Flow-Induced Instability Smart Control of Elastically Coupled Double-Nanotube-Systems

Subject Areas : Engineering

V Atabakhshian ¹ , A Ghorbanpour Arani ² , A.R Shajari ³ , S Amir ⁴

1 - Department of Mechanical Engineering, Faculty of Engineering, Bu-Ali Sina University
2 - Faculty of Mechanical Engineering, University of Kashan--- Institute of Nanoscience & Nanotechnology, University of Kashan
3 - Faculty of Mechanical Engineering, University of Kashan
4 - Faculty of Mechanical Engineering, University of Kashan

Received: 2013-01-13 Accepted : 2013-02-28 Published : 2013-03-30

Keywords: Double-nanotube system, Instability smart control, Pasternak media, Conveying nano-fluid,

Abstract :

Flow induced vibration and smart control of elastically coupled double-nanotube-systems (CDNTSs) are investigated based on Eringen’s nonlocal elasticity theory and Euler-Bernoulli beam model. The CDNTS is considered to be composed of Carbon Nanotube (CNT) and Boron-Nitride Nanotube (BNNT) which are attached by Pasternak media. The BNNT is subjected to an applied voltage in the axial direction which actuates on instability control of CNT conveying nano-fluid. Polynomial modal expansions are employed for displacement components and electric potential and discretized governing equations of motion are derived by minimizing total energies of the CDNTS with respect to time-dependent variables of the modal expansions. The state-space matrix is implemented to solve the eigen-value problem of motion equations and examine frequencies of the CDNTS. It is found that Pasternak media and applied voltage have considerable effects on the vibration behavior and stability of the system. Also, it is found that trend of figures have good agreement with the other studies. The results of this study can be used for design of CDNTS in nano / Micro -electro-mechanical systems.

References:

[1] Vaccarini L., Goze C., Henrard L., Herna´ndez E., Bernier P., Rubio A., 2000, Mechanical and electronic properties of carbon and boron–nitride nanotubes, Carbon 38: 1681–1690.

[2] Lahiri D., Rouzaud F., Richard T., Keshri A.K., Bakshi S.R., Kos L., Agarwal A., 2010, Boron nitride nanotube reinforced polylactide–polycaprolactone copolymer composite: Mechanical properties and cytocompatibility with osteoblasts and macrophages in vitro, Acta Biomaterialia 6: 3524-3533.

[3] Ghorbanpour Arani A., Shajari A.R., Atabakhshian V., Amir S., Loghman A., 2013, Nonlinear dynamical response of embedded fluid-conveyed micro-tube reinforced by BNNTs, Composites Part B 44: 424–432.

[4] Ghorbanpour Arani A., Shajari A.R., Amir S., Loghman A., 2012, Electro-thermo-mechanical nonlinear nonlocal vibration and instability of embedded micro-tube reinforced by BNNT, conveying fluid, Physica E 45: 109-121.

[5] 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: 1489-1501.

[6] Ghorbanpour Arani A., Atabakhshian V., Loghman A., Shajari A.R., Amir S., 2012, Nonlinear vibration of embedded SWBNNTs based on nonlocal Timoshenko beam theory using DQ method, Physica B 407: 2549-2555.

[7] Kuang Y.D., He X.Q., Chen C.Y., Li G.Q., 2009, Analysis of nonlinear vibrations of double-walled carbon nanotubes conveying fluid, Computation Materials Science 45: 875-880.

[8] Fu Y.M., Hong J.W., Wang X.Q., 2006, Analysis of nonlinear vibration for embedded carbon nanotubes, Journal of Sound and Vibration 296: 746-756.

[9] Narasimhan M.N.L., 2010, On the flow of an electrically conducting nonlocal viscous fluid in a circular pipe in the presence of a transverse magnetic field in magneto hydro dynamics, International Journal of Fluid Mechanics Research 37 (2): 190-199.

[10] Vu H.V., Ordonez A.M., Karnopp B.H., 2000, Vibration of a double-beam system, Journal of Sound and Vibration 229 (4): 807-822.

[11] Lin Q., Rosenberg J., Chang D., Camacho R., Eichenfield M., Vahala K.J., Painter O., 2010, Coherent mixing of mechanical excitations in nano-opto-mechanicalstructures, Nature Photonics 4: 236-242.

[12] Murmu T., Adhikari S., 2010, Nonlocal effects in the longitudinal vibration of double-nanorod systems, Physica E 43: 415-422.

[13] Ke L.L., Wang Y.Sh., Wang Zh.D., 2012, Nonlinear vibration of the piezoelectric nanobeams based on the nonlocal theory, Composite Structures 94: 2038-2047.

[14] Han J.H., Lee I., 1998, Analysis of composite plates with piezoelectric actuators for vibration control using layerwise displacement theory, Composites Part B 29: 621-632.

[15] Reddy J.N., 2004, Wang C.M., Dynamics of Fluid Conveying Beams: Governing Equations and Finite Element Models, Centre for offshore research and engineering national university of singapore.

[16] Rashidi V., Mirdamadi H.R., Shirani E., 2012, A novel model for vibrations of nanotubes conveying nanoflow, Computation Materials Science 51: 347-352.

[17] Shokouhmand H., Isfahani A.H.M., Shirani E., 2010, Friction and heat transfer coefficient in micro and nano channels filled with porous media for wide range of Knudsen number, International Communications in Heat and Mass Transfer 37: 890-894.

[18] Ke L.L., Yang J., Kitipornchai S., 2010, Nonlinear free vibration of functionally gradedcarbon nanotube-reinforced composite beams, Composite Structures 92: 676-683.

[19] Nirmala V., Kolandaivel P., 2007, Structure and electronic properties of armchair boron nitride nanotubes, Journal of Molecular Structure: Theochem 817: 137-145.

[20] Yang, J. Ke L.L., Kitipornchai S., 2010, Nonlinear free vibration of single-walled carbonnanotubes using nonlocal Timoshenko beam theory, Physica E 42: 1727-1735.

[21] Kaviani F., Mirdamadi H.R., 2012, Influence of Knudsen number on fluid viscosity for analysis of divergencein fluid conveying nano-tubes, Computation Materials Science 61: 270-277.