Computers and Concrete

  • 제24권2호
  • /
  • Pages.125-135
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  • 2019
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  • 1598-8198(pISSN)
  • /
  • 1598-818X(eISSN)
테크노프레스 (Techno-Press)
권호 표지
DOI QR코드

DOI QR Code

Earthquake response of nanocomposite concrete pipes conveying and immersing in fluid using numerical methods

  • Maleki, Mostafa (Department of Civil Engineering, Jasb Branch, Islamic Azad University) ;
  • Bidgoli, Mahmood Rabani (Department of Civil Engineering, Jasb Branch, Islamic Azad University) ;
  • Kolahchi, Reza (Department of Civil Engineering, Jasb Branch, Islamic Azad University)
  • 투고 : 2019.03.25
  • 심사 : 2019.06.04
  • 발행 : 2019.08.25
⟨ 이전 논문 다음 논문 ⟩

초록

Concrete pipelines are the most efficient and safe means for gas and oil transportation over a long distance. The use of nano materials and nono-engineering can be considered for enhancing concrete pipelines properties. the tests show that SiO2 nanoparticles can improve the mechanical behavior of concrete. Moreover, severe hazard for pipelines is seismic ground motion. Over the years, scientists have attempted to understand pipe behavior against earthquake most frequently via numerical modeling and simulation. Therefore, in this paper, the dynamic response of underwater nanocomposite submerged pipeline conveying fluid is studied. The structure is subjected to the dynamic loads caused by earthquake and the governing equations of the system are derived using mathematical model via Classic shell theory and Hamilton's principle. Navier-Stokes equation is employed to calculate the force due to the fluid in the pipe. As well, the effect of external fluid is modeled with an external force. Mori-Tanaka approach is used to estimate the equivalent material properties of the nanocomposite. 1978 Tabas earthquake in Iran is considered for modelling seismic load. The dynamic displacement of the structure is extracted using differential quadrature method (DQM) and Newmark method. The effects of different parameters such as SiO2 nanoparticles volume percent, boundary conditions, thickness to radius ratios, length to radius ratios, internal and external fluid pressure and earthquake intensity are discussed on the seismic response of the structure. From results obtained in this paper, it can be found that the dynamic response of the pipe is increased in the presence of internal and external fluid. Furthermore, the use of SiO2 nanoparticles in concrete pipeline reduces the displacement of the structure during an earthquake.

키워드

참고문헌

  1. Abdoun, T.H., Ha, D., O'Rourke, M., Symans, M., O'Rourke, T., Palmer, M. and Harry, E. (2009), "Factors influencing the behavior of buried pipelines subjected to earthquake faulting", Soil Dyn. Earthq. Eng., 29, 415-427. https://doi.org/10.1016/j.soildyn.2008.04.006.
  2. Ahouel, M., Houari, M.S.A., Adda Bedia, E.A. and Tounsi A. (2016), "Size-dependent mechanical behavior of functionally graded trigonometric shear deformable nanobeams including neutral surface position concept", Steel Compos. Struct., 20(5), 963-981. https://doi.org/10.12989/scs.2016.20.5.963.
  3. Alijani, F. and Amabili, M. (2014), "Nonlinear vibrations and multiple resonances of fluid filled arbitrary laminated circular cylindrical shells", Compos. Struct., 108, 951-962. https://doi.org/10.1016/j.compstruct.2013.10.029.
  4. Amabili, M. (2008), Nonlinear Vibrations and Stability of Shells and Plates, Cambridge University Press, Cambridge.
  5. Amabili, M. and Paidoussis, M.P. (2003), "Review of studies on geometrically nonlinear vibrations and dynamics of circular cylindrical shells and panels, with and without fluid-structure interaction", Appl. Mech. Rev., 56, 349. https://doi.org/10.1115/1.1565084.
  6. Amabili, M., Pellicano, F. and Paidoussis, M.P. (1999a), "Nonlinear dynamics and stability of circular cylindrical shells containing flowing fluid Part I: stability", J. Sound Vib., 225, 655-699. https://doi.org/10.1006/jsvi.1999.2255.
  7. Amabili, M., Pellicano, F. and Paidoussis, M.P. (1999b), "Nonlinear dynamics and stability of circular cylindrical shells containing flowing fluid Part II: large-amplitude vibrations without flow", J. Sound Vib., 228, 1103-1124. https://doi.org/10.1006/jsvi.1999.2476.
  8. Amabili, M., Pellicano, F. and Paidoussis, M.P. (2000), "Nonlinear dynamics and stability of circular cylindrical shells containing flowing fluid. Part III: truncation effect without flow and experiments", J. Sound Vib., 237, 617-640. https://doi.org/10.1006/jsvi.2000.3071.
  9. Attia, A., Tounsi, A., Adda Bedia, E.A. and Mahmoud, S.R. (2015), "Free vibration analysis of functionally graded plates with temperature-dependent properties using various four variable refined plate theories", Steel Compos. Struct., 18(1), 187-212. https://doi.org/10.12989/scs.2015.18.1.187.
  10. Belabed, Z., Houari, M.S.A., Tounsi, A., Mahmoud, S.R. and Beg, O.A. (2014), "An efficient and simple higher order shear and normal deformation theory for functionally graded material (FGM) plates", Compos.: Part B, 60, 274-283. https://doi.org/10.1016/j.compositesb.2013.12.057.
  11. Beldjelili, Y., Tounsi, A. and Mahmoud, S.R. (2016), "Hygrothermo-mechanical bending of S-FGM plates resting on variable elastic foundations using a four-variable trigonometric plate theory", Smart Struct. Syst., 18(4), 755-786. https://doi.org/10.12989/sss.2016.18.4.755
  12. Belkorissat, I., Houari, M.S.A., Tounsi, A. and Hassan, S. (2015), "On vibration properties of functionally graded nanoplate using a new nonlocal refined four variable model", Steel Compos. Struct., 18(4), 1063-1081. http://dx.doi.org/10.12989/scs.2015.18.4.1063.
  13. Bellifa, H., Benrahou, K.H., Bousahla, A.A., Tounsi, A. and Mahmoud, S.R. (2017), "A nonlocal zeroth-order shear deformation theory for nonlinear postbuckling of nanobeams", Struct. Eng. Mech., 62(6), 695-702. https://doi.org/10.12989/sem.2017.62.6.695.
  14. Bellifa, H., Benrahou, K.H., Hadji, L., Houari, M.S.A. and Tounsi, A. (2016), "Bending and free vibration analysis of functionally graded plates using a simple shear deformation theory and the concept the neutral surface position", J Braz. Soc. Mech. Sci. Eng., 38(1), 265-275. https://doi.org/10.1007/s40430-015-0354-0.
  15. Benjamin, T.B. (1961), "Dynamics of a system of articulated pipes conveying fluid", Proc. Royal Soc. A., 261(130), 457-486. https://doi.org/10.1098/rspa.1961.0090.
  16. Bennoun, M., Houari, M.S.A. and Tounsi, A. (2016), "A novel five variable refined plate theory for vibration analysis of functionally graded sandwich plates", Mech. Adv. Mater. Struct., 23(4), 423-431. https://doi.org/10.1080/15376494.2014.984088.
  17. Bessaim, A., Houari, M.S.A. and Tounsi, A. (2013), "A new higher-order shear and normal deformation theory for the static and free vibration analysis of sandwich plates with functionally graded isotropic face sheets", J. Sandw. Struct. Mater., 15(6), 671-703. https://doi.org/10.1177/1099636213498888.
  18. Besseghier, A., Houari, M.S.A., Tounsi, A. and Hassan, S. (2017), "Free vibration analysis of embedded nanosize FG plates using a new nonlocal trigonometric shear deformation theory", Smart Struct. Syst., 19(6), 601-614. https://doi.org/10.12989/sss.2017.19.6.601.
  19. Bouafia, Kh., Kaci, A., Houari M.S.A. and Tounsi, A. (2017), "A nonlocal quasi-3D theory for bending and free flexural vibration behaviors of functionally graded nanobeams", Smart Struct. Syst., 19, 115-126. https://doi.org/10.12989/sss.2017.19.2.115.
  20. Bouderba, B., Houari, M.S.A. and Tounsi, A. (2013), "Thermomechanical bending response of FGM thick plates resting on Winkler-Pasternak elastic foundations", Steel Compos. Struct., 14(1), 85-104. https://doi.org/10.12989/scs.2013.14.1.085.
  21. Bouderba, B., Houari, M.S.A., Tounsi, A. and Mahmoud, S.R. (2016b), "Thermal stability of functionally graded sandwich plates using a simple shear deformation theory", Struct. Eng. Mech., 58(3), 397-422. https://doi.org/10.12989/sem.2016.58.3.397.
  22. Boukhari, A., Atmane, H.A., Tounsi, A., Adda Bedia, E.A. and Mahmoud, S.R. (2016), "An efficient shear deformation theory for wave propagation of functionally graded material plates", Struct. Eng. Mech., 57(5), 837-859. https://doi.org/10.12989/sem.2016.57.5.837.
  23. Bounouara, F., Benrahou, K.H., Belkorissat, I. and Tounsi A. (2016), "A nonlocal zeroth-order shear deformation theory for free vibration of functionally graded nanoscale plates resting on elastic foundation", Steel Compos. Struct., 20(2), 227-249. https://doi.org/10.12989/scs.2016.20.2.227.
  24. Bourada, M., Kaci, A., Houari, M.S.A. and Tounsi, A. (2015), "A new simple shear and normal deformations theory for functionally graded beams", Steel Compos. Struct., 18(2), 409-423. https://doi.org/10.12989/scs.2015.18.2.409.
  25. Bousahla, A.A., Benyoucef, S., Tounsi, A. and Mahmoud, S.R. (2016a), "On thermal stability of plates with functionally graded coefficient of thermal expansion", Struct. Eng. Mech., 60(2), 313-335. https://doi.org/10.12989/sem.2016.60.2.313.
  26. Brush, O. and Almorth, B. (1975), Buckling of Bars, Plates and Shells, Mc-Graw Hill.
  27. Chen, W., Shih, B.J., Chen, Y.C., Hung, J.H. and Hwang, H.H. (2002), "Seismic response of natural gas and water pipelines in the Ji-Ji earthquake", Soil Dyn. Earthq. Eng., 22, 1209-1214. https://doi.org/10.1016/S0267-7261(02)00149-5.
  28. Chikh, A., Tounsi, A., Hebali, H. and Mahmoud, S.R. (2017), "Thermal buckling analysis of cross-ply laminated plates using a simplified HSDT", Smart Struct. Syst., 19(3), 289-297. https://doi.org/10.12989/sss.2017.19.3.289.
  29. Dey, T. and Ramachandra, L.S. (2017), "Non-linear vibration analysis of laminated composite circular cylindrical shells", Compos. Struct., 163, 89-100. https://doi.org/10.1016/j.compstruct.2016.12.018.
  30. Draiche, K., Tounsi, A. and Mahmoud, S.R. (2016), "A refined theory with stretching effect for the flexure analysis of laminated composite plates", Geomech. Eng., 11, 671-690. https://doi.org/10.12989/gae.2016.11.5.671.
  31. El-Haina, F., Bakora, A., Bousahla, A.A. and Hassan, S. (2017), "A simple analytical approach for thermal buckling of thick functionally graded sandwich plates", Struct. Eng. Mech., 63(5), 585-595. https://doi.org/10.12989/sem.2017.63.5.585.
  32. Ghavanloo, E. and Fazelzadeh, A. (2011), "Flow-thermoelastic vibration and instability analysis of viscoelastic carbon nanotubes embedded in viscous fluid", Physica E., 44, 17-24. https://doi.org/10.1016/j.physe.2011.06.024.
  33. Gong, S.W., Lam, K.Y. and Lu, C. (2000), "Structural analysis of a submarine pipeline subjected to underwater shock", Int. J. Pres. Ves. Pip., 77, 417-423. https://doi.org/10.1016/S0308-0161(00)00022-3.
  34. Housner, G.W. (1952), "Bending vibrations of a pipe line containing flowing fluid", J. Appl. Mech., 19, 205-208. https://doi.org/10.1115/1.4010447
  35. Huang, Y.M., Liu, Y.S., Li, B.H., Li, Y.J. and Yue, Z.F. (2010), "Natural frequency analysis of fluid conveying pipeline with different boundary conditions", Nucl. Eng. Des., 240(3), 461-467. https://doi.org/10.1016/j.nucengdes.2009.11.038.
  36. Ibrahim, R.A. (2010), "Overview of mechanics of pipes conveying fluids part i: fundamental studies", J. Press. Vess Technol., 132, 32. https://doi.org/10.1115/1.4001271.
  37. Ibrahim, R.A. (2011), "Mechanics of pipes conveying fluid part ii: applications and fluid elastic problems", J. Press. Vess Technol., 133, 30. https://doi.org/10.1115/1.4001270.
  38. Inozemtcev, A.S., Korolev, E.V. and Smirnov, V.A. (2017), "Nanoscale modifier as an adhesive for hollow microspheres to increase the strength of high-strength lightweight concrete", Struct. Concrete, 18(1), 67-74. https://doi.org/10.1002/suco.201500048.
  39. JafarianArani, A and Kolahchi, R. (2016), "Buckling analysis of embedded concrete columns armed with carbon nanotubes", Comput. Concrete, 17(5), 567-578. http://dx.doi.org/10.12989/cac.2016.17.5.567.
  40. Khetir, H., Bouiadjra, M.B., Houari, M.S.A., Tounsi, A. and Mahmoud, S.R. (2017), "A new nonlocal trigonometric shear deformation theory for thermal buckling analysis of embedded nanosize FG plates", Struct. Eng. Mech., 64(4), 391-402. https://doi.org/10.12989/sem.2017.64.4.391.
  41. Kolahchi, R., RabaniBidgoli, M., Beygipoor, G.H. and Fakhar, M.H. (2015), "A nonlocal nonlinear analysis for buckling in embedded FG-SWCNT-reinforced microplates subjected to magnetic field", J. Mech. Sci. Tech., 29, 3669-3677. https://doi.org/10.1007/s12206-015-0811-9.
  42. Lam, K.Y., Zong, Z. and Wang, Q.X. (2003), "Dynamic response of a laminated pipeline on the seabed subjected to underwater shock", Compos. Part B-Eng., 34, 59-66. https://doi.org/10.1016/S1359-8368(02)00072-0.
  43. Larbi Chaht, F., Kaci, A., Houari M.S.A. and Hassan, S. (2015), "Bending and buckling analyses of functionally graded material (FGM) size-dependent nanoscale beams including the thickness stretching effect" Steel Compos. Struct., 18(2), 425-442. https://doi.org/10.12989/scs.2015.18.2.425.
  44. Lee, U. and Oh, H. (2003), "The spectral element model for pipelines conveying internal steady flow", Eng. Struct., 25, 1045-1055. https://doi.org/10.1016/S0141-0296(03)00047-6.
  45. Lin, W. and Qiao, N. (2008), "Vibration and stability of an axially moving beam immersed in fluid", Int. J. Solid. Struct., 45, 1445-1457. https://doi.org/10.1016/j.ijsolstr.2007.10.015.
  46. Liu, Z.G., Liu, Y. and Lu, J. (2012), "Fluid-structure interaction of single flexible cylinder in axial flow", Comput. Fluid., 56, 143-151. https://doi.org/10.1016/j.compfluid.2011.12.003.
  47. Lopes, J.L., Paidoussis, M.P. and Semler, C. (2002), "Linear and nonlinear dynamics of cantilevered cylinders in axial flow part 2: the equations of motion", J. Fluid Struct., 16, 715-737. https://doi.org/10.1006/jfls.2002.0448.
  48. Menasria, A., Bouhadra, A., Tounsi, A. and Hassan, S. (2017), "A new and simple HSDT for thermal stability analysis of FG sandwich plates", Steel Compos. Struct., 25(2), 157-175. https://doi.org/10.12989/scs.2017.25.2.157.
  49. Meziane, M.A.A., Abdelaziz, H.H. and Tounsi, A.T. (2014), "An efficient and simple refined theory for buckling and free vibration of exponentially graded sandwich plates under various boundary conditions", J. Sandw. Struct. Mater., 16(3), 293-318. https://doi.org/10.1177/1099636214526852.
  50. Mori, T. and Tanaka, K. (1973), "Average stress in matrix and average elastic energy of materials with misfitting inclusions", Acta. Metall. Mater., 21, 571-574. https://doi.org/10.1016/0001-6160(73)90064-3.
  51. Motezaker, M. and Kolahchi, R. (2017), "Seismic response of $SiO_2$ nanoparticles-reinforced concrete pipes based on DQ and newmark methods", Comput. Concrete, 19(6), 745-753. https://doi.org/10.12989/cac.2017.19.6.745.
  52. Mouffoki, A., Adda Bedia, E.A., Houari M.S.A. and Hassan, S. (2017), "Vibration analysis of nonlocal advanced nanobeams in hygro-thermal environment using a new two-unknown trigonometric shear deformation beam theory", Smart Struct. Syst., 20(3), 369-383. https://doi.org/10.12989/sss.2017.20.3.369.
  53. Paidoussis, M.P. (2004), Fluid-Structure Interactions, Slender Structures and Axial Flow, Vol. 2, Elsevier Academic Press, London.
  54. Paidoussis, M.P. (2005), "Some unresolved issues in fluidstructure interactions", J. Fluid Struct., 20, 871-890. https://doi.org/10.1016/j.jfluidstructs.2005.03.009.
  55. Paidoussis, M.P. and Issid, N.T. (1974), "Dynamic stability of pipes conveying fluid", J. Sound Vib., 33, 267-294. https://doi.org/10.1016/S0022-460X(74)80002-7.
  56. Paidoussis, M.P., Grinevich, E., Adamovic, D. and Semler, C. (2007a), "Linear and nonlinear dynamics of cantilevered cylinders in axial flow part 1: physical dynamics", J. Fluid Struct., 16, 691-713. https://doi.org/10.1006/jfls.2002.0447.
  57. Paidoussis, M.P., Semler, C., Wadham-Gagnon, M. and Saaid, S. (2007b), "Dynamics of cantilevered pipes conveying fluid part 2: dynamics of the system with intermediate spring support", J. Fluid Struct., 23, 569-587. https://doi.org/10.1016/j.jfluidstructs.2006.10.009.
  58. RabaniBidgoli, M. and Saeidifar, M. (2017), "Time-dependent buckling analysis of $SiO_2$ nanoparticles reinforced concrete columns exposed to fire", Comput. Concrete, 20(2), 119-127. https://doi.org/10.12989/cac.2017.20.2.119.
  59. Ray, M.C. and Reddy, J.N. (2013), "Active damping of laminated cylindrical shells conveying fluid using 1-3 piezoelectric composites", Compos. Struct., 98, 261-271. https://doi.org/10.1016/j.compstruct.2012.09.051.
  60. Safari Bilouei, B., Kolahchi, R. and Rabanibidgoli, M. (2016), "Buckling of concrete columns retrofitted with Nano-Fiber Reinforced Polymer (NFRP)", Comput. Concrete, 18(5), 1053-1063. https://doi.org/10.12989/cac.2016.18.5.1053.
  61. Semler, C., Lopes, J.L., Augu, N. and Paidoussis, M.P. (2002), "Linear and nonlinear dynamics of cantilevered cylinders in axial flow part 3: nonlinear dynamics", J. Fluid Struct., 16, 739-759. https://doi.org/10.1006/jfls.2002.0445.
  62. Shamsuddoha, M., Islam, M.M., Aravinthan, T., Manalo, A. and Lau, K.T. (2013), "Effectiveness of using fibre-reinforced polymer composites for underwater steel pipeline repairs", Compos. Struct., 100, 40-54. https://doi.org/10.1016/j.compstruct.2012.12.019.
  63. Shokravi, M. (2017), "Vibration analysis of silica nanoparticlesreinforced concrete beams considering agglomeration effects", Comput. Concrete, 19(3), 333-338. https://doi.org/10.12989/cac.2017.19.3.333.
  64. Simsek, M. (2010), "Non-linear vibration analysis of a functionally graded Timoshenko beam under action of a moving harmonic load", Compos. Struct., 92, 2532-2546. https://doi.org/10.1016/j.compstruct.2010.02.008.
  65. Su, Y., Li, J., Wu, C and Li, Z.X. (2016), "Influences of nanoparticles on dynamic strength of ultra-high performance concrete", Compos. Part B-Eng., 91, 595-609. https://doi.org/10.1016/j.compositesb.2016.01.044.
  66. Thinh, T.I. and Nguyen, M.C. (2016), "Dynamic stiffness method for free vibration of composite cylindrical shells containing fluid", Appl. Math. Model., 40, 9286-9301. https://doi.org/10.1016/j.apm.2016.06.015.
  67. Wadham-Gagnon, M., Paidoussis, M.P. and Semler, C. (2007), "Dynamics of cantilevered pipes conveying fluid part 1: nonlinear equations of three-dimentional motion", J. Fluid Struct., 23, 545-67. https://doi.org/10.1016/j.jfluidstructs.2006.10.006.
  68. Yoon, H.I. and Son, I. (2007), "Dynamic response of rotating flexible cantilever fluid with tip mass", Int. J. Mech. Sci., 49, 878-887. https://doi.org/10.1016/j.ijmecsci.2006.11.006.
  69. Zamani Nouri, A. (2017), "Mathematical Modeling of concrete pipes reinforced with CNTs conveying fluid for vibration and stability analyses", Comput. Concrete, 19(3), 325-331. https://doi.org/10.12989/cac.2017.19.3.325.
  70. Zemri, A., Houari, M.S.A., Bousahla, A.A. and Tounsi A. (2015), "A mechanical response of functionally graded nanoscale beam: an assessment of a refined nonlocal shear deformation theory beam theory", Struct. Eng. Mech., 54(4), 693-710. https://doi.org/10.12989/sem.2015.54.4.693.
  71. Zhai, H., Wu, Z., Liu, Y. and Yue, Z. (2011), "Dynamic response of pipeline conveying fluid to random excitation", Nucl. Eng. Des., 241, 2744-2749. https://doi.org/10.1016/j.nucengdes.2011.06.024.
  72. Zhou, X.Q., YU, D.Y., Shao, X.Y., Zhang, C.Y. and Wang, S. (2017), "Dynamics characteristic of steady fluid conveying in the periodical partially viscoelastic composite pipeline", Compos. Part B-Eng., 111, 387-408. https://doi.org/10.1016/j.compositesb.2016.11.059.
  73. Zidi, M., Tounsi, A., and Beg, O.A. (2014), "Bending analysis of FGM plates under hygro-thermo-mechanical loading using a four variable refined plate theory", Aerosp. Sci. Tech., 34, 24-34. https://doi.org/10.1016/j.ast.2014.02.001.