Structural Engineering and Mechanics

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Nonlinear dynamic analysis of spiral stiffened functionally graded cylindrical shells with damping and nonlinear elastic foundation under axial compression

  • Foroutan, Kamran (Faculty of Mechanical Engineering, Shahrood University of Technology) ;
  • Shaterzadeh, Alireza (Faculty of Mechanical Engineering, Shahrood University of Technology) ;
  • Ahmadi, Habib (Faculty of Mechanical Engineering, Shahrood University of Technology)
  • Received : 2017.06.11
  • Accepted : 2018.02.19
  • Published : 2018.05.10
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Abstract

The semi-analytical method to study the nonlinear dynamic behavior of simply supported spiral stiffened functionally graded (FG) cylindrical shells subjected to an axial compression is presented. The FG shell is surrounded by damping and linear/nonlinear elastic foundation. The proposed linear model is based on the two-parameter elastic foundation (Winkler and Pasternak). A three-parameter elastic foundation with hardening/softening cubic nonlinearity is used for nonlinear model. The material properties of the shell and stiffeners are assumed to be FG. Based on the classical plate theory of shells and von $K{\acute{a}}rm{\acute{a}}n$ nonlinear equations, smeared stiffeners technique and Galerkin method, this paper solves the nonlinear vibration problem. The fourth order Runge-Kutta method is used to find the nonlinear dynamic responses. Results are given to consider effects of spiral stiffeners with various angles, elastic foundation and damping coefficients on the nonlinear dynamic response of spiral stiffened simply supported FG cylindrical shells.

Keywords

References

  1. Bich, D.H., Dung, D.V. and Nam, V.H. (2012), "Nonlinear dynamical analysis of eccentrically stiffened functionally graded cylindrical panels", Compos. Struct., 94(8), 2465-2473. https://doi.org/10.1016/j.compstruct.2012.03.012
  2. Bich, D.H., Dung, D.V., Nam, V.H. and Phuong, N.T. (2013), "Nonlinear static and dynamic buckling analysis of imperfect eccentrically stiffened functionally graded circular cylindrical thin shells under axial compression", Int. J. Mech. Sci., 74, 190-200. https://doi.org/10.1016/j.ijmecsci.2013.06.002
  3. Bich, D.H., Dung, D.V., Nam, V.H. and Phuong, N.T. (2013), "Nonlinear static and dynamic buckling analysis of imperfect eccentrically stiffened functionally graded circular cylindrical thin shells under axial compression", Int. J. Mech. Sci., 74, 190-200. https://doi.org/10.1016/j.ijmecsci.2013.06.002
  4. Brush, D.O. and Almroth, B.O. (1975), Buckling of Bars, Plates and Shells, Mc Graw-Hill. New York, U.S.A.
  5. Chen, M., Xie, K., Jia, W. and Xu, K. (2015), "Free and forced vibration of ring-stiffened conical-cylindrical shells with arbitrary boundary conditions", Ocean Eng., 108, 241-256. https://doi.org/10.1016/j.oceaneng.2015.07.065
  6. Darabi, M., Darvizeh, M. and Darvizeh, A. (2008), "Non-linear analysis of dynamic stability for functionally graded cylindrical shells under periodic axial loading", Compos. Struct., 83(2), 201-211. https://doi.org/10.1016/j.compstruct.2007.04.014
  7. Darvizeh, M., Darvizeh, A., Shaterzadeh, A.R. and Ansari, R. (2010), "Thermal buckling of spherical shells with cut-out", J. Therm. Stress., 33(5), 441-458. https://doi.org/10.1080/01495731003738432
  8. Duc, N.D. and Thang, P.T. (2014), "Nonlinear buckling of imperfect eccentrically stiffened metal-ceramic-metal S-FGM thin cicular cylindrical shells with temperature-dependent properties in thermal environments", Int. J. Mech. Sci., 81, 17-25. https://doi.org/10.1016/j.ijmecsci.2014.01.016
  9. Duc, N.D. and Thang, P.T. (2015), "Nonlinear dynamic response and vibration of shear deformable imperfect eccentrically stiffened S-FGM circular cylindrical shells surrounded on elastic foundations", Aerosp. Sci. Technol., 40, 115-127. https://doi.org/10.1016/j.ast.2014.11.005
  10. Dung, D.V. and Nam, V.H. (2014), "Nonlinear dynamic analysis of eccentrically stiffened functionally graded circular cylindrical thin shells under external pressure and surrounded by an elastic medium", Eur. J. Mech.-A/Sol., 46, 42-53. https://doi.org/10.1016/j.euromechsol.2014.02.008
  11. Ghiasian, S.E., Kiani, Y. and Eslami, M.R. (2013), "Dynamic buckling of suddenly heated or compressed FGM Beams resting on non-linear elastic foundation", Compos. Struct., 106, 225-234. https://doi.org/10.1016/j.compstruct.2013.06.001
  12. Paliwal, D.N., Pandey, R.K. and Nath, T. (1996), "Free vibration of circular cylindrical shell on Winkler and Pasternak foundation", Int. J. Press. Vess. Pip., 69(1), 79-89. https://doi.org/10.1016/0308-0161(95)00010-0
  13. Shaterzadeh, A. and Foroutan, K. (2016), "Post-buckling of cylindrical shells with spiral stiffeners under elastic foundation", Struct. Eng. Mech., 60(4), 615-631. https://doi.org/10.12989/sem.2016.60.4.615
  14. Shaterzadeh, A.R., Rezaei, R. and Abolghasemi, S. (2015), "Thermal buckling analysis of perforated functionally graded plates", J. Therm. Stress., 38(11), 1248-1266. https://doi.org/10.1080/01495739.2015.1073525
  15. Sheng, G.G. and Wang, X. (2008), "Thermomechanical vibration analysis of a functionally graded shell with flowing fluid", Eur. J. Mech.-A/Sol., 27(6), 1075-1087. https://doi.org/10.1016/j.euromechsol.2008.02.003
  16. Sofiyev, A.H. (2005), "The stability of compositionally graded ceramic-metal cylindrical shells under aperiodic axial impulsive loading", Compos. Struct., 69(2), 247- 257. https://doi.org/10.1016/j.compstruct.2004.07.004
  17. Sofiyev, A.H. (2009), "The vibration and stability behavior of freely supported FGM conical shells subjected to external pressure", Compos. Struct., 89(3), 356-366. https://doi.org/10.1016/j.compstruct.2008.08.010
  18. Sofiyev, A.H., Hui, D., Haciyev, V.C., Erdem, H., Yuan, G.Q., Schnack E. and Guldal, V. (2017), "The nonlinear vibration of orthotropic functionally graded cylindrical shells surrounded by an elastic foundation within first order shear deformation theory", Compos. Part B: Eng., 116, 170-185. https://doi.org/10.1016/j.compositesb.2017.02.006
  19. Sofiyev, A.H., Karaca, Z. and Zerin, Z. (2017), "Non-linear vibration of composite orthotropic cylindrical shells on the nonlinear elastic foundations within the shear deformation theory", Compos. Struct., 159, 53-62. https://doi.org/10.1016/j.compstruct.2016.09.048
  20. Tang, D., Yao, X. Wu, G. and Peng, Y. (2017), "Free and forced vibration analysis of multi-stepped circular cylindrical shells with arbitrary boundary conditions by the method of reverberation-ray matrix", Thin-Wall. Struct., 116, 154-168. https://doi.org/10.1016/j.tws.2017.03.023
  21. Volmir, A.S. (1972), Non-Linear Dynamics of Plates and Shells, Science Edition M.

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