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Classical shell theory for instability analysis of concrete pipes conveying nanofluid

  • Keikha, Reza (Department of Civil Engineering, Faculty of Engineering, University of Zabol) ;
  • Heidari, Ali (Department of Civil Engineering, Faculty of Engineering, University of Zabol) ;
  • Hosseinabadi, Hamidreza (Department of Civil Engineering, Faculty of Engineering, University of Zabol) ;
  • Haghighi, Mohammad Salkhordeh (Department of Civil Engineering, Faculty of Engineering, University of Zabol)
  • Received : 2018.04.16
  • Accepted : 2018.05.30
  • Published : 2018.08.25

Abstract

This paper deals with the instability analysis of concrete pipes conveying viscous fluid-nanoparticle mixture. The fluid is mixed by $AL_2O_3$ nanoparticles where the effective material properties of fluid are obtained by mixture rule. The applied force by the internal fluid is calculated by Navier-Stokes equation. The structure is simulated by classical cylindrical shell theory and using energy method and Hamilton's principle, the motion equations are derived. Based on Navier method, the critical fluid velocity of the structure is calculated and the effects of different parameters such as fluid velocity, volume percent of nanoparticle in fluid and geometrical parameters of the pipe are considered. The results present that with increasing the volume percent of nanoparticle in fluid, the critical fluid velocity increase.

Keywords

References

  1. Amabili, M. (2008), Nonlinear Vibrations and Stability of Shells and Plates, Cambridge University Press, New York.
  2. Dai, H.L., Wang, L., Qian, Q. and Gan, J. (2012), "Vibration analysis of three-dimensional pipes conveying fluid with consideration of steady combined force by transfer matrix method", Appl. Math. Comput., 219, 2453-2464.
  3. Gay-Balmaz, F. and Putkaradze, V. (2015), "On flexible tubes conveying fluid: geometric nonlinear theory, stability and dynamics", J. Nonlin. Sci., 25, 889-936. https://doi.org/10.1007/s00332-015-9246-9
  4. Gu, J., Ma, T. and Duan, M. (2016), "Effect of aspect ratio on the dynamic response of a fluid-conveying pipe using the Timoshenko beam model", Ocean Eng., 114, 185-191. https://doi.org/10.1016/j.oceaneng.2016.01.021
  5. Jayaraj, K., Ganesan, N. and Chandramouli, P. (2002), "A semi-analytical coupled finite element formulation for composite shells conveying fluids", J. Sound Vib., 258(2), 287-307. https://doi.org/10.1006/jsvi.2002.5176
  6. Kadoli, R. and Ganesan, N. (2003), "Free vibration and buckling analysis of composite cylindrical shells conveying hot fluid", Compos. Struct., 60, 19-32. https://doi.org/10.1016/S0263-8223(02)00313-6
  7. Li, C.H., Zhang, Y., Tu, W., Jun, C., Liang, H. and Yu, H. (2017), "Soft measurement of wooddefects based on LDA feature fusion and compressed sensor images", J. Forest Res., 28, 1285-1292. https://doi.org/10.1007/s11676-017-0395-6
  8. Loy, C.T., Lam, K.Y. and Shu, C. (1997), "Analysis of cylindrical shells using generalized differential quadrature", Shock Vib., 4, 193-198. https://doi.org/10.1155/1997/538754
  9. Meng, D., Guo, H. and Xu, S. (2011), "Non-linear dynamic model of a fluid-conveying pipe undergoing overall motions", Appl. Math. Model., 35, 781-796. https://doi.org/10.1016/j.apm.2010.07.033
  10. Moradi-Dastjerdi, R., Foroutan, M. and Pourasghar, A. (2013), "Dynamic analysis of functionally graded nanocomposite cylinders reinforced by carbon nanotube by a mesh-free method", Mater. Des., 44, 256-264. https://doi.org/10.1016/j.matdes.2012.07.069
  11. Ni, Q., Zhang, Z.L. and Wang, L. (2011), "Application of the differential transformation method to vibration analysis of pipes conveying fluid", Appl. Math. Comput., 217, 7028-7038.
  12. Paidoussis, M.P. and Li, G.X. (1993), "Pipes conveying fluid: a model dynamical problem", J. Fluid. Struct., 7, 137-204. https://doi.org/10.1006/jfls.1993.1011
  13. Qu, Y., Chen, Y., Long, X., Hua, H. and Meng, G. (2013), "Free and forced vibration analysis of uniform and stepped circular cylindrical shells using a domain decomposition method", Appl. Acoust., 74, 425-439. https://doi.org/10.1016/j.apacoust.2012.09.002
  14. Reddy, J.N. (1984), "A simple higher order theory for laminated composite plates", J. Appl. Mech., 51, 745-752. https://doi.org/10.1115/1.3167719
  15. Song, Z.G., Zhang, L.W. and Liew, K.M. (2016), "Vibration analysis of CNT-reinforced functionally graded composite cylindrical shells in thermal environments", Int. J. Mech. Sci., 115-116, 339-347. https://doi.org/10.1016/j.ijmecsci.2016.06.020
  16. Tang, D., Wu, G., Yao, X. and Wang, Ch. (2016), "Free vibration analysis of circular cylindrical shells with arbitrary boundary conditions by the method of Reverberation-Ray matrix", Shock Vib., 3814693, 18.
  17. Toorani, M.H. and Lakis, A.A. (2001), "Dynamic analysis of anisotropic cylindrical shells containing flowing fluid", J. Press. Vess. Tech. Trans., ASME, 123, 454-60. https://doi.org/10.1115/1.1401023
  18. Wang, L. and Ni, Q. (2009), "A reappraisal of the computational modelling of carbon nanotubes conveying viscous fluid", Mech. Res. Commun., 36, 833-837. https://doi.org/10.1016/j.mechrescom.2009.05.003
  19. Yang, H. and Yu, L. (2017), "Feature extraction of wood-hole defects using wavelet-basedultrasonic testing", J. Forest Res., 28, 395-402 https://doi.org/10.1007/s11676-016-0297-z
  20. Zamani Nouri, A. (2017), "Mathematical modeling of concrete pipes reinforced with CNTs conveying fluid for vibration and stability analyses", Comput. Concrete, 19, 325-331. https://doi.org/10.12989/cac.2017.19.3.325
  21. Zamani Nouri, A. (2018a), "The effect of Fe2O3 nanoparticles instead cement on the stability of fluid-conveying concrete pipes based on exact solution", Comput. Concrete, 21, 31-37.
  22. Zhang, T., Ouyang, H., Zhang, Y.O. and Lv, B.L. (2016), "Nonlinear dynamics of straight fluid-conveying pipes with general boundary conditions and additional springs and masses", Appl. Math. Model., 40, 7880-7900. https://doi.org/10.1016/j.apm.2016.03.050
  23. Zhang, X.M., Liu, G.R. and Lam, K.Y. (2001), "Frequency analysis of cylindrical panels using a wave propagation approach", Appl. Acoust., 62, 527-543. https://doi.org/10.1016/S0003-682X(00)00059-1
  24. Zhang, Y.L., Reese, J.M. and Gorman, D.G. (2002), "Initially tensioned orthotropic cylindrical shells conveying fluid: A vibration analysis", J. Fluid. Struct., 16(1), 53-70. https://doi.org/10.1006/jfls.2001.0409

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