Steel and Composite Structures

Techno-Press (테크노프레스)
권호 표지
DOI QR코드

DOI QR Code

A nonlocal system for the identification of active vibration response of chiral double walled CNTs

  • Alghamdi, Sami (Electrical and Computer Engineering Department King Abdulaziz, University) ;
  • Hussain, Muzamal (Department of Mathematics, Govt. College University Faisalabad) ;
  • Khadimallah, Mohamed A. (Prince Sattam Bin Abdulaziz University, College of Engineering, Civil Engineering Department) ;
  • Asghar, Sehar (Department of Mathematics, Govt. College University Faisalabad) ;
  • Ghandourah, Emad (Department of Nuclear Engineering, Faculty of Engineering, King Abdulaziz University) ;
  • Alzahrani, Ahmed Obaid M. (Center of Nanotechnology, King Abdulaziz University) ;
  • Alzahrani, M.A. (Mechanical Engineering Department, Faculty of Science, King Abdulaziz, University)
  • Received : 2021.03.16
  • Accepted : 2022.01.18
  • Published : 2022.02.10
⟨ Previous Next ⟩

Abstract

In this study, an estimation regarding nonlocal shell model based on wave propagation approach has been considered for vibrational behavior of the double walled carbon nanotubes with distinct nonlocal parameters. Vibrations of double walled carbon nanotubes for chiral indices (8, 3) have been analyzed. The significance of small scale is being perceived by developing nonlocal Love shell model. The influence of changing mechanical parameter Poisson's ratio has been investigated in detail. The dominance of boundary conditions via nonlocal parameter is shown graphically. It is found that on increasing the Poisson's ratio, the frequencies increases. It is noted that the frequencies of clamped-clamped frequencies are higher than that of simply-supported and clamped-free edge conditions. The outcomes of frequencies are tested with earlier computations.

Keywords

Acknowledgement

This research work was supported by the Deanship of Scientific Research at King Abdul Aziz University under Grant number G:529-135-1442.

References

  1. Akbas, S.D. (2016a), "Forced vibration analysis of viscoelastic nanobeams embedded in an elastic medium", Smart Struct. Syst., 18(6), 1125-1143. https://doi.org/10.12989/sss.2016.18.6.1125.
  2. Akbas, S.D. (2016b), "Analytical solutions for static bending of edge cracked micro beams", Struct. Eng. Mech., 59(3), 579-599. https://doi.org/10.12989/sem.2016.59.3.579.
  3. Akbas, S.D. (2017a), "Free vibration of edge cracked functionally graded microscale beams based on the modified couple stress theory", Int. J. Struct. Stab. Dyn., 17(03), 1750033. https://doi.org/10.1142/S021945541750033X.
  4. Akbas, S.D. (2017b), "Forced vibration analysis of functionally graded nanobeams", Int. J. Appl. Mech., 9(07), 1750100. https://doi.org/10.1142/S1758825117501009.
  5. Akbas, S.D. (2018), "Forced vibration analysis of cracked nanobeams", J. Brazil. Soc. Mech. Sci. Eng., 40(8), 1-11. https://doi.org/10.1007/s40430-018-1315-1.
  6. Akbas, S.D. (2018a), "Forced vibration analysis of cracked functionally graded microbeams", Adv. Nano Res., 6(1), 39. https://doi.org/10.12989/anr.2018.6.1.039.
  7. Akbas, S.D. (2018b), "Bending of a cracked functionally graded nanobeam", Adv. Nano Res., 6(3), 219. http://doi.org/10.12989/anr.2018.6.3.219.
  8. Akbas, S.D. (2019), "Axially forced vibration analysis of cracked a nanorod", J. Comput. Appl. Mech., 50(1), 63-68. http://doi.org/10.22059/jcamech.2019.281285.392.
  9. Akbas, S.D. (2020), "Modal analysis of viscoelastic nanorods under an axially harmonic load", Adv. Nano Res., 8(4), 277. https://doi.org/10.12989/anr.2020.8.4.277.
  10. Ansari, R. and Arash, B. (2013), "Nonlocal Flugge shell model for vibrations of double-walled carbon nanotubes with different boundary conditions", J. Appl. Mech., 80(2), 021006. https://doi.org/10.1115/1.4007432.
  11. Ansari, R. and Rouhi, H. (2013), "Nonlocal analytical Flugge shell model for the vibrations of double-walled carbon nanotubes with different end conditions", Int. J. Appl. Mech., 80(2), 021006. https://doi.org/10.1142/S179329201250018X.
  12. Arani, Jafarian A. and Kolahchi R. (2016), "Buckling analysis of embedded concrete columns armed with carbon nanotubes", Comput Concr., 17(5), 567-578. https://doi.org/10.12989/cac.2016.17.5.567.
  13. Avcar, M. (2019), "Free vibration of imperfect sigmoid and power law functionally graded beams", Steel Compos. Struct., 30(6), 603-615. https://doi.org/10.12989/scs.2019.30.6.603.
  14. Benguediab, S., Tounsi, A., Zidour, M. and Semmah, A. (2014), "Chirality and scale effects on mechanical and buckling properties of zigzag double-walled carbon nanotubes", Composites Part B, 57, 21-24. https://doi.org/10.1016/j.compositesb.2013.08.020.
  15. Bilouei, Safari B, Kolahchi, R. and Bidgoli, M.R. (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.
  16. Brischotto, S. (2015), "A continuum shell model including van der Waals interaction for free vibrations of double-walled carbon nanotubes", CMES, 104, 305-327.
  17. Civalek, O. (2020), "Vibration of functionally graded carbon nanotube reinforced quadrilateral plates using geometric transformation discrete singular convolution method", Int. J. Numer. Meth. Eng., 121(5), 990-1019. https://doi.org/10.1002/nme.6254.
  18. Civalek, O. and Jalaei, M.H. (2020), "Buckling of carbon nanotube (CNT)-reinforced composite skew plates by the discrete singular convolution method", Acta Mechanica, 231(6), 2565-2587. https://doi.org/10.1007/s00707-020-02653-3.
  19. Elshabasy, M.M. and Kouritem, S.A. (2020), "Thickening of optimally selected locations on panels subjected to unyawed flow for substantial delay of the panel flutter", Alexandria Eng. J., 59(6), 5031-5044. https://doi.org/10.1016/j.aej.2020.09.026.
  20. Eringen, A.C. (2002), Nonlocal Continuum Field Theories, Springer Science & Business Media.
  21. Fazilati, J. (2018), "Stability of tow-steered curved panels with geometrical defects using higher order FSM", Steel Compos. Struct., 28(1), 25-37. https://doi.org/10.12989/scs.2018.28.1.025.
  22. Flugge, S. (1973), Stresses in Shells, Springer, Berlin.
  23. Gao, S., Peng, Z., Wang, X. and Liu, J. (2019), "Compressive behavior of circular hollow and concrete-filled steel tubular stub columns under atmospheric corrosion", Steel Compos. Struct., 33(4), 615-627. https://doi.org/10.12989/scs.2019.33.4.615.
  24. Gao, Y. and An, L. (2010), "A nonlocal elastic anisotropic shell model for microtubule buckling behaviors in cytoplasm", Physica E: Low-dimensional Syst. Nanostruct., 42(9), 2406-2415. https://doi.org/10.1016/j.physe.2010.05.022.
  25. Ghavanloo, E., Daneshmand, F. and Rafiei, M. (2010), "Vibration and instability analysis of carbon nanotubes conveying fluid and resting on a linear viscous elastic Winkler foundation", Physica E, 42, 2218-2224. https://doi.org/10.1016/j.physe.2010.04.024.
  26. Gibson, R.F., Ayorinde, E.O. and Wen, Y.F. (2007), "Vibrations of carbon nanotubes and their composites: a review", Compos. Sci. Technol., 67(1), 1-28. https://doi.org/10.1016/j.compscitech.2006.03.031.
  27. Gupta, S.S., Bosco, F.G. and Batra, R.C. (2010), "Wall thickness and elastic moduli of single-walled carbon nanotubes from frequencies of axial, torsional and inextensional modes of vibration", Comput. Mater. Sci., 47(4), 1049-1059. https://doi.org/10.1016/j.commatsci.2009.12.007.
  28. He, X.Q., Kitipornchai, S. and Liew, K.M. (2005), "Buckling analysis of multi-walled carbon nanotubes: a continuum model accounting for van der Waals interaction", J. Mech. Phys. Solids, 53, 303-326. https://doi.org/10.1016/j.jmps.2004.08.003.
  29. Heydarpour, Y., Aghdam, M.M. and Malekzadeh, P. (2014), "Free vibration analysis of rotating functionally graded carbon nanotube-reinforced composite truncated conical shells", Compos. Struct., 117, 187-200. https://doi.org/10.1016/j.compstruct.2014.06.023.
  30. Hu, Y.G., Liew, K.M., Wang, Q., He, X.Q. and Yakobson, B.I. (2008), "Nonlocal shell model for elastic wave propagation in single- and double-walled carbon nanotubes", J. Mech. Phy. Solids, 56, 3475-3485. https://doi.org/10.1016/j.jmps.2008.08.010.
  31. Hussain, M., Naeem., M.N., Shahzad, A. and He, M. (2017), "Vibrational behavior of single-walled carbon nanotubes based on cylindrical shell model using wave propagation approach", AIP Adv., 7(4), 045114. https://doi.org/10.1063/1.4979112.
  32. Jafari, S. (2018), "Engineering applications of carbon nanotubes", Carbon Nanotube-Reinforced Polymers, 25-40. https://doi.org/10.1016/B978-0-323-48221-9.00002-9.
  33. Kouritem, S.A. and Elshabasy, M.M. (2021), "Tailoring the panel inertial and elastic forces for the flutter and stability characteristics enhancement using copper patches", Compos. Struct., 274, 114311. https://doi.org/10.1016/j.compstruct.2021.114311.
  34. Kroner, E. (1967), "Elasticity theory of materials with long range cohesive forces", Int. J. Solids Struct., 3(5), 731-742. https://doi.org/10.1016/0020-7683(67)90049-2.
  35. Lam, K.Y. and Loy, C.T. (1994), "On vibrations of thin rotating laminated composite cylindrical shells", Compos. Eng., 4(11), 1153-1167. https://doi.org/10.1016/0961-9526(95)91289-S.
  36. Loy, C.T., Lam, K.Y. and Reddy, J.N. (1999), "Vibration of functionally graded cylindrical shells", Int. J. Mech. Sci., 41, 309-324. https://doi.org/10.1016/S0020-7403(98)00054-X.
  37. Madani, H., Hosseini, H. and Shokravi, M. (2016), "Differential cubature method for vibration analysis of embedded FG-CNTreinforced piezoelectric cylindrical shells subjected to uniform and non-uniform temperature distributions", Steel Compos. Struct., 22(4), 889-913. https://doi.org/10.12989/scs.2016.22.4.889.
  38. Narendar, S. (2011), "Terahertz wave propagation in uniform nanorods: A nonlocal continuum mechanics formulation including the effect of lateral inertia", Physica E, 43, 1015-1020. https://doi.org/10.1016/j.physe.2010.12.004.
  39. Natsuki, T., Qing, Q.N. and Morinobu, E. (2007), "Wave propagation in single-walled and double-walled carbon nanotubes filled with fluids", J. Appl. Phys., 101(3), 034319-034319-5. https://doi.org/10.1063/1.2432025.
  40. Paliwal, D.N., Kanagasabapathy, H. and Gupta, K.M. (1995), "The large deflection of an orthotropic cylindrical shell on a Pasternak foundation", Compos. Struct., 31(1), 31-37. https://doi.org/10.1016/0263-8223(94)00068-9.
  41. Peddieson, J., Buchanan, G.R. and McNitt, R.P. (2003), "Application of Nonlocal Continuum Models to Nanotechnology", Int. J. Eng. Sci., 41(3-5), 305-312. https://doi.org/10.1016/S0020-7225(02)00210-0.
  42. Rouhi, H., Ansari, R. and Arash, B. (2012), "Vibration analysis of double-walled carbon nanotubes based on the non-local donnell shell via a new numerical approach", Int. J. Mech. Sci., 37, 91-105. https://doi.org/10.1016/0020-7403(94)00042-I
  43. Safeer, M., Taj, M. and Abbas, S.S. (2019), "Effect of viscoelastic medium on wave propagation along protein microtubules", AIP Adv., 9(4), 045108. https://doi.org/10.1016/0263-8223(94)00068-9.
  44. Selmi, A. (2019), "Effectiveness of SWNT in reducing the crack effect on the dynamic behavior of aluminium alloy", Adv. Nano Res., 7(5), 365-377. https://doi.org/10.12989/anr.2019.7.5.365.
  45. Selmi, A. and Bisharat, A. (2018), "Free vibration of functionally graded SWNT reinforced aluminum alloy beam", J. Vibroeng., 20(5), 2151-2164. https://doi.org/10.21595/jve.2018.19445.
  46. Selmi, A., Friebel, C., Doghri, I. and Hassis, H. (2007), "Prediction of the elastic properties of single walled carbon nanotube reinforced polymers: A comparative study of several micromechanical models", Compos. Sci. Technol., 67(10), 2071-2084. https://doi.org/10.1016/j.compscitech.2006.11.016.
  47. Selmi, A., Hassis, H., Zenzri, H. and Doghri, I. (2014), "A Cosserat-type plate theory and its application to carbon nanotube microstructure", Amer. J. Appl. Sci., 11(8), 1255. https://doi.org/10.3844/ajassp.2014.1255.1273.
  48. Simsek, M. (2010), "Vibration analysis of a single-walled carbon nanotube under action of a moving harmonic load based on nonlocal elasticity theory", Physica E, 43, 182-191. https://doi.org/10.12989/scs.2011.11.1.059.
  49. Simsek, M. (2011), "Forced vibration of an embedded single-walled carbon nanotube traversed by a moving load using nonlocal Timoshenko beam theory", Steel Compos. Struct., 11(1), 59-76. https://doi.org/10.12989/scs.2011.11.1.059.
  50. Soldatos, K.P. (1984), "A comparison of some shell theories used for the dynamic analysis of cross-ply laminated circular cylindrical panels", J. Sound Vib., 97, 305-319. https://doi.org/10.1016/0022-460X(84)90324-9.
  51. Sun, S., Cao, D. and Chu, S. (2013), "Free vibration analysis of thin rotating cylindrical shells using wave propagation approach", Arch. Appl. Mech., 83(4), 521-531. https://doi.org/10.1007/s00419-012-0701-x.
  52. Swain, A., Roy, T. and Nanda, B.K. (2013), "Vibration behavior of single-walled carbon nanotube using finite element", Int. J. Theor. And Appl. Res. in Mech. Eng., 2, 129-133.
  53. Taiyari, F., Mazzolani, F.M. and Bagheri, S. (2019), "Seismic performance assessment of steel building frames equipped with a novel type of bending dissipative braces", Steel Compos. Struct., 33(4), 525-535. https://doi.org/10.12989/scs.2019.33.4.525.
  54. Usuki, T. and Yogo, K. (2009), "Beam equations for multi-walled carbon nanotubes derived from Flugge shell theory", Proceedings Royal Soc. A., 465. https://doi.org/10.1098/rspa.2008.0394
  55. Wang, J. and Gao, Y. (2016), "Nonlocal orthotropic shell model applied on wave propagation in microtubules", Appl. Mathem. Modelling, 40(11-12), 5731-5744. https://doi.org/10.1016/j.apm.2016.01.013.
  56. Wang, Q. and Varadan, V.K. (2006), "Vibration of carbon nanotubes studied using nonlocal continuum mechanics", Smart Mater. Struct., 15(2), 659. https://doi.org/10.1088/0964-1726/16/1/022.
  57. Xu, K.U., Aifantis, E.C. and Yan, Y.H. (2008), "Vibrations of double-walled carbon nanotubes with different boundary conditions between inner and outer tubes", J. Appl. Mech., 75(2), 021013-1. https://doi.org/10.1115/1.2793133.
  58. Yan, J.B., Dong, X. and Wang, T. (2020), "Flexural performance of double skin composite beams at the Arctic low temperature", Steel Compos. Struct., 37(4), 431-446. https://doi.org/10.12989/scs.2020.37.4.431.
  59. Yang, J., Ke, L. L. and Kitipornchai, S. (2010), "Nonlinear free vibration of single-walled carbon nanotubes using nonlocal Timoshenko beam theory", Physica E: Low-dimensional Syst. Nanostruct, 42(5), 1727-1735. https://doi.org/10.1016/j.physe.2010.01.035.
  60. Yazid, M., Heireche, H., Tounsi, A., Bousahla, A.A. and Houari, M.S.A. (2018), "A novel nonlocal refined plate theory for stability response of orthotropic single-layer graphene sheet resting on elastic medium", Smart Struct. Syst., 21(1), 15-25. https://doi.org/10.12989/sss.2018.21.1.015.
  61. Yoon, J., Ru, C.Q. and Mioduchowski, A. (2002), "Noncoaxial resonance of an isolated multiwall carbon nanotube", Phys. Rev. B - Condensed Matter Mater. Phys., 66(23), 2334021-2334024. https://doi.org/10.1103/PhysRevB.66.233402.
  62. Zamanian, M., Kolahchi, R. and Bidgoli, M.R. (2017), "Agglomeration effects on the buckling behaviour of embedded concrete columns reinforced with SiO2 nano-particles", Wind Struct, 24(1), 43-57. https://doi.org/10.12989/was.2017.24.1.043.
  63. Zhou, C., Chen, Z., Li, J., Cai, L. and Huang, Z. (2020), "Structural performance of novel SCARC column under axial and eccentric loads", Steel Composite Struct., 37(5), 503-516. https://doi.org/10.12989/scs.2020.37.5.503.
  64. Zou, R.D. and Foster, C.G. (1995), "Simple solution for buckling of orthotropic circular cylindrical shells", Thin-Walled Struct., 22(3), 143-158. https://doi.org/10.1016/0263-8231(94)00026-V.