Computers and Concrete

Techno-Press (테크노프레스)
권호 표지
DOI QR코드

DOI QR Code

Vibration and instability of nanocomposite pipes conveying fluid mixed by nanoparticles resting on viscoelastic foundation

  • Received : 2017.10.25
  • Accepted : 2018.01.29
  • Published : 2018.05.25
⟨ Previous Next ⟩

Abstract

In this study, nonlinear vibration and stability of a polymeric pipe reinforced by single-walled carbon naotubes (SWCNTs) conveying fluid-nanoparticles mixture flow is investigated. The Characteristics of the equivalent composite are determined using Mori-Tanaka model considering agglomeration effects. The surrounding elastic medium is simulated by orthotropic visco-Pasternak medium. Employing nonlinear strains-displacements, stress-strain energy method the governing equations were derived using Hamilton's principal. Differential quadrature method (DQM) is used for obtaining the frequency and critical fluid velocity. The influence of volume percent of SWCNTs, agglomeration, geometrical parameters of pipe, viscoelastic foundation and fluid velocity are shown on the frequency and critical fluid velocity of pipe. Results showed the increasing volume percent of SWCNTs leads to higher frequency and critical fluid velocity.

Keywords

References

  1. 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
  2. Amabili, M. (2003), "A comparison of shell theories for largeamplitude vibrations of circular cylindrical shells: Lagrangian approach", J. Sound Vib., 264, 1091-1125. https://doi.org/10.1016/S0022-460X(02)01385-8
  3. Amabili, M. (2008), Nonlinear Vibrations and Stability of Shells and Plates, Cambridge University Press, New York.
  4. Amabili, M. and Garziera, R. (2002), "Vibrations of circular cylindrical shells with nonuniform constraints, elastic bed and added mass. Part II: shells containing or immersed in axial flow", J. Fluid. Struct., 16, 31-51. https://doi.org/10.1006/jfls.2001.0402
  5. 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
  6. Bahadori, R. and Najafizadeh, M.M. (2015), "Free vibration analysis of two-dimensional functionally graded axisymmetric cylindrical shell on Winkler-Pasternak elastic foundation by First-order Shear Deformation Theory and using Navierdifferential quadrature solution methods", Appl. Math. Model., 39, 4877-4894. https://doi.org/10.1016/j.apm.2015.04.012
  7. 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
  8. 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
  9. 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. https://doi.org/10.12989/scs.2015.18.4.1063
  10. 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
  11. 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
  12. 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
  13. 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
  14. 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
  15. Bochkarev, S.A. and Matveenko, V.P. (2013), "Numerical analysis of stability of a stationary or rotating circular cylindrical shell containing axially flowing and rotating fluid", Int. J. Mech. Sci., 68, 258-269. https://doi.org/10.1016/j.ijmecsci.2013.01.024
  16. 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
  17. 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
  18. 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
  19. 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
  20. 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
  21. 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
  22. 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
  23. 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
  24. Dai, H.L., Wang, L., Qian, Q. and Ni, Q. (2014), "Vortex-induced vibrations of pipes conveying pulsating fluid", Ocean Eng., 77, 12-22. https://doi.org/10.1016/j.oceaneng.2013.12.006
  25. De Bellis, M.L., Ruta, G.C. and Elishakoff, I. (2010), "Influence of a Wieghardt foundation on the dynamic stability of a fluid conveying pipe", Arch. Appl. Mech., 80, 785-801. https://doi.org/10.1007/s00419-009-0305-2
  26. Donnell, L.H. (1934), "A new theory for the buckling of thin cylinders under axial compression and bending", Tran. ASME, 56, 795-806.
  27. 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
  28. Duc, N.D. and Than, P.T. (2015), "Nonlinear dynamic response and vibration of shear deformable imperfect eccentrically stiffened S-FGM circular cylindrical shells surrounded on elastic foundations", Aero. Sci. Tech., 40, 115-127. https://doi.org/10.1016/j.ast.2014.11.005
  29. 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
  30. Ghorbanpour Arani, A., Karimi, M.S. and Rabani Bidgoli, M. (2016), "Nonlinear vibration and instability of rotating piezoelectric nano-composite sandwich cylindrical shells containing axially flowing and rotating fluid-particle mixture", Polym. Compos., 38(S1), E577-E596.
  31. Hamidi, A., Houari, M.S.A., Mahmoud, S.R. and Tounsi, A. (2015), "A sinusoidal plate theory with 5-unknowns and stretching effect for thermomechanical bending of functionally graded sandwich plates", Steel Compos. Struct., 18(1), 235-253. https://doi.org/10.12989/scs.2015.18.1.235
  32. 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
  33. Kamarian, S., Sadighi, M., Shakeri, M. and Yas, M.H. (2014), "Free vibration response of sandwich cylindrical shells with functionally graded material face sheets resting on Pasternak foundation", J. Sand. Struct. Mater., 16, 511-533. https://doi.org/10.1177/1099636214541573
  34. 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
  35. Kolahchi, R., Hosseini, H. and Esmailpour, M. (2016b), "Differential cubature and quadrature-Bolotin methods for dynamic stability of embedded piezoelectric nanoplates based on visco-nonlocal-piezoelasticity theories", Compos. Struct., 157, 174-186. https://doi.org/10.1016/j.compstruct.2016.08.032
  36. Kolahchi, R., Rabani Bidgoli, M., Beygipoor, Gh. 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
  37. Kolahchi, R., Safari, M. and Esmailpour, M. (2016a), "Dynamic stability analysis of temperature-dependent functionally graded CNT-reinforced visco-plates resting on orthotropic elastomeric medium", Compos. Struct., 150, 255-265. https://doi.org/10.1016/j.compstruct.2016.05.023
  38. Kolahchi, R., Zarei, M.Sh., Hajmohammad, M.H. and Naddaf Oskouei, A. (2017), "Visco-nonlocal-refined Zigzag theories for dynamic buckling of laminated nanoplates using differential cubature-Bolotin methods", Thin Wall. Struct., 113, 162-169. https://doi.org/10.1016/j.tws.2017.01.016
  39. Kumarm A., Chakrabartim, A. and Bhargavam, P. (2013), "Vibration of laminated composites and sandwich shells based on higher order zigzag theory", Eng. Struct., 56, 880-888. https://doi.org/10.1016/j.engstruct.2013.06.014
  40. 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
  41. Lei, Z.X., Zhang, L.W., Liew, K.M. and Yu, J.L. (2014), "Dynamic stability analysis of carbon nanotube-reinforced functionally graded cylindrical panels using the element-free kp-Ritz method", Compos. Struct., 113, 328-338. https://doi.org/10.1016/j.compstruct.2014.03.035
  42. Leissa, A.W. (1973), Vibrations of Shells, NASA SP-288, Washington DC.
  43. Li, Ch., Zhang, Y., Tu, W., Jun, C., Liang, H. and Yu, H. (2017), "Soft measurement of wood defects based on LDA feature fusion and compressed sensor images", J. Forest. Res., 28, 1285-1292. https://doi.org/10.1007/s11676-017-0395-6
  44. Li, Y.Q. and Tamura, Y. (2005), "Nonlinear dynamic analysis for large-span single-layer reticulated shells subjected to wind loading", Wind Struct., 8, 35-48. https://doi.org/10.12989/was.2005.8.1.035
  45. Liew, K.M., Lei, Z.X., Yu, J.L. and Zhang, L.W. (2014), "Postbuckling of carbon nanotube-reinforced functionally graded cylindrical panels under axial compression using a meshless approach", Comput. Meth. Appl. Mech. Eng., 268, 1-17. https://doi.org/10.1016/j.cma.2013.09.001
  46. Liu, H., Ma, J. and Huang, W. (2018), "Sensor-based complete coverage path planning in dynamic environment for cleaning robot", CAAI Trans. Intell. Technol., 3, 65-72. https://doi.org/10.1049/trit.2018.0009
  47. Love, A.E.H. (1892), A Treatise on the Mathematical Theory of Elasticity, Cambridge University Press, Dover, New York.
  48. Mahi, A., Bedia, E.A.A. and Tounsi, A. (2015), "A new hyperbolic shear deformation theory for bending and free vibration analysis of isotropic, functionally graded, sandwich and laminated composite plates", Appl. Math. Model., 39, 2489-2508. https://doi.org/10.1016/j.apm.2014.10.045
  49. Mantari, J.L. and Guedes Soares, C. (2014), "Optimized sinusoidal higher order shear deformation theory for the analysis of functionally graded plates and shells", Compos. Part B, 56, 126-136. https://doi.org/10.1016/j.compositesb.2013.07.027
  50. 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
  51. Messina, A. and Soldatos, K.P. (1999), "Vibration of completely free composite plates and cylindrical shell panels by a higherorder theory", Int. J. Mech. Sci., 41, 891-918. https://doi.org/10.1016/S0020-7403(98)00069-1
  52. 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
  53. 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
  54. Padhy, S. and Panda, S. (2017), "A hybrid stochastic fractal search and pattern search technique based cascade PI-PD controller for automatic generation control of multi-source power systems in presence of plug in electric vehicles", CAAI Trans. Intell. Technol., 2, 12-25. https://doi.org/10.1016/j.trit.2017.01.002
  55. Paidoussis, M.P. (2003), Fluid-Structure Interactions: Slender Structures and Axial Flow, Elsevier Academic Press, London, UK.
  56. Paidoussis, M.P. and Denise, J.P. (1972), "Flutter of thin cylindrical shells conveying fluid", J. Sound Vib., 20, 9-26. https://doi.org/10.1016/0022-460X(72)90758-4
  57. Paidoussis, M.P., Misra, A.K. and Chan, S.P. (1985), "Dynamics and stability of coaxial cylindrical shells conveying viscous fluid", J. Appl. Mech., 52, 389-396. https://doi.org/10.1115/1.3169059
  58. Pellicano, F., Amabili, M. and Padoussis, M.P. (2002), "Effect of the geometry on the non-linear vibration of circular cylindrical shells", Int. J. Nonlin. Mech., 37, 1181-1198. https://doi.org/10.1016/S0020-7462(01)00139-1
  59. Reddy, J.N. (2004), Mechanics of Laminated Composite Plates and Shells, 2nd Edition, CRC Press, Washington.
  60. Rishikeshan, C.A. and Ramesh, H. (2017), "A novel mathematical morphology based algorithm for shoreline extraction from satellite images", Geo-spatial Inform. Sci., 20, 345-352. https://doi.org/10.1080/10095020.2017.1403089
  61. Sanders, J.L. (1959), An Improved First Approximation Theory for Thin Shells, NASA TR-R24.
  62. Seo, Y.S., Jeong, W.B., Yoo, W.S. and Jeong, H.K. (2015), "Frequency response analysis of cylindrical shells conveying fluid using finite element method", J. Mech. Sci. Tech., 19, 625-633.
  63. Shi, D.L. and Feng, X.Q. (2004), "The Effect ofNanotube Waviness and Agglomeration on the Elastic Property of Carbon Nanotube-Reinforced Composite", J. Eng. Mater. Tech., ASME, 126, 250-270. https://doi.org/10.1115/1.1751182
  64. Sofiyevm, A.H. (2016), "Nonlinear free vibration of shear deformable orthotropic functionally
  65. Tan, P. and Tong, L. (2001), "Micro-electromechanics models for piezoelectric-fiberreinforced composite materials", Compos. Sci. Tech., 61, 759-769. https://doi.org/10.1016/S0266-3538(01)00014-8
  66. Torres-Jimenez, J. and Rodriguez-Cristerna, A. (2017), "Metaheuristic post-optimization of the NIST repository of covering arrays", CAAI Trans. Intell. Technol., 2, 31-38. https://doi.org/10.1016/j.trit.2016.12.006
  67. Wang, L. (2009), "A further study on the non-linear dynamics of simply supported pipes conveying pulsating fluid", Int. J. Nonlin. Mech., 44, 115-121. https://doi.org/10.1016/j.ijnonlinmec.2008.08.010
  68. Weaver, D.S. and Unny, T.E. (1973), "On the dynamic stability of fluid-conveying pipes", J. Appl. Mech., 40, 48-52. https://doi.org/10.1115/1.3422971
  69. Wen, Q., He, J., Guan, Sh., Chen, T., Hu, Y., Wu, W., Liu, F. and Qiao, Y. (2017), "The TripleSat constellation: a new geospatial data service model", Geo-spatial Inform. Sci., 20, 163-173. https://doi.org/10.1080/10095020.2017.1329266
  70. Wuite, J. and Adali, S. (2005), "Deflection and stress behaviour of nanocomposite reinforced beams using a multiscale analysis", Compos. Struct., 71, 388-396. https://doi.org/10.1016/j.compstruct.2005.09.011
  71. Yahia, S.A., Hassen, A.A., Houari, M.S.A. and Tounsi, A. (2015), "Wave propagation in functionally graded plates with porosities using various higher-order shear deformation plate theories", Struct. Eng. Mech., 53(6), 1143-1165. https://doi.org/10.12989/sem.2015.53.6.1143
  72. Yang, H. and Yu, L. (2017), "Feature extraction of wood-hole defects using wavelet-based ultrasonic testing", J. Forest. Res., 28, 395-402. https://doi.org/10.1007/s11676-016-0297-z
  73. Zamanian, M., Kolahchi, R. and Rabani Bidgoli, M. (2017), "Agglomeration effects on the buckling behaviour of embedded concrete columns reinforced with SiO2 nano-particles", Wind Struct., 24, 43-57. https://doi.org/10.12989/was.2017.24.1.043
  74. 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
  75. Zhao, B., Gao, L., Liao, W. and Zhang, B. (2017), "A new kernel method for hyperspectral image feature extraction", Geo-spatial Inform. Sci., 20, 309-318. https://doi.org/10.1080/10095020.2017.1403088
  76. 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