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http://dx.doi.org/10.12989/scs.2015.19.3.713

Viscous fluid induced vibration and instability of FG-CNT-reinforced cylindrical shells integrated with piezoelectric layers  

Bidgoli, Mahmood Rabani (Faculty of Civil Engineering, Semnan University)
Karimi, Mohammad Saeed (Faculty of Civil Engineering, Semnan University)
Arani, Ali Ghorbanpour (Faculty of Mechanical Engineering, University of Kashan)
Publication Information
Steel and Composite Structures / v.19, no.3, 2015 , pp. 713-733 More about this Journal
Abstract
In this paper, viscous fluid induced nonlinear free vibration and instability analysis of a functionally graded carbon nanotube-reinforced composite (CNTRC) cylindrical shell integrated with two uniformly distributed piezoelectric layers on the top and bottom surfaces of the cylindrical shell are presented. Single-walled carbon nanotubes (SWCNTs) are selected as reinforcement and effective material properties of FG-CNTRC cylindrical shell are assumed to be graded through the thickness direction and are estimated through the rule of mixture. The elastic foundation is modeled by temperature-dependent orthotropic Pasternak medium. Considering coupling of mechanical and electrical fields, Mindlin shell theory and Hamilton's principle, the motion equations are derived. Nonlinear frequency and critical fluid velocity of sandwich structure are calculated based on differential quadrature method (DQM). The effects of different parameters such as distribution type of SWCNTs, volume fractions of SWCNTs, elastic medium and temperature gradient are discussed on the vibration and instability behavior of the sandwich structure. Results indicate that considering elastic foundation increases frequency and critical fluid velocity of system.
Keywords
nonlinear vibration; viscous fluid; FG-CNTRC; piezoelectric layers; DQM;
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Times Cited By KSCI : 4  (Citation Analysis)
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1 Benrahou, W.T.K.H., Houari, M.S.A. and Tounsi, A. (2015), "Thermal buckling analysis of FG plates resting on elastic foundation based on an efficient and simple trigonometric shear deformation theory", Steel Compos. Struct., Int. J., 18(2), 443-465.   DOI
2 Cao, L., Mantell, S. and Polla, D. (2001), "Design and simulation of an implantable medical drug delivery system using microelectromechanical systems technology", Sens. Act. A, 94(1-2), 117-125.   DOI
3 Chee, C.Y.K., Tong, L. and Steve, G.P. (1998), "A review on the modeling of piezoelectric sensors and actuators incorporated in intelligent structures", J. Intel. Mat. Sys. Struct., 9(1), 3-19.   DOI
4 Chen, X., Fox, C.H.J. and McWilliam, S. (2004), "Optimization of a cantilever microswitch with piezoelectric actuation", J. Intel. Mat. Sys. Struct., 15(11), 823-834.   DOI
5 Chen, W.Q., Jin, P.J. and Kang, Y.L. (2006), "Static and dynamic behavior of simply-supported cross-ply laminated piezoelectric cylindrical panels with imperfect bonding", Compos. Struct., 74(3), 265-276.   DOI
6 Clark, R.L. and Fuller, C.R. (1991), "Active control of structurally radiated sound from an enclosed finite cylinder", Proceedings of the Conference on Recent Advances in Active Control of Sound and Vibration, Virginia Polytechnic Institute and State University, Blacksburg, VA, USA, July.
7 Esawi, A.M.K. and Farag, M.M. (2007), "Carbon nanotube reinforced composites: potential and current challenges", Mat. Des., 28(9), 2394-2401.   DOI
8 Dong, S., Du, X., Bouchilloux, P. and Uchino, K. (2002), "Piezoelectric ring-morph actuation for valve application", J. Electrocer., 8(2), 155-161.   DOI
9 D'Ottavio, M., Ballhause, D., Kroplin, B. and Carrera, E. (2006), "Closed-form solutions for the free-vibration problem of multilayered piezoelectric shells", Comput. Struct., 84(22-23), 1506-1518.   DOI
10 Ghorbanpour Arani, A., Vossough, H., Kolahchi, R. and Mosallaie Barzoki, A.A. (2012), "Electro-thermo nonlocal nonlinear vibration in an embedded polymeric piezoelectric micro plate reinforced by DWBNNTs using DQM", J. Mech. Sci. Tech., 26(10), 3047-3057.   DOI
11 Ghorbanpour Arani, A., Kolahchi, R. and Khoddami Maraghi, Z. (2013), "Nonlinear vibration and instability of embedded double-walled boron nitride nanotubes based on nonlocal cylindrical shell theory", Appl. Math. Model., 37(14-15), 7685-7707.   DOI
12 Ghorbanpour Arani, A., Abdollahian, M. and Kolahchi, R. (2015), "Nonlinear vibration of embedded smart composite microtube conveying fluid based on modified couple stress theory", Polym. Compos., 36(7), 1314-1324. DOI: 10.1002/pc.23036.   DOI
13 Kutlu, A. and Omurtag, M.H. (2012), "Large deflection bending analysis of elliptic plates on orthotropic elastic foundation with mixed finite element method", Int. J. Mech. Sci., 65(1), 64-74.   DOI
14 Lester, H.C. and Lefebvre, S. (1991), "Piezoelectric actuator models for active sound and vibration control of cylinders", Proceedings of the Conferenceon Recent Advances in Active Control of Sound and Vibration, Virginia Polytechnic Institute and State University, Blacksburg, VA, USA, July.
15 Moon, K., Seok, H. and Moonsan, J. (2009), "Dynamic modeling and active vibration controller design for a cylindrical shell equipped with piezoelectric sensors and actuators", J. Sound Vib., 321(3-5), 510-524.   DOI
16 Li, H., Lin, Q., Liu, Z. and Wang, C. (2001), "Free vibration of piezoelastic laminated cylindrical shells under hydrostatic pressure", Int. J. Solids Struct., 38(42-43), 7571-7585.   DOI
17 Lin, S. (2004), "Study on the equivalent circuit and coupled vibration for the longitudinally polarized piezoelectric ceramic hollow cylinders", J. Sound Vib., 275(3-5), 859-875.   DOI
18 Lu, P., Lee, K.H., Lin, W.Z. and Lim, S.P. (2001), "An approximate frequency formula for piezoelectric circular cylindrical shells", J. Sound Vib., 242(2), 309-320.   DOI
19 Najafov, A.M., Sofiyev, A.H., Hui, D., Karaca, Z., Kalpakci, V. and Ozcelik, M. (2014), "Stability of EG cylindrical shells with shear stresses on a Pasternak foundation", Steel Compos. Struct., Int. J., 17(4), 453-470.   DOI
20 Reddy, J.N. (1984), "A simple higher order theory for laminated composite plates", J. Appl. Mech., 51(4), 745-752.   DOI
21 Santos, H., Soares, C.M.M., Soares, C.A.M. and Reddy, J.N. (2008), "A finite element model for the analysis of 3D axisymmetric laminated shells with piezoelectric sensors and actuators: Bending and free vibrations", Comput. Struct., 86(9), 940-947.   DOI
22 Shen, H.S. (2009), "Nonlinear bending of functionally graded carbon nanotube-reinforced composite plates in thermal environments", Compos. Struct., 91(1), 9-19.   DOI
23 Siao, J.C.T., Dong, S.B. and Song, J. (1994), "Frequency spectra of laminated piezoelectric cylinders", ASME J. Vib. Acoust., 116(3), 364-370.   DOI
24 Wang, L. and Ni, Q. (2009), "A reappraisal of the computational modelling of carbon nanotubes conveying viscous fluid", Mech. Res. Commun., 36(7), 833-837.   DOI
25 Sohn, J.W., Kim, H.S. and Choi, S.B. (2006), "Dynamic modeling and vibration control of smart hull structure", Trans. Korean Soc. Noise Vib. Eng., 16(8), 840-847.   DOI
26 Spencer, W.J., Corbett, W.T., Dominguez, L.R. and Shafer, B.D. (1978), "An electronically controlled piezoelectric insulin pump and valves", IEEE, 25(3), 153-156.
27 Vel, S.S. and Baillargeon, B.P. (2005), "Analysis of static deformation, vibration and active damping of cylindrical composite shells with piezoelectric shear actuators", J. Vib. Acoust., 127(4), 395-407.   DOI