Structural Engineering and Mechanics

  • 제64권4호
  • /
  • Pages.515-526
  • /
  • 2017
  • /
  • 1225-4568(pISSN)
  • /
  • 1598-6217(eISSN)
테크노프레스 (Techno-Press)
권호 표지
DOI QR코드

DOI QR Code

Moving load induced dynamic response of functionally graded-carbon nanotubes-reinforced pipes conveying fluid subjected to thermal load

  • Tahami, F. Vakili (Faculty of Mechanical Engineering, University of Tabriz) ;
  • Biglari, H. (Faculty of Mechanical Engineering, University of Tabriz) ;
  • Raminnea, M. (Faculty of Mechanical Engineering, University of Tabriz)
  • 투고 : 2017.06.19
  • 심사 : 2017.09.12
  • 발행 : 2017.11.25
⟨ 이전 논문 다음 논문 ⟩

초록

Dynamic response of functionally graded Carbon nanotubes (FG-CNT) reinforced pipes conveying viscous fluid under accelerated moving load is presented. The mixture rule is used for obtaining the material properties of nano-composite pipe. The radial force induced by viscous fluid is calculated by Navier-Stokes equation. The material properties of pipe are considered temperature-dependent. The structure is simulated by Reddy higher-order shear deformation shell theory and the corresponding motion equations are derived by Hamilton's principal. Differential quadrature (DQ) method and the Integral Quadrature (IQ) are applied for analogizing the motion equations and then the Newmark time integration scheme is used for obtaining the dynamic response of structure. The effects of different parameters such as boundary conditions, geometrical parameters, velocity and acceleration of moving load, CNT volume percent and distribution type are shown on the dynamic response of pipe. Results indicate that increasing CNTs leads to decrease in transient deflection of structure. In accelerated motion of the moving load, the maximum displacement is occurred later with respect to decelerated motion of moving load.

키워드

참고문헌

  1. Attar, M., Karrech, A. and egenauer-LieK, R. (2015), "Dynamic response of cracked Timoshenko beams on elastic foundations under moving harmonic loads", J. Vib. Control, 20: 1077546315580470.
  2. Bayat, M.R., Rahmani, O. and Mosavi Mashhadi, M. (2016), "Nonlinear Low-Velocity Impact Analysis of Functionally Graded Nanotube-Reinforced Composite Cylindrical Shells in Thermal Environments", Polymer Compos., In press.
  3. Bespalova, E.I., (2007), "Reaction of an anisotropic cylindrical shell to a moving load", Int. J. Appl. Mech., 43: 425-31. https://doi.org/10.1007/s10778-007-0039-1
  4. Castro Jorge, P., Simoes, F.M.F. and Pinto da Costa, A. (2015), "Dynamics of beams on non-uniform nonlinear foundations subjected to moving loads", Comput. Struct., 148: 24-34.
  5. Gbadeyan, J.A. and Dada, M.S. (2011), "A comparison of dynamic responses of three versions of moving load problem involving elastic rectangular plates", J. Vib. Control, 17: 903-915 https://doi.org/10.1177/1077546310377910
  6. Chen, J.S. and Tsai, S.M. (2016), "Sandwich structures with periodic assemblies on elastic foundation under moving loads", J. Vib. Control, 22: 2519-2529. https://doi.org/10.1177/1077546314548470
  7. Chonan, S. (1981), "Moving load on a two-layered cylindrical shell with imperfect bonding", The J. Acoust. Soc. Americ., 69: 1015-20. https://doi.org/10.1121/1.385681
  8. Ding, L., Zhu, H.P. and Wu, L. (2016), "Effects of axial load and structural damping on wave propagation in periodic Timoshenko beams on elastic foundations under moving loads", Phys. Lett. A, 380: 2335-2341. https://doi.org/10.1016/j.physleta.2016.05.023
  9. Eftekhari, S.A. and Jafari, A.A. (2012), "Vibration of an initially stressed rectangular plate due to an accelerated traveling mass", Scient. Iran. A, 19: 1195-1213. https://doi.org/10.1016/j.scient.2012.07.008
  10. Eftekhari, S.A. (2016), "Differential quadrature procedure for in-plane vibration analysis of variable thickness circular arches traversed by a moving point load", Appl. Math. Model, 40: 4640-4663. https://doi.org/10.1016/j.apm.2015.11.046
  11. Ghafoori, E. and Asghari, M. (2010), "Dynamic analysis of laminated composite plates traversed by a moving mass based on a first-order theory", Compos. Struct., 92: 1865-76. https://doi.org/10.1016/j.compstruct.2010.01.011
  12. He, W.Y. and Zhu, S. (2016), "Moving load-induced response of damaged beam and its application in damage localization", J. Vib. Control, 22: 3601-3617. https://doi.org/10.1177/1077546314564587
  13. Huang, C.C. (1976), "Moving loads on elastic cylindrical shells", J. Sound Vib., 49: 215-20 https://doi.org/10.1016/0022-460X(76)90497-1
  14. Huang, C.S., Tseng, Y.P. and Hung, C.L. (2000), "An accurate solution for the responses of circular curved beams subjected to a moving load", Int. J. Numeric. Meth. Eng., 48: 1723-1740. https://doi.org/10.1002/1097-0207(20000830)48:12<1723::AID-NME965>3.0.CO;2-J
  15. Kaur, T., Singh, A.K., Chattopadhyay, A. and Sharma, S.K. (2016), "Dynamic response of normal moving load on an irregular fiber-reinforced half-space", J. Vib. Control, 22: 77-88. https://doi.org/10.1177/1077546314528525
  16. 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
  17. 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
  18. Law, S.S., Bu, J.Q., Zhu, X.Q. and Chan, S.L. (2007), "Moving load identification on a simply supported orthotropic plate", Int. J. Mech. Sci., 49: 1262-1275. https://doi.org/10.1016/j.ijmecsci.2007.03.005
  19. 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
  20. Malekzadeh, P. and Heydarpour, Y. (2012), "Response of functionally graded cylindrical shells under moving thermo-mechanical loads", Thin-Wall. Struct, 58: 51-66. https://doi.org/10.1016/j.tws.2012.04.010
  21. Malekzadeh, P. and Monajjemzadeh, S.M. (2013), "Dynamic response of functionally graded plates in thermal environment under moving load", Compos.: Part B, 45: 1521-33. https://doi.org/10.1016/j.compositesb.2012.09.022
  22. Malekzadeh, P. and Daraie, M. (2014), "Dynamic analysis of functionally graded truncated conical shells subjected to asymmetric moving loads", Thin-Wall. Struct., 84: 1-13. https://doi.org/10.1016/j.tws.2014.05.007
  23. Panneton, R., Berry, A. and Laville, F. (1995), "Vibration and sound radiation of a cylindricalshell under a circumferentially moving load",. The J. Acoust. Soc. Americ., 98: 2165-73. https://doi.org/10.1121/1.413331
  24. Raminnea, M., Biglari, H. and Vakili Tahami, F. (2016), "Nonlinear higher order Reddy theory for temperaturedependent vibration and instability of embedded functionally graded pipes conveying fluid-nanoparticle mixture", Struct. Eng. Mech., 59: 153-186. https://doi.org/10.12989/sem.2016.59.1.153
  25. 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
  26. Ruzzene, M. and Baz, A, (2006), "Dynamic stability of periodic shells with moving loads", J. Sound Vib., 296: 830-44. https://doi.org/10.1016/j.jsv.2006.03.008
  27. Sadeghi, M.H. and Karimi-Dona, M.H. (2011), "Dynamic behavior of afluid conveying pipe subjected to a moving sprung masse An FEM-state space approach", Int. J. Press. Vess. Pip., 88: 123e131. https://doi.org/10.1016/j.ijpvp.2011.02.004
  28. Sheng, C.X. (1985), "Forced vibrations of elastic shallow shell due to the moving mass", Appl. Math. Mech., 6: 231-8.
  29. Sheng, G.G. and Wang, X. (2009), "Studies on dynamic behavior of functionally graded cylindrical shells with PZT layers under moving loads", J. Sound Vib., 323: 772-789. https://doi.org/10.1016/j.jsv.2009.01.017
  30. Sheng, G.G. and Wang, X. (2010), "Response and control of functionally graded laminated piezoelectric shells under thermal shock and moving loadings", Compos. Struct., 93: 132-41. https://doi.org/10.1016/j.compstruct.2010.06.007
  31. Shu, C., Chew, Y.T. and Richards, E. (1995), "Generalized differential and integral quadrature and their application to solve boundary layer equations" Int. J. Numeric. Meth. Fluids, 21: 723-733. https://doi.org/10.1002/fld.1650210903
  32. Simsek, M. and Kocaturk, T., (2009), "Nonlinear dynamic analysis of an eccentrically prestressed damped beam under a concentrated moving harmonic load", J. Sound Vib., 320: 235-253. https://doi.org/10.1016/j.jsv.2008.07.012
  33. Sing, V.P., Dwivedi, J.P. and Upahyay, P.C. (1999), "Non-axisymmetric dynamic response of buried orthotropic cylindrical shells under moving load", Struct. Eng. Mech., 8: 39-51. https://doi.org/10.12989/sem.1999.8.1.039
  34. Sofiyev, A.H. (2010), "Dynamic response of an FGM cylindrical shell under moving loads", Compos. Struct, 93: 58-66. https://doi.org/10.1016/j.compstruct.2010.06.015
  35. Song, Q., Shi, J., Liu, Z. and Wan, Y. (2016), "Dynamic analysis of rectangular thin plates of arbitrary boundary conditions under moving loads", Int. J. Mech. Sci., 117: 16-29. https://doi.org/10.1016/j.ijmecsci.2016.08.005
  36. Sudheesh Kumar, C.P., Sujath, C. and Shankar, K. (2015), "Vibration of simply supported beams under a single moving load: A detailed study of cancellation phenomenon", Int. J. Mech. Sci., 99: 40-47. https://doi.org/10.1016/j.ijmecsci.2015.05.001
  37. Wang, D., Zhang, W. and Zhu, J. (2016), "A moving bounds strategy for the parameterization of geometric design variables in the simultaneous shape optimization of curved shell structures and openings", Finite Elem. Anal. Des., 120: 80-9. https://doi.org/10.1016/j.finel.2016.07.002
  38. Wang, Y. and Wu, D. (2016), "Thermal effect on the dynamic response of axially functionally graded beam subjected to a moving harmonic load", Acta Astronaut., 127: 17-181.
  39. Wu, J.S., Lee, M.L. and Lai, T.S. (1987), "The dynamic analysis of a flat plate under a moving load by the finite element method", Int. J. Numeric. Meth. Eng., 24: 743-762. https://doi.org/10.1002/nme.1620240407
  40. Wu, J.S. and Chen, C.C. (1989), "The dynamic analysis of a suspended cable due to a moving load", Int. J. Numeric. Meth. Eng., 28: 2361-2381. https://doi.org/10.1002/nme.1620281011
  41. Yang, J., Chen, Y., Xiang, Y. and Jia, X.L. (2008), "Free and forced vibration of a cracked FGM beam under an axial force and a moving load, J. Sound Vib., 312: 166-181. https://doi.org/10.1016/j.jsv.2007.10.034
  42. Yu, D., Wen, J., Shen, H. and Wen, X. (2012), "Propagation of steady-state vibration in periodic pipes conveying fluid on elastic foundations with external moving loads", Phys. Lett. A, 376: 3417-3422. https://doi.org/10.1016/j.physleta.2012.09.041
  43. Zhu, X.Q. and Law, S.S. (2003), "Dynamic behavior of orthotropic rectangular plates under moving loads", J. Eng. Mech., 129: 79-87. https://doi.org/10.1061/(ASCE)0733-9399(2003)129:1(79)

피인용 문헌

  1. Nonlinear vibration and stability of FG nanotubes conveying fluid via nonlocal strain gradient theory vol.78, pp.1, 2021, https://doi.org/10.12989/sem.2021.78.1.103