Steel and Composite Structures

  • 제49권3호
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  • Pages.325-335
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  • 2023
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  • 1229-9367(pISSN)
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  • 1598-6233(eISSN)
테크노프레스 (Techno-Press)
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DOI QR코드

DOI QR Code

Resonance behavior of functionally graded carbon nanotube-reinforced composites shells with spinning motion and axial motion

  • Jia-Qin Xu (College of Mechanical and Vehicle Engineering, Chongqing University) ;
  • Gui-Lin She (College of Mechanical and Vehicle Engineering, Chongqing University)
  • 투고 : 2022.09.23
  • 심사 : 2023.11.06
  • 발행 : 2023.11.10
⟨ 이전 논문 다음 논문 ⟩

초록

The missile is affected by both spinning and axial motion during its movement, which will have a very adverse impact on the stability and reliability of the missile. This paper regards missiles as cylindrical shell structures with spinning and axial motion. In this article, the forced vibration of carbon nanotube-reinforced composites (CNTRCs) cylindrical shells with spinning motion and axial motion is investigated, in which the clamped-clamped and simply-simply supported boundary conditions are considered. The displacement field is described by the first-order shear theory, and the vibration equation is deduced by using the Euler-Lagrange equation, after dimensionless processing, the dimensionless equation of motion is obtained. The correctness of this paper is verified by comparing with the results of the existing literature, in which the simply-simply supported ends are taken into account. In the end, the effects of different parameters such as spinning velocity, axial velocity, carbon nanotube volume fraction, length thickness ratio and load position on the resonance behavior of cylindrical shells are given. It can be found that these parameters can significantly change the resonance of axially moving and rotating moving CNTRCs cylindrical shells.

키워드

참고문헌

  1. Abdelrahman, A.A., Shanab, R.A., Esen, I. and Eltaher, M.A. (2022), "Effect of moving load on dynamics of nanoscale Timoshenko CNTs embedded in elastic media based on doublet mechanics theory", Steel. Compos. Struct., 44(2), 241-256. https://doi.org/10.12989/scs.2022.44.2.241.
  2. Abro, K.A. and Gomez-Aguilar, J.F. (2020), "Role of Fourier sine transform on the dynamical model of tensioned carbon nanotubes with fractional operator", Math. Method. Appl. Sci., https://doi.org/10.1002/mma.6655.
  3. Amar, L.H.H., Kaci, A., Yeghnem, R. and Tounsi, A. (2018), "A new four-unknown refined theory based on modified couplestress theory for size-dependent bending and vibration analysis of functionally graded micro-plate", Steel Compos. Struct., Int. J., 26(1), 89-102. http://dx.doi.org/10.12989/scs.2018.26.1.089.
  4. Arani, A.G., Kiani, Fand Afshari, H. (2021), "Free and forced vibration analysis of laminated functionally graded CNT-reinforced composite cylindrical panels", J. Sandw. Struct. Mater., 23(1), 255-278. https://doi.org/10.1177/1099636219830787.
  5. Babaei, H. (2022a). "Thermomechanical analysis of snap-buckling phenomenon in long FG-CNTRC cylindrical panels resting on nonlinear elastic foundation", Compos. Struct., 286, 115199. https://doi.org/10.1016/j.compstruct.2022.115199.
  6. Babaei, H. (2022b). "Free vibration and snap-through instability of FG-CNTRC shallow arches supported on nonlinear elastic foundation", Appl. Mathem. Comput., 413, 126606. https://doi.org/10.1016/j.amc.2021.126606
  7. Chen, X., Zhao, J.L., She, G.L., Jing, Y., Luo, J. and Pu, H.Y. (2022a), "On wave propagation of functionally graded CNT strengthened fluid-conveying pipe in thermal environment", Eur. Phys. J. Plus, 137(10), 1158. https://doi.org/10.1140/epjp/s13360-022-03234-0.
  8. Chen, X., Zhao, J.L., She, G.L., Jing, Y., Pu, H.Y. and Luo, J. (2022b), "Nonlinear free vibration analysis of functionally graded carbon nanotube reinforced fluid-conveying pipe in thermal environment", Steel. Compos. Struct., 45(5), 641-652. https://doi.org/10.12989/scs.2022.45.5.641.
  9. Cho, J.R. (2022), "Buckling analysis of functionally graded plates resting on elastic foundation by natural element method", Steel Compos. Struct., 44(2), 157-167. https://doi.org/10.12989/scs.2022.44.2.157.
  10. Civalek, O., Dastjerdi, S., Akbas, S.D. and Akgoz, B. (2021), "Vibration analysis of carbon nanotube-reinforced composite microbeams", Math. Method. Appl. Sci., https://doi.org/10.1002/mma.7069.
  11. Civalek, O., Uzun, B., Yayli, M.O. and Akgoz, B. (2020), "Size-dependent transverse and longitudinal vibrations of embedded carbon and silica carbide nanotubes by nonlocal finite element method", Eur. Phys. J. Plus, 135(4), 381. https://doi.org/10.1140/epjp/s13360-020-00385-w.
  12. Civalek, O., Dastjerdi, S., Akbas, S.D. and Akgoz, B. (2021), "Vibration analysis of carbon nanotube-reinforced composite microbeams", Math. Method. Appl. Sci., https://doi.org/10.1002/mma.7069.
  13. Ding, H.X. and She, G.L. (2023a), "Nonlinear resonance of axially moving graphene platelet-reinforced metal foam cylindrical shells with geometric imperfection", Archiv. Civil Mech. Eng., 23, 97. https://doi.org/10.1007/s43452-023-00634-6.
  14. Ding, H.X. and She, G.L. (2023b), "Nonlinear primary resonance behavior of graphene platelets reinforced metal foams conical shells under axial motion", Nonlinear Dyn., 111(15), 13723-13752. https://doi.org/10.1007/s11071-023-08564-x.
  15. Ding, H.X. and She, G.L. (2023c), "Nonlinear combined resonances of axially moving graphene platelets reinforced metal foams cylindrical shells under forced vibrations", Nonlinear Dyn., https://doi.org/10.1007/s11071-023-09059-5.
  16. Ding, H.X., Eltaher, M.A. and She, G.L. (2023a), "Nonlinear low-velocity impact of graphene platelets reinforced metal foams cylindrical shell: Effect of spinning motion and initial geometric imperfections", Aeros. Sci. Technol., 140, 108435. https://doi.org/10.1016/j.ast.2023.108435.
  17. Ding, H.X., Liu, H.B., She, G.L. and Wu, F. (2023c), "Wave propagation of FG-CNTRC plates in thermal environment using the high-order shear deformation plate theory", Comput. Concrete, 32(2), 207-215. https://doi.org/10.12989/cac.2023.32.2.207.
  18. Ding, H.X., She, G.L. and Zhang, Y.W. (2022a), "Nonlinear buckling and resonances of functionally graded fluid-conveying pipes with initial geometric imperfection", Eur. Phys. J. Plus, 137, 1329. https://doi.org/10.1140/epjp/s13360-022-03570-1.
  19. Ding, H.X., Zhang, Y.W. and She, G.L. (2022b), "On the resonance problems in FG-GPLRC beams with different boundary conditions resting on elastic foundations", Comput. Concrete, 30(6), 433-443. https://doi.org/10.12989/cac.2022.30.6.433.
  20. Ding, H.X., Zhang, Y.W. and She, G.L. (2023b), "Propagation characteristics of guided waves in CNTRCs plates resting on elastic foundations in a thermal environment", Waves Random Complex Media. https://doi.org/10.1080/17455030.2023.2235611.
  21. Dong, Y.H., He, L.W., Wang, L., Li, Y.H. and Yang, J. (2018), "Buckling of spinning functionally graded graphene reinforced porous nanocomposite cylindrical shells: Analytical study", Aerosp. Sci. Technol., 82-83, 466-478. https://doi.org/10.1016/j.ast.2018.09.037.
  22. Dong, Y.H., Li, X.Y., Gao, K., Li, Y.H. and Yang, J. (2020), "Harmonic resonances of graphene-reinforced nonlinear cylindrical shells: effects of spinning motion and thermal environment", Nonlinear. Dyn., 99(2), 981-1000. https://doi.org/10.1007/s11071-019-05297-8.
  23. Dong, Y.H., Zhu, B., Wang, Y.,Li, Y.H. and Yang, J. (2018), "Nonlinear free vibration of graded graphene reinforced cylindrical shells: Effects of spinning motion and axial load", J. Sound. Vib., 437, 79-96. https://doi.org/10.1016/j.jsv.2018.08.036.
  24. Ebrahimi, F., Hashemabadi, D., Habibi, M. and Safarpour, H. (2020), "Thermal buckling and forced vibration characteristics of a porous GNP reinforced nanocomposite cylindrical shell", Microsyst. Technol., 26(2), 461-473. https://doi.org/10.1007/s00542-019-04542-9.
  25. Eipakchi, H. and Nasrekani, F.M. (2022), "Nonlinear static analysis of composite cylinders with metamaterial core layer, adjustable Poisson's ratio, and non-uniform thickness", Steel Compos. Struct., 43(2), 241-256. https://doi.org/10.12989/scs.2022.43.2.241.
  26. Faleh, N.M. and Ahmed, R.A., and Fenjan, R.M. (2018), "On vibrations of porous FG nanoshells", Int. J. Eng. Sci., 13, 1-14. https://doi.org/10.1016/j.ijengsc ci.2018.08.007.
  27. Gan, L.L. and She, G.L. (2024), "Nonlinear low-velocity impact of magneto-electro-elastic plates with initial geometric imperfection", Acta Astronautica, 214, 11-29. https://doi.org/10.1016/j.actaastro.2023.10.016.
  28. Gan, L.L., Xu, J.Q. and She, G.L. (2023), "Wave propagation of graphene platelets reinforced metal foams circular plates", Struct. Eng. Mech., 85(5), 645-654. https://doi.org/10.12989/sem.2023.85.5.645.
  29. Hajilak, Z.E., Pourghader, J., Hashemabadi, D., Bagh, F.S., Habibi, M. and Safarpour, H. (2019), "Multilayer GPLRC composite cylindrical nanoshell using modified strain gradient theory", Mech. Based. Des. Struct., 47(5), 521-545. https://doi.org/ 10.1080/15397734.2019.1566743.
  30. Hendi, A., Eltaher, M.A, Mohamed, S.A. and Attia, M. (2022), "Nonlinear thermal vibration of pre/post-buckled two-dimensional FGM tapered microbeams based on a higher order shear deformation theory", Steel Compos. Struct., 41(6),787-802. http://doi.org/DOI10.12989/scs.2021.41.6.787.
  31. Li, H., Lv, H.Y., Sun, H., Qin, Z.Y., Xiong, J., Han, Q.K., Liu, JG. and Wang, X.P. (2021), "Nonlinear vibrations of fiber-reinforced composite cylindrical shells with bolt loosening boundary conditions", J. Sound. Vib., 496, 115935. https://doi.org/ 10.1016/j.jsv.2021.115935.
  32. Li, H.C., Pang, F.Z., Miao, X.H. and Li, Y.H. (2019), "Jacobi-Ritz method for free vibration analysis of uniform and stepped circular cylindrical shells with arbitrary boundary conditions: A unified formulation", Comput. Math. Appl.,77(2),427-440. https://doi.org/10.1016/j.camwa.2 018.09.046.
  33. Li, Y.P., She, G.L., Gan, L.L. and Liu, H.B (2023), "Nonlinear thermal post-buckling analysis of graphene platelets reinforced metal foams plates with initial geometrical imperfection", Steel Compos Struct., 46(5), 649-658. https://doi.org/10.12989/scs.2023.46.5.649.
  34. Liew, K.M., Ng, T.Y., Zhao, X. and Reddy, J.N. (2002), "Harmonic reproducing kernel particle method for free vibration analysis of rotating cylindrical shells", Comput. Meth. Appl. Mech. Eng., 191(37-38), 4141-4157. https://doi.org/10.1007/s11071-019-05297-8.
  35. Liu, Y.F., Qin, Z.Y. and Chu, F.L. (2021), "Nonlinear forced vibrations of FGM sandwich cylindrical shells with porosities on an elastic substrate", Nonlinear. Dyn., 104(2),1007-1021. https://doi.org/ 10.1007/s11071-021-06358-7.
  36. Loy, C.T., Lam, K.Y. and Shu, C. (1997), "Analysis of cylindrical shells using generalized differential quadrature", Shock Vib., 4(3),193-198. https://doi.org/10.1155/1997/538754.
  37. Lu, L., She, G.L. and Guo, X. (2021), "Size-dependent postbuckling analysis of graphene reinforced composite microtubes with geometrical imperfection", Int. J. Mech. Sci., 199, 106428. https://doi.org/10.1016/j.ijmecsci.2021.106428.
  38. Majidi-Mozafari, K., Bahaadini, R. and Saidi, A.R. (2021), "Aeroelastic flutter analysis of functionally graded spinning cylindrical shells reinforced with graphene nanoplatelets in supersonic flow", Mater. Res. Express., 8(11), 115012. https://doi.org/10.1088/2053-1591/ac2ce4.
  39. Melaibari, A., Daikh, A.A., Basha, M., Abdalla, A.W., Othman, R., Almitani, K.H., Hamed, M.A., Abdelrahman, A. and Eltaher, M.A. (2022a), "Free vibration of FG-CNTRCs nanoplates/shells with temperature-dependent properties", Mathematics., 10(4),583. https://doi.org/10.3390/math10040583.
  40. Melaibari, A., Daikh, A.A., Basha, M., Wagih, A., Othman, R., Almitani, K.H., Hamed, M.A., Abdelrahman, A. and Eltaher, M.A. (2022b), "A dynamic analysis of randomly oriented functionally graded carbon nanotubes/fiber-reinforced composite laminated shells with different geometries", Mathematics, 10(3), 408. https://doi.org/10.3390/math10030408.
  41. Mellouli, H., Jrad, H., Wali, M. and Dammak, F. (2020), "Free vibration analysis of FG-CNTRC shell structures using the meshfree radial point interpolation method", Comput. Math. Appl., 79(11), 3160-3178. https://doi.org/10.1016/j.camwa.2020.01.015.
  42. Mirjavadi, S.S., Forsat, M., Barati, M.R. and Hamouda, A.M. (2021), "Investigating nonlinear vibrations of multi-scale truncated conical shell segments with carbon nanotube/fiberglass reinforcement using a higher order conical shell theory", J. Strain. Anal. Eng., 56(3),181-192. https://doi.org/10.1 177/0309324720939811. https://doi.org/10.1177/0309324720939811
  43. Niu, Y., Zhang, W. and Guo, X.Y. (2019), "Free vibration of rotating pretwisted functionally graded composite cylindrical panel reinforced with graphene platelets", Eur. J. Mech. A-Solid., 77, 103798. https://doi.org/10.1016/j.euromechso1.2019.103798.
  44. Patnaik, S.S. and Roy, T. (2021), "Vibration characteristics and damping properties of functionally graded carbon nanotubes reinforced hybrid composite skewed shell structures under hygrothermal conditions", J. Vib. Control., 27(21-22), 2494-251, 1077546320961718. https://org/10.1177/1077546320961718.
  45. Pinnola, F.P., Vaccaro, M.S., Barretta, R., Francesco, M., and Ruta, G. (2022), "Elasticity problems of beams on reaction-driven nonlocal foundation", Archive Appl. Mech., 1-31. http://doi.org/10.1007/s00419-022-02161-x.
  46. Qin, Z.Y., Pang, X.J., Safaei, B. and Chu, F.L. (2019) "Free vibration analysis of rotating functionally graded CNT reinforced composite cylindrical shells with arbitrary boundary conditions", Compos. Struct., 220, 847-860. https://doi.org/10.1016/j.compstruct.2019.04.046.
  47. Rahimi, A., Alibeigloo, A. and Safarpour, M. (2020), "Three-dimensional static and free vibration analysis of graphene platelet-reinforced porous composite cylindrical shell", J. Vib. Control., 26(19-20), 1627-1645. https://doi.org/10.1177/1077546320902340.
  48. She, G.L. (2021), "Guided wave propagation of porous functionally graded plates: The effect of thermal loadings", J. Therm. Stresses, 44(10), 1289-1305. https://doi.org/10.1080/01495739.2021.1974323.
  49. She, G.L. and Ding, H.X. (2023), "Nonlinear primary resonance analysis of initially stressed graphene platelet reinforced metal foams doubly curved shells with geometric imperfection", Acta Mech. Sin., 39, 522392. https://doi.org/10.1007/s10409-022-22392-x.
  50. She, G.L. and Li, Y.P. (2022), "Wave propagation in an FG circular plate in thermal environment", Geomech. Eng., 31(6), 615-622. https://doi.org/10.12989/gae.2022.31.6.615.
  51. Shokrgozar, A., Ghabussi, A., Ebrahimi, F., Habibi, M. and Safarpour, H. (2022), "Viscoelastic dynamics and static responses of a graphene nanoplatelets-reinforced composite cylindrical microshell", Mech. Based. Des. Struct., 50(2), 509-536. https://doi.org/10.1080/15397734.2020.1719509.
  52. Song, J.P. and She, G.L. (2023), "Nonlinear resonance of axially moving GPLRMF plates with different boundary conditions", Struct. Eng. Sci., 86(3), 361-371. https://doi.org/10.12989/sem.2023.86.3.361.
  53. Thang, P.T., Duc, N.D. and Nguyen-Thoi, T. (2017), "Thermomechanical buckling and post-buckling of cylindrical shell with functionally graded coatings and reinforced by stringers", Aerosp. Sci. Technol., 66, 392-401. https://doi.org/10.1016/j.ast.2017.03.023.
  54. Thang, P.T., Thoi, T.N. and Lee, J. (2019), "Closed-form solution for nonlinear buckling analysis of FG-CNTRC cylindrical shells with initial geometric imperfections", Eur. J. Mech. A-solid, 73, 483-491. https://doi.org/10.1016/j.e uromechsol.2018.10.008.
  55. Wang, Y.Q., Ye, C. and Zu, J.W. (2019), "Nonlinear vibration of metal foam cylindrical shells reinforced with graphene platelets", Aerosp. Sci. Technol., 85, 359-370. https://doi.org/10.1016/j.ast.2018.12.022.
  56. Xi, F. (2022), "Vibrational characteristics of sandwich annular plates with damaged core and FG face sheets", Steel Compos. Struct., 44(1), 65-79. https://doi.org/10.12989/scs.2022.44.1.065.
  57. Xu, J.Q. and She, G.L. (2022), "Thermal post-buckling analysis of porous functionally graded pipes with initial geometric imperfection", Geomech. Eng., 31(3), 329-337. https://doi.org/10.12989/gae.2022.31.3.329.
  58. Xu, J.Q. and She, G.L. (2023a), "Thermal post-buckling of graphene platelet reinforced metal foams doubly curved shells with geometric imperfection", Struct. Eng. Mech., 87(1), 85-94. https://doi.org/10.12989/sem.2023.87.1.085.
  59. Xu, J.Q. and She, G.L. (2023b), "The effects of temperature and porosity on resonance behavior of graphene platelet reinforced metal foams doubly-curved shells with geometric imperfection", Geomech. Eng., 35(1), 81-93. https://doi.org/10.12989/gae.2023.35.1.081.
  60. Xu, J.Q., She, G.L., Li. Y.P. and Gan, L.L. (2023), "Nonlinear resonances of nonlocal strain gradient nanoplates made of functionally graded materials considering geometric imperfection", Steel Compos. Struct., 47(6), 795-811. https://doi.org/10.12989/scs.2023.47.6.795.
  61. Ye, C. and Wang, Y.Q. (2021), "Nonlinear forced vibration of functionally graded graphene platelet-reinforced metal foam cylindrical shells: internal resonances", Nonlinear. Dyn., 104(3), 2051-2069. https://doi.org/10.1007/s11071-021-06401-7.
  62. Wu, F. and She, G.L. (2023), "Wave propagation in double nanobeams in thermal environments using the Reddy's high-order shear deformation theory", Adv. Nano Res., 14(6), 495-506. https://doi.org/10.12989/anr.2023.14.6.495.
  63. Zenkour, A.M. and Radwan, A.F. (2019), "Bending response of FG plates resting on elastic foundations in hygro thermal environment with porosities", Compos. Struct., 213, 133-143. https://doi.org/10.1016/j.compstruct.2019.01.065.
  64. Zhang, Y.W. and She, G.L. (2022), "Wave propagation and vibration of FG pipes conveying hot fluid", Steel. Compos, Struct., 42(3) 397-405. https://doi.org/10.12989/scs.2022.42.3.397.
  65. Zhang, Y.W. and She, G.L. (2023a), "Nonlinear low-velocity impact response of graphene platelet-reinforced metal foam cylindrical shells under axial motion with geometrical imperfection", Nonlinear Dyn., 111(7), 6317-6334. https://doi.org/10.1007/s11071-022-08186-9.
  66. Zhang, Y.W. and She, G.L. (2023b), "Nonlinear primary resonance of axially moving functionally graded cylindrical shells in thermal environment", Mech. Adv. Mater. Struct., https://doi.org/10.1080/15376494.2023.2180556.
  67. Zhang, Y.W., Ding, H.X. and She, G.L. (2022), "Snap-buckling and resonance of functionally graded graphene reinforced composites curved beams resting on elastic foundations in thermal environment", J. Therm. Stresses, 45(12), 1029-1042. https://doi.org/10.1080/01495739.2022.2125137.
  68. Zhang, Y.W., Ding, H.X. and She, G.L. (2023a), "Wave propagation in spherical and cylindrical panels reinforced with carbon nanotubes", Steel Compos. Struct., 46(1), 133-141. https://doi.org/10.12989/scs.2023.46.1.133.
  69. Zhang, Y.W., Ding, H.X., She, G.L. and Tounsi, A. (2023d), "Wave propagation of CNTRC beams resting on elastic foundation based on various higher-order beam theories", Geomech. Eng., 33(4), 381-391. https://doi.org/10.12989/gae.2023.33.4.381.
  70. Zhang, Y.W., She, G.L. and Eltaher, M.A. (2023d), "Nonlinear transient response of graphene platelets reinforced metal foams annular plate considering rotating motion and initial geometric imperfection", Aeros. Sci. Technol., 142, 108693. https://doi.org/10.1016/j.ast.2023.108693.
  71. Zhang, Y.W., She, G.L. and Ding, H.X. (2023b), "Nonlinear resonance of graphene platelets reinforced metal foams plates under axial motion with geometric imperfections", Eur. J. Mech. A-Solid, 98, 104887. https://doi.org/10.1016/j.euromechsol.2022.104887.
  72. Zhang, Y.W., She, G.L., Gan, L.L. and Li, Y.P. (2023c), "Thermal post-buckling behavior of GPLRMF cylindrical shells with initial geometrical imperfection", Geomech. Eng., 32(6), 615-625. https://doi.org/10.12989/gae.2023.32.6.615.
  73. Zhang, Y.Y., Wang, X.Y., Zhang, X., Shen, H.M. and She, G.L. (2021), "On snap-buckling of FG-CNTRC curved nanobeams considering surface effects", Steel Compos. Struct., 38(3), 293-304. https://doi.org/10.12989/scs.2021.38.3.293.
  74. Zhao, J.L., Chen, X., She, G.L., Jing, Y., Bai, R.Q., Yi, J., Pu, H.Y. and Luo, J. (2022a), "Vibration characteristics of functionally graded carbon nanotube-reinforced composite double-beams in thermal environments", Steel. Compos. Struct., 43(6), 797-808. https://doi.org/10.12989/scs.2022.43.6.797.