Nonlinear Vibration of Smart Micro-Tube Conveying Fluid Under Electro-Thermal Fields

Subject Areas : Engineering

A Ghorbanpour Arani ¹ , E Haghparast ² , S Amir ³

1 - Faculty of Mechanical Engineering, University of Kashan---- Institute of Nanoscience & Nanotechnology, University of Kashan
2 - Faculty of Mechanical Engineering, University of Kashan
3 - Faculty of Mechanical Engineering, University of Kashan

Received: 2011-11-02 Accepted : 2012-01-04 Published : 2012-03-30

Keywords: Nonlinear vibration, Smart structure, Nonlocal theory, Conveying fluid, Shell model,

Abstract :

In this study, electro-thermo-mechanical nonlinear vibration and instability of embedded piezoelectric micro-tube is carried out based on nonlocal theory and nonlinear Donnell's shell model. The smart micro-tube made of Poly-vinylidene fluoride (PVDF) is conveying an isentropic, incompressible fluid. The detailed parametric study is conducted, focusing on the remarkable effects of mean flow velocity, fluid viscosity, elastic medium modulus, temperature change, imposed electric potential, small scale and aspect ratio on the vibration behavior of the micro-tube. It has been found that stability of the system is strongly dependent on the imposed electric potential. Results of this investigation could be applied for optimum design of sensors and actuators in the sensitive applications.

References:

[1] Salehi-Khojin A., Jalili N., 2008, Buckling of boron nitride nanotube reinforced piezoelectric polymeric composites subject to combined electro-thermo-mechanical loadings, Composites Science and Technology 68(6):1489-1501.

[2] Ghorbanpour Arani A., Amir S., Shajari A.R., Mozdianfard M.R., Khoddami Maraghi Z., Mohammadimehr M.,2011, Electro-thermal non-local vibration analysis of embedded DWBNNTs, Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 226(5) :1410-1422.

[3] Ghorbanpour Arani A., Amir S., Shajari A.R., Mozdianfard M.R., 2012, Electro-thermo-mechanical buckling of DWBNNTs embedded in bundle of CNTs using nonlocal piezoelasticity cylindrical shell theory, Compos. Part B: Engineering 43(2):195-203.

[4] Ghorbanpour Arani A., Shokravi M., Amir S., Mozdianfard M.R., 2012, Nonlocal electro-thermal transverse vibration of embedded fluid-conveying DWBNNTs, Journal of Mechanical Science and Technology 26(5):1455-1462.

[5] Shu C., 1996, Free vibration analysis of composite laminated conical shells by generalized differential quadrature, Journal of Sound and Vibration 194(3): 587-604.

[6] Rahmani O., Khalili S.M.R., Malekzadeh K., 2009, Free vibration response of composite sandwich cylindrical shell with flexible core, Composite Structures 92(5):1269–1281.

[7] Amabili M., Pellicano F., Païdoussis M.P., 1999, Non-linear dynamics and stability of circular cylindrical shells containing flowing fluid. Part I: stability, Journal of Sound and Vibration 225(4): 655–699.

[8] Ghorbanpour Arani A., Shajari A.R., Amir S., Loghman A.,2013, Electro-thermo-mechanical nonlinear nonlocal vibration and instability of embedded micro-tube reinforced by BNNT conveying fluid, Physica E 45:424-432.

[9] Yang J., 2005, An Introduction to the Theory of Piezoelectricity, Springer, Lincoln, Ninth Edition.

[10] Eringen A.C., 1983, On differential equations of nonlocal elasticity and solutions of screw dislocation and surface waves, Journal of Applied Physics 54(9): 4703–4710.

[11] Amabili M., 2008, Nonlinear Vibrations and Stability of Shells and Plates, Cambridge University Press, Parma, First Edition.

[12] Ghorbanpour Arani A., Zarei M.S., Mohammadimehr M., Arefmanesh A., Mozdianfard M.R., 2011, The thermal effect on buckling analysis of a DWCNT embedded on the Pasternak foundation, Physica E 43(9): 1642–1648.

[13] Kurylov Ye., Amabili M., 2010, Polynomial versus trigonometric expansions for nonlinear vibrations of circular cylindrical shells with different boundary conditions, Journal of Sound and Vibration 329(9): 1435–1449.

[14] Alinia M.M., Ghannadpour S.A.M., 2009, Nonlinear analysis of pressure loaded FGM plates, Composite Structures 88(3): 354–359.

[15] Fox R.W., Pritchard P.J., McDonald A.T., 2008, Introduction to Fluid Mechanics, Wiley, New York, Forth Edition.

[16] Amabili M., Karagiozis K., Païdoussis M.P., 2009, Effect of geometric imperfections on non-linear stability of circular cylindrical shells conveying fluid, International Journal of Non-Linear Mechanics 44(3): 276 – 289.

[17] Yang J., Ke L.L., Kitipornchai S., 2010, Nonlinear free vibration of single-walled carbon nanotubes using nonlocal Timoshenko beam theory, Physica E 42(5): 1727–1735.

[18] Cheng Z.Q., Lim C.W., Kitipornchai S., 2000, Three-dimensional asymptotic approach to inhomogeneous and laminated piezoelectric plates, International Journal of Solids and Structures 37(23): 3153–3175.