic-Hetenyi Foundation, Parametric Magnetic Resonance, Flutter
Full-Text [PDF 1488 kb]   (1605 Downloads)    
Article Type: Original Research | Subject: Vibration
Received: 2018/12/31 | Accepted: 2019/05/19 | Published: 2020/02/1
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