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Design of intelligent estimation of composite fluid-filled shell for three layered active control structure

  • Ghamkhar, Madiha (Department of Mathematics and Statistics, University of Agriculture Faisalabad) ;
  • Hussain, Muzamal (Department of Mathematics, Govt. College University Faisalabad) ;
  • Khadimallah, Mohamed A. (Civil Engineering Department, College of Engineering, Prince Sattam Bin Abdulaziz University) ;
  • Ayed, Hamdi (Department of Civil Engineering, College of Engineering, King Khalid University) ;
  • Naz, Muhammad Yasin (Department of Physics, University of Agriculture Faisalabad) ;
  • Tounsi, Abdelouahed (YFL (Yonsei Frontier Lab), Yonsei University)
  • Received : 2021.02.03
  • Accepted : 2022.02.08
  • Published : 2022.02.25

Abstract

The vibrational characteristic of three-layered cylindrical shell (CS) submerged in fluid with the ring support has been studied. The inner and outer layer is supposed to construct by isotropic layer. The composition of central layer is of functionally graded material type. Acoustic Wave condition has been utilized to present the impact of fluid. The central layer of cylindrical shell (CS) varies by volume fraction law that has been expressed in terms of polynomial. The main shell frequency equation has been obtained by theory of Love's shell and Rayleigh-Ritz technique. The oscillation of natural frequency has been examined under a variety of end conditions. The dependence of axial model has been executed with the help of characteristic beam function. The natural frequencies (NFs) of functionally graded material (FGM) shell have been observed of cylindrical shell along the shell axial direction. Different physical parameters has been used to examine the vibration characteristics due to the effect of volume fraction law. MATLAB software has been used to get result.

Keywords

Acknowledgement

The authors extend their appreciation to the Deanship of Scientific Research at King Khalid University for funding this work through research groups under grant number R.G.P.2/2/43.

References

  1. Ahmad, M. and Naeem, M.N. (2009), "Vibration characteristics of rotating FGM circular cylindrical shell using wave propagation method", Eur. J. Sci. Res., 36(2), 184-235.
  2. Ahmed, R.A., Fenjan, R.M. and Faleh, N.M. (2019), "Analyzing post-buckling behavior of continuously graded FG nanobeams with geometrical imperfections", Geomech. Eng., 17(2), 175-180. https://doi.org/10.12989/gae.2019.17.2.175.
  3. Akbas S.D. (2017a), "Free vibration of edge cracked functionally graded microscale beams based on the modified couple stress theory", Int. J. Struct. Stability Dyn., 17(03), 1750033. https://doi.org/10.1142/S021945541750033X.
  4. 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.
  5. 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.
  6. Akbas, S.D. (2017b), "Forced vibration analysis of functionally graded nanobeams", Int. J. Appl. Mech., 9(7), 1750100. https://doi.org/10.1142/S1758825117501009.
  7. 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.
  8. 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.
  9. Akbas, S.D. (2018b), "Bending of a cracked functionally graded nanobeam", Adv. Nano Res., 6(3), 219. https://doi.org/10.12989/anr.2018.6.3.219.
  10. 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.
  11. 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.
  12. Alijani, M. and Bidgoli, M.R. (2018), "Agglomerated SiO2 nanoparticles reinforced-concrete foundations based on higher order shear deformation theory: Vibration analysis", Adv. Concrete Constr., 6(6), 585. https://doi.org/10.12989/acc.2018.6.6.585.
  13. Amabili, M., Pellicano, F. and Paidoussis, M.P. (1998), "Nonlinear vibrations of simply supported, circular cylindrical shells, coupled to quiescent fluid", J. Fluid. Struct., 12(7), 883-918. https://doi.org/10.1006/jfls.1998.0173.
  14. Arefi, M. and Zenkour, A.M. (2017), "Analysis of wave propagation in a functionally graded nanobeam resting on visco-Pasternak's foundation", Theo. Appl. Mech. Lett., 7(3), 145-151. https://doi.org/10.1016/j.taml.2017.05.003.
  15. Arefi, M. and Zenkour, A.M. (2019), "Influence of micro-length-scale parameters and inhomogeneities on the bending, free vibration and wave propagation analyses of a FG Timoshenko's sandwich piezoelectric microbeam", J. Sandwich Struct. Mater., 21(4), 1243-1270. https://doi.org/10.1177/1099636217714181.
  16. Batou, B., Nebab, M., Bennai, R., Atmane, H.A., Tounsi, A. and Bouremana, M. (2019), "Wave dispersion properties in imperfect sigmoid plates using various HSDTs", Steel Compos. Struct., 33(5), 699-716. https://doi.org/10.12989/scs.2019.33.5.699.
  17. Bilouei, B.S., 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.2016.18.6.1053.
  18. Bryan, G.H. (1890), "On the beats in the vibrations of a revolving cylinder or bell", Proceedings of the Cambridge philosophical Society, November.
  19. Chen, Y., Zhao, H.B. and Shin, Z.P. (1993), "Vibration of high speed rotating shells with calculation for cylindrical shells", J. Sound Vib., 160, 137. https://doi.org/10.1006/jsvi.1993.1010.
  20. Chung, H., Turula, P. Mulcahy, T.M. and Jendrzejczyk, J.A. (1981), "Analysis of cylindrical shell vibrating in a cylindrical fluid region", Nuclear Eng. Des., 63(1), 109-1012. https://doi.org/10.1016/0029-5493(81)90020-0.
  21. 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.
  22. 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.
  23. Demir, A.D. and Livaoglu, R. (2019), "The role of slenderness on the seismic behavior of ground-supported cylindrical silos", Adv. Concrete Constr., 7(2), 65. https://doi.org/10.12989/acc.2019.7.2.065.
  24. Di Taranto, R.A. and Lessen, M. (1964), "Coriolis acceleration effect on the vibration of rotating thin-walled circular cylinder", Trans. J. Appl. Mech., 31, 700-701. https://doi.org/10.1115/1.3629733.
  25. Ergin, A. and Temarel, P. (2002), "Free vibration of a partially liquid-filled and submerged, horizontal cylindrical shell", J. Sound Vib., 254(5), 951-965. https://doi.org/10.1006/jsvi.2001.4139.
  26. Faleh, N.M., Fenjan, R.M. and Ahmed, R.A. (2020), "Forced vibrations of multi-phase crystalline porous shells based on strain gradient elasticity and pulse load effects", J. Vib. Eng. Tech., 1-9. https://doi.org/10.1007/s42417-020-00203-8.
  27. Fenjan, R.M., Ahmed, R.A. and Faleh, N.M. (2019), "Investigating dynamic stability of metal foam nanoplates under periodic in-plane loads via a three-unknown plate theory", Adv. Aircraft Spacecraft Sci., 6(4), 297-314. https://doi.org/10.12989/aas.2019.6.4.297.
  28. Fenjan, R.M., Ahmed, R.A., Alasadi, A.A. and Faleh, N.M. (2019), "Nonlocal strain gradient thermal vibration analysis of double-coupled metal foam plate system with uniform and nonuniform porosities", Coupl. Syst. Mech., 8(3), 247-257. https://doi.org/10.12989/CSM.2019.8.3.247
  29. Fox, C.H.J. and Hardie, D.J.W. (1985), "Harmonic response of rotating cylindrical shell", J. Sound Vib., 101, 495. https://doi.org/10.1016/S0022-460X(85)80067-5.
  30. Ghosh, A. (Ed.). (1997), "Functionally graded materials: Manufacture, properties, and applications", Am. Ceramic Soc., 76, 171-189.
  31. Golabchi, H., Kolahchi, R. and Bidgoli, M.R. (2018), "Vibration and instability analysis of pipes reinforced by SiO2 nanoparticles considering agglomeration effects", Comput. Concrete, 21(4), 431-440. https://doi.org/10.12989/cac.2018.21.4.431.
  32. Kagimoto, H., Yasuda, Y. and Kawamura, M. (2015), "Mechanisms of ASR surface cracking in a massive concrete cylinder", Adv. Concrete Constr., 3(1), 039. https://doi.org/10.12989/acc.2015.3.1.039.
  33. Koizumi, M.F.G.M. (1997), "FGM activities in Japan", Compos. Part B Eng., 28(1-2), 1-4. https://doi.org/10.1016/S1359-8368(96)00016-9.
  34. Lal, A. and Markad, K. (2018), "Deflection and stress behaviour of multi-walled carbon nanotube reinforced laminated composite beams", Comput. Concrete, 22(6), 501-514. https://doi.org/10.12989/cac.2018.22.6.501.
  35. Lam K.Y. and Loy, C.T. (1994), "On vibration of thin rotating laminated composite cylindrical shells", J. Sound Vib., 116, 198. https://doi.org/10.1016/0961-9526(95)91289-S.
  36. Li, H. and Lam, K.Y. (1998), "Frequency characteristics of a thin rotating cylindrical shell using the generalized differential quadrature method", Int. J. Mech. Sci., 40(5), 443-459. https://doi.org/10.1016/S0020-7403(97)00057-X.
  37. Loghman, A., Arani, A.G. and Barzoki, A.A.M. (2017), "Nonlinear stability of non-axisymmetric functionally graded reinforced nano composite microplates", Comput. Concrete, 19(6), 677-687. https://doi.org/10.12989/cac.2017.19.6.677.
  38. Love, A.E.H. (1888), "XVI. The small free vibrations and deformation of a thin elastic shell", Philosophical Transac. Royal Soc. London, 179, 491-546. https://doi.org/10.1098/rsta.1888.0016.
  39. Loy, C.T. and Lam, K.Y. (1997), "Vibration of cylindrical shells with ring support", Int. J. Mech. Sci., 39(4), 455-471. https://doi.org/10.1016/S0020-7403(96)00035-5.
  40. 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.
  41. Meng, Q., Lai, X., Yan, Z., Su, C.Y. and Wu, M. (2021), "Motion planning and adaptive neural tracking control of an uncertain two-link rigid-flexible manipulator with vibration amplitude constraint", IEEE Transactions on Neural Networks and Learning Systems. https://doi.org/10.1109/TNNLS.2021.3054611.
  42. Mesbah, H.A. and Benzaid, R. (2017), "Damage-based stress-strain model of RC cylinders wrapped with CFRP composites", Adv. Concrete Constr., 5(5), 539. https://doi.org/10.12989/acc.2017.5.5.539.
  43. Mousavi, M., Mohammadimehr, M. and Rostami, R. (2019), "Analytical solution for buckling analysis of micro sandwich hollow circular plate", Comput. Concrete, 24(3), 185-192. https://doi.org/10.12989/cac.2019.24.3.185.
  44. Mousavi, M., Mohammadimehr, M. and Rostami, R. (2019), "Analytical solution for buckling analysis of micro sandwich hollow circular plate", Comput. Concrete, 24(3), 185-192. https://doi.org/10.12989/cac.2019.24.3.185.
  45. Najafizadeh, M.M. and Isvandzibaei, M.R. (2007), "Vibration of (FGM) cylindrical shells based on higher order shear deformation plate theory with ring support", Acta Mechanica, 191, 75-91. http/10.1007/s00707-006-0438-0.
  46. Padovan, J. (1975), "Travelling waves vibrations and buckling of rotating anisotropic shells of revolution by finite element", Int. J. Solid Struct., 11(12), 1367-1380. https://doi.org/10.1016/0020-7683(75)90064-5.
  47. Penzes, R.L.E. and Kraus H. (1972), "Free vibrations of pre-stresses cylindrical shells having arbitrary homogeneous boundary conditions", AIAA J., 10, 1309. https://doi.org/10.2514/3.6605.
  48. Safaei, B., Khoda, F.H. and Fattahi, A.M. (2019), "Non-classical plate model for single-layered graphene sheet for axial buckling", Adv. Nano Res., 7, 265-275. https://doi.org/10.12989/anr.2019.7.4.265.
  49. Saito, T. and Endo, M. (1986), "Vibrations of finite length rotating cylindrical shell", J. Sound Vib., 107, 17. https://doi.org/10.1016/0022-460X(86)90279-8.
  50. Salah, F., Boucham, B., Bourada, F., Benzair, A., Bousahla, A.A. and Tounsi, A. (2019), "Investigation of thermal buckling properties of ceramic-metal FGM sandwich plates using 2D integral plate model", Steel Compos. Struct., 33(6), 805-822. https://doi.org/10.12989/scs.2019.33.6.805.
  51. Samadvand, H. and Dehestani, M. (2020), "A stress-function variational approach toward CFRP-concrete interfacial stresses in bonded joints", Adv. Concrete Constr., 9(1), 43-54. https://doi.org/10.12989/acc.2020.9.1.043.
  52. Sayin, E. and Calayir, Y. (2015), "Comparison of linear and nonlinear earthquake response of masonry walls", Comput. Concrete, 16(1), 17-35. https://doi.org/10.12989/cac.2015.16.1.017.
  53. Sewall, J.L. and Naumann, E.C. (1968), An Experimental and Analytical Vibration Study of Thin Cylindrical Shells with and without Longitudinal Stiffeners, National Aeronautic and Space Administration.
  54. Sharma, P., Singh, R. and Hussain, H, (2019), "On modal analysis of axially functionally graded material beam under hygrothermal effect", Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science. https://doi.org/10.1177/0954406219888234.
  55. Sivadas, K.R. and Ganesan, N. (1964), "Effect of rotation on vibrations of moderately thin cylindrical shell", J. Vib. Acous., 116(1), 198-202. https://doi.org/10.1115/1.2930412.
  56. Srinivasan, A.V and Luaterbach, G.F. (1971), "Travelling waves in rotating cylindrical shells", Trans. J. Eng. Indus., 93, 1229-1232. https://doi.org/10.1115/1.3428067.
  57. Suresh, S. and Mortensen, A. (1997), "Functionally gradient metals and metal ceramic composites", Part 2: Therm. Mech. Behav. Int. Mater, 42, 85-116. https://doi.org/10.1179/imr.1997.42.3.85.
  58. Swaddiwudhipong, S., Tian, J. and Wang, C.M. (1995), "Vibration of cylindrical shells with ring supports", J. Sound Vib., 187(1), 69-93. https://doi.org/10.1006/jsvi.1995.0503.
  59. Toulokian, Y.S. (1967), "Thermo physical properties of high temperature solid materials", Macmillan.
  60. Wang S.S. and Chen, Y. (1974), "Effects of rotation on vibrations of circular cylindrical shells", J. Acous. Soc. Am., 55, 1340-1342. https://doi.org/10.1121/1.1914708.
  61. Xiang, G., Zhang, Y., Gao, X., Li, H. and Huang, X. (2021), "Oblique detonation waves induced by two symmetrical wedges in hydrogen-air mixtures", Fuel, 295, 120615. https://doi.org/10.1016/j.fuel.2021.120615.
  62. Xiang, Y., Ma, Y.F., Kitipornchai. S. and Lau. C.W.H. (2002), "Exact solutions for vibration of cylindrical shells with intermediate ring supports", Int. J. Mech Sci., 44(9), 1907-1924. https://doi.org/10.1016/S0020-7403(02)00071-1.
  63. Xu, J., Wu, Z., Chen, H., Shao, L., Zhou, X. and Wang, S. (2021), "Triaxial shear behavior of basalt fiber-reinforced loess based on digital image technology", KSCE J. Civil Eng., 25(10), 3714-3726. https://doi.org/10.1007/s12205-021-2034-1.
  64. Yu, X., Sun, Y., Zhao, D. and Wu, S. (2021), "A revised contact stiffness model of rough curved surfaces based on the length scale", Trib. Int., 164, 107206. https://doi.org/10.1016/j.triboint.2021.107206.
  65. Zamani, A., Kolahchi, R. and Bidgoli, M.R. (2017), "Seismic response of smart nanocomposite cylindrical shell conveying fluid flow using HDQ-Newmark methods", Comput. Concrete, 20(6), 671-682. https://doi.org/10.12989/cac.2017.20.6.671.
  66. Zhang, C., Jin, Q., Song, Y., Wang, J., Sun, L., Liu, H. and Guo, S. (2021), "Vibration analysis of a sandwich cylindrical shell in hygrothermal environment", Nanotech. Rev., 10(1), 414-430. https://doi.org/10.1515/ntrev-2021-0026.
  67. Zohar, A. and Aboudi, J. (1973), "The free vibrations of thin circular finite rotating cylinder", Int. J. Mech. Sci., 15, 269-278. https://doi.org/10.1016/0020-7403(73)90009-X.