[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.12989/cac.2017.19.3.325

Mathematical modeling of concrete pipes reinforced with CNTs conveying fluid for vibration and stability analyses

Nouri, Alireza Zamani (Department of Civil Engineering, college of Engineering, Saveh Branch, Islamic Azad University)

Publication Information

Computers and Concrete / v.19, no.3, 2017 , pp. 325-331 More about this Journal

Abstract

In this study, vibration and stability of concrete pipes reinforced with carbon nanotubes (CNTs) conveying fluid are presented. Due to the existence of CNTs, the structure is subjected to magnetic field. The radial fore induced with fluid is calculated using Navier-Stokes equations. Characteristics of the equivalent composite are determined using Mori-Tanaka model. The concrete pipe is simulated with classical cylindrical shell model. Employing energy method and Hamilton's principal, the motion equations are derived. Frequency and critical fluid velocity of structure are obtained analytically based on Navier method for simply supported boundary conditions at both ends of the pipe. The effects of fluid, volume percent of CNTs, magnetic field and geometrical parameters are shown on the frequency and critical fluid velocity of system. Results show that with increasing volume percent of CNTs, the frequency and critical fluid velocity of concrete pipe are increased.

Keywords

concrete pipe; fluid; modeling; critical fluid velocity; vibration;

Citations & Related Records

Times Cited By KSCI : 4 (Citation Analysis)

Reference
Cited By KSCI

1	Agrawal, S., Gupta, V.K. and Kankar, P.K. (2016), "Static analysis of magnetic field affected double single walled carbon nanotube system", Proc. Technol., 23, 84-90. DOI
2	Amabili, M. (1996), "Free vibration of partially filled horizontal cylindrical shells", J. Sound Vibr., 191(5), 757-780. DOI
3	Amabili, M. (1999), "Vibrations of circular tubes and shells filled and partially immersed in dense fluids", J. Sound Vibr., 221(4), 567-585. DOI
4	Askari, E., Daneshmand, F. and Amabili, M. (2011), "Coupled vibrations of a partially fluid-filled cylindrical container with an internal body including the effect of free surface waves", J. Fluid. Struct., 27(7), 1049-1067. DOI
5	Baohui, L., Hangshan, G., Yongshou, L. and Zhufeng, Y. (2012), "Free vibration analysis of micropipe conveying fluid by wave method", Res. Phys., 2, 104-109.
6	Bent, A.A., Hagood, N.W. and Rodgers, J.P. (1995), "Anisotropic actuation with piezoelectric fiber composites", J. Intel. Mater. Syst. Struct., 6(3), 338-349. DOI
7	Chen, W.Q. and Ding, H.J. (1999), "Natural frequencies of fluid-filled transversely isotropic cylindrical shells", J. Mech. Sci., 41(6), 677-684. DOI
8	Chen, W.Q., Bian, Z.G. and Ding, H.J. (2004), "Three-dimensional vibration analysis of fluid-filled orthotropic FGM cylindrical shells", J. Sol. Struct., 46(1), 159-171.
9	Chung, H. (1981), "Free vibration analysis of circular cylindrical shells", J. Sound Vibr., 74(3), 331-359. DOI
10	Daneshmand, F. and Ghavanloo, E. (2010), "Coupled free vibration analysis of a fluid-filled rectangular container with a sagged bottom membrane", J. Fluid. Struct., 26(2), 236-252. DOI
11	Ghorbanpour, A.A., Kolahchi, R., Mosalaei, B.A.A. and Loghman, A. (2012), "Electro-thermo-mechanical behaviors of FGPM spheres using analytical method and ANSYS software", Appl. Math. Model., 36(1), 139-157. DOI
12	Gibson, K. and Ronald, F. (1994), Principles of Composite Material Mechanics, McGraw Hill, New York.
13	Goncalves, P.B. and Batista, R.C. (1987), "Frequency response of cylindrical shells partially submerged or filled with liquid", J. Sound Vibr., 113(1), 59-70. DOI
14	Heidarzadeh, A., Kolahchi, R. and Rabani, B.M. (2016), "Concrete pipes reinforced with AL2O3 nanoparticles considering agglomeration: Magneto-thermo-mechanical stress analysis", J. Civil Eng., 1-8.
15	Jain, R.K. (1974), "Vibration of fluid-filled orthotropic cylindrical shells", J. Sound Vibr., 37(3), 379-388. DOI
16	Junger, M.C. and Mass, C. (1952), "Vibration of elastic shells in a fluid medium and the associated radiation of sound", J. Appl. Mech., 74, 439-445.
17	Kadoli, R. and Ganesan, N. (2003), "Free vibration and buckling analysis of composite cylindrical shells conveying hot fluid", Compos. Struct., 60(1), 19-32. DOI
18	Matsuna, H. (2007), "Vibration and buckling of cross-ply laminated composite circular cylindrical shells according to a global higher-order theory", J. Mech. Sci., 49(9), 1060-1075. DOI
19	Nguyen-Van, H., Mai-Duy, N., Karunasena, W. and Tran-Cong, T. (2011), "Buckling and vibration analysis of laminated composite plate/shell structures via a smoothed quadrilateral flat shell element with in-plane rotations", Compos. Struct., 89(7), 612-625. DOI
20	Messina, A. and Soldatos, K.P. (1999), "Vibration of completely free composite plates and cylindrical shell panels by a higher-order theory", J. Mech. Sci., 41(8), 891-918. DOI
21	Pellicano, F. and Amabili, M. (2003), "Stability and vibration of empty and fluid-filled circular cylindrical shells under static and periodic axial loads", J. Sol. Struct., 40(13), 3229-3251. DOI
22	Rahmani, O., Khalili, S.M.R. and Malekzadeh, K. (2010), "Free vibration response of composite sandwich cylindrical shell with flexible core", Compos. Struct., 92(5), 1269-1281. DOI
23	Ray, M.C. and Reddy, J.N. (2005), "Active control of laminated cylindrical shells using piezoelectric fiber reinforced composites", Compos. Sci. Technol., 65(7), 1226-1236. DOI
24	Reddy, J.N. (2004), Mechanics of Laminated Composite Plates and Shells-Theory and Analysis, CRC Press, New York, U.S.A.
25	Safari, B.B., Kolahchi, R. and Rabani, B.M. (2016), "Buckling of concrete columns retrofitted with nano-fiber reinforced polymer (NFRP)", Comput. Concrete, 18(5), 1053-1063. DOI
26	Tan, H., Huang, Y., Liu, C. and Geubelle, P.H. (2005), "The mori-tanaka method for composite materials with nonlinear interface debonding", J. Plast., 21(10), 1890-1918. DOI
27	Tan, P. and Tong, L. (2001), "Micro-electromechanics models for piezoelectric-fiber-reinforced composite materials", Compos. Sci. Technol., 61(5), 759-769. DOI
28	Zhang, C., Zhou, W., Ma, G., Hu, C. and Li, S. (2015), "A meso-scale approach to modeling thermal cracking of concrete induced by water-cooling pipes", Comput. Concrete, 15(4), 485-501. DOI
29	Tj, H.G., Mikami, T., Kanie, S. and Sato, M. (2005), "Free vibrations of fluid-filled cylindrical shells on elastic foundations", Thin-Wall. Struct., 43(11), 1746-1762. DOI
30	Zamanian, M., Kolahchi, R. and Rabani, B.M. (2016), "Agglomeration effects on the buckling behaviour of embedded concrete columns reinforced with SiO2 nano-particles", Wind Struct., 24(1), 43-57. DOI
31	Zhu, Z., Qiang, S. and Chen, W. (2013), "A new method solving the temperature field of concrete around cooling pipes", Comput. Concrete, 11(5), 441-462. DOI

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