Vibration and Stability Analysis of Composite Tube Conveying Fluid Flow Equipped with Piezoelectric Ring

Subject Areas : Mechanical Engineering

M Nazarzadeh Ansarodi ¹ , Hasan Biglari ² , Mohammadreza Saviz ³

1 - Mechanical Engineering Faculty, Tabriz University, Tabriz, Iran
2 - Mechanical Engineering Faculty, Tabriz University, Tabriz, Iran
3 - Mechanical Engineering Department, Azarbaijan Shahid Madani University, Tabriz, Iran

Received: 2023-06-05 Accepted : 2023-08-04 Published : 2023-09-01

Keywords: Composite Pipe, Piezoelectric ring, Instability, Differential quadrature method, Critical fluid velocity,

Abstract :

In this paper, dynamic behaviour of composite tube equipped with piezoelectric actuator ring and conveying fluid flow is studied. The effects of incompressible Newtonian internal fluid flow with constant velocity are considered. The stiffened composite shell with different boundary conditions is exposed to electro- mechanical loading. The governing equations of motion are obtained based on the classical shell theory and using Hamilton’s principle. Then, these equations are discretized by using differential quadrature (DQ) method in longitudinal direction and harmonic differential quadrature (HDQ) method in circumferential direction. Solving these equations results in eigenvalues and mode shapes of the smart pipe conveying fluid. After comparing results with those existing in the literature, the detailed parametric study is conducted, by concentrating on the effects of fluid flow properties, geometry, material and boundary conditions of composite pipe, temperature, and piezo-actuator ring (size and position) on the vibration behavior of the coupled system, as well as dimensionless critical fluid velocity. It is expected that stability of the coupled system strongly depends on the imposed electric load. The present study can be applied for optimum design of sensors and actuators in active control systems, MEMS and biomechanical applications.

References:

1. Faria A.R., Almeida S.F.M., 1998, Axisymmetric actuation of composite cylindrical thin shells with piezoelectric rings, Smart Material Structures 7: 843-850.


2. Zhang Y.L., Gorman D.G., Reese J. M., 2003, Vibration of prestressed thin cylindrical shells conveying fluid, Thin-Walled Structures 41: 1103-1127.


3. Civalek O., 2004, Application of differential quadrature (DQ) and harmonic differential quadrature (HDQ) for buckling analysis of thin isotropic plates and elastic columns, Engineering Structures 26: 171-186.


4. Reddy J.N., Wang C.M., 2004, Dynamics of Fluid Conveying Beams, Centre for Offshore Research and Engineering National University of Singapore.


5. Saviz M.R., Shakeri M., Yas M.H., 2009, Layer wise finite element analysis of laminated cylindrical shell with piezoelectric rings under dynamic load, Mechanics of Advanced Materials and Structures 16: 20-32.


6. Karagiozis K., Amabili M., Paidoussis M.P., 2010, Nonlinear dynamics of harmonically excited circular cylindrical shells containing fluid flow, Journal of Sound and Vibration 329: 3813-3834.


7. Bochkarev S.A., Matveenko V.P., 2011, Natural Vibrations and instability of shells of revolution interacting with an internal fluid flow, Journal of Sound and Vibration 330: 3084-3101.


8. Jannesari H., Emami M.D., Karimpour H., 2012, Investigating the effect of viscosity and nonlocal effects on the stability of SWCNT conveying flowing fluid using nonlinear shell model, Physics Letters A 376: 1137-1145.


9. Ke L.L., Wang Y.S., Reddy J.N., 2014, Thermo-electro-mechanical vibration of size-dependendt piezoelectric cylindrical nanoshells under various boundary conditions, Composite Structures 116: 626-636.


10. Maalawi K.Y., Abouel-fotouh A.M., EI Bayoumi M., Yehia Khaled Ahmad Ali, 2016, Design of composite pipes conveying fluid of improved stability characteristics, International Journal of Applied Engineering Research 11: 7633- 7639.


11. KhodamiMaraghi Z., GhorbanpourArani A., Kolahchi R., Amir S., Bagheri M.R., 2013, Nonlocal vibration and instability of embedded DWBNNT conveying viscose fluid, Composites: Part B 45: 423-432.


12. Raminnia M., Biglari H., VakiliTahami F., 2016, Nonlinear higher order Reddy theory for temperature dependent vibration and instability of embedded functionally graded pipes conveying fluid-nanoparticle mixture, Structural Engineering and Mechanics 59: 153-186.


13. Reddy J.N., 2004, Mechanics of laminated composite plates and shells, Theory and analysis, CRC Press.


14. GhorbanpourArani A., Kolahchi R., KhoddamiMaraghi Z., 2013, Nonlinear vibration and instability of embedded double-walled boron nitride nanotubes based on nonlocal cylindrical shell theory, Applied Mathematical Modelling 37: 7685-7707.


15. Shu C., Du H., 1997, Free vibration analysis of laminated composite cylindrical shell by DQM, Composite Technology Part B 28: 267-274.