Wave Propagation Analysis of CNT Reinforced Composite Micro-Tube Conveying Viscose Fluid in Visco-Pasternak Foundation Under 2D Multi-Physical Fields
محورهای موضوعی : EngineeringA. H Ghorbanpour Arani 1 , M.M Aghdam 2 , M.J Saeedian 3
1 - Faculty of Mechanical Engineering, Amirkabir University of Technology, Hafez Avenue, Tehran, Iran
2 - Faculty of Mechanical Engineering, Amirkabir University of Technology, Hafez Avenue, Tehran, Iran
3 - Faculty of Mechanical Engineering, University of Kashan, Kashan, Iran
کلید واژه: magnetic field, Beams, Piezoelectricity, Waves, Fibre reinforced composites, Fluid dynamics,
چکیده مقاله :
In this research, wave propagation analysis in polymeric smart nanocomposite micro-tubes reinforced by single-walled carbon nanotubes (SWCNT) conveying fluid is studied. The surrounded elastic medium is simulated by visco-Pasternak model while the composite micro-tube undergoes electro-magneto-mechanical fields. By means of micromechanics method, the constitutive structural coefficients of nanocomposite are obtained. The fluid flow is assumed to be incompressible, viscous and irrotational and the dynamic modelling of fluid flow and fluid viscosity are calculated using Navier-Stokes equation. Micro-tube is simulated by Euler-Bernoulli and Timoshenko beam models. Based on energy method and the Hamilton’s principle, the equation of motion are derived and modified couple stress theory is utilized to consider the small scale effect. Results indicate the influences of various parameters such as the small scale, elastic medium, 2D magnetic field, velocity and viscosity of fluid and volume fraction of carbon nanotube (CNT). The result of this study can be useful in micro structure and construction industries.
[1] Masuelli M.A., 2013, Fiber Reinforced Polymers,The Technology Applied for Concrete Repair, Argentina.
[2] Dong K., Zhu S.Q., Wang, X., 2006, Wave propagation in multiwall carbon nanotubes embedded in a matrix material, Composite Structures 43(1): 194-202.
[3] Wang Q., Zhou G.Y., Lin K.C., 2006, Scale effect on wave propagation of double-walled carbon nanotubes, International Journal of Solids and Structures 43(20): 6071-6084.
[4] Abdollahian M., Ghorbanpour Arani A., Mosallaie Barzoki A.A., Kolahchi R., Loghman A., 2013, Non-local wave propagation in embedded armchair TWBNNTs conveying viscous fluid using DQM, Physica B 418: 1-15.
[5] Kaviani F., Mirdamadi H.Z., 2013, Wave propagation analysis of carbon nano-tube conveying fluid including slip boundary condition and strain/inertial gradient theory, Computers and Structures 116: 75-87.
[6] Ghorbanpour Arani A., Kolahchi R., Vossough H., 2012, Nonlocal wave propagation in an embedded DWBNNT conveying fluid via strain gradient theory, Physica B 407(21): 4281-4286.
[7] Narendar S., Gupta S.S., Gopalakrishnan S., 2012, Wave propagation in single-walled carbon nanotube under longitudinal magnetic field using nonlocal Euler–Bernoulli beam theory, Applied Mathematical Modelling 36(9): 4529-4538.
[8] Ghorbanpour Arani A., Kolahchi R., Mortazavi S.A., 2014, Nonlocal piezoelasticity based wave propagation of bonded double-piezoelectric nanobeam-systems, International Journal of Mechanics and Materials 10(2): 179-191.
[9] Reddy J.N., Arbind A., 2012, Bending relationships between the modified couple stress-based functionally graded Timoshenko beams and homogeneous Bernoulli–Euler beams, Annals of Solid and Structural Mechanics 3(1-2):15-26.
[10] Mosallaie Barzoki A.A., Ghorbanpour Arani A., Kolahchi R., Mozdianfard M.R., Loghman A., 2013, Nonlinear buckling response of embedded piezoelectric cylindrical shell reinforced with BNNT under electro–thermo-mechanical loadings using HDQM, Composites Part B: Engineering 44(1): 722-727.
[11] Tan P., Tong L., 2001, Micro-electromechanics models for piezoelectric-fiber-reinforced composite materials, Composites Science and Technology 61(5): 759-769.
[12] Kuang Y.D., He X.Q., Chen C.Y., Li G.Q., 2009, Analysis of nonlinear vibrations of double walled carbon nanotubes conveying fluid, Computational Materials Science 45(4): 875-580.
[13] Reddy J.N., 2002, Energy Principles and Variational Methods in Applied Mechanics, John Wiley, New York.
[14] Acheson D.J., 1990, Elementary Fluid Dynamics, Oxford Applied Mathematics and Computing Science Series, Oxford University Press.
[15] Fox R.W., McDonald A.T., Pritchard P.J., 2004, Introduction to Fluid Mechanics, Elsevier Ltd.
[16] Paidoussis, M.P., 1998, Fluid-Structure Interactions, Academic Press, California, USA.
[17] Karniadakis G., Eskok A.B., Aluru N., 2005, Microflows and Nanoflows: Fundamentals and Simulation, Springer.
[18] Mirramezani M., Mirdamadi H.R., 2012, The effects of Knudsen-dependent flow velocity on vibrations of a nano-pipe conveying fluid, Archive of Applied Mechanics 82(7): 879-890.
[19] Ghorbanpour Arani A., Amir S., 2013, Electro-thermal vibration of visco-elastically coupled BNNT systems conveying fluid embedded on elastic foundation via strain gradient theory, Physica B 419: 1-6.
[20] Kraus J., 1984, Electromagnetics, McGrawHill, USA.
[21] 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.
[22] Zhang X.M., 2002, Parametric studies of coupled vibration of cylindrical pipes conveying fluid with the wave propagation approach, Composite Structures 80(3-4): 287-295.
[23] Wang L., 2010, Wave propagation of fluid-conveying single-walled carbon nanotubes via gradient elasticity theory, Computational Materials Science 49(4): 761-766.
