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Transient response analysis of tapered FRP poles with flexible joints by an efficient one-dimensional FE model

  • Saboori, Behnam (Center of Excellence in Experimental Solid Mechanics and Dynamics, School of Mechanical Engineering, Iran University of Science and Technology) ;
  • Khalili, Seyed Mohammad Reza (Center of Excellence for Research in Advanced Materials & Structures, Faculty of Mechanical Engineering, K.N. Toosi University of Technology)
  • Received : 2015.07.10
  • Accepted : 2016.05.03
  • Published : 2016.07.25

Abstract

This research develops a finite element code for the transient dynamic analysis of tapered fiber reinforced polymer (FRP) poles with hollow circular cross-section and flexible joints used in power transmission lines. The FRP poles are modeled by tapered beam elements and their flexible joints by a rotational spring. To solve the time equations of transient dynamic analysis, precise time integration method is utilized. In order to verify the utilized formulations, a typical jointed FRP pole under step, triangular and sine pulses is analyzed by the developed finite element code and also ANSYS commercial finite element software for comparison. Thereafter, the effect of joint flexibility on its dynamic behavior is investigated. It is observed that by increasing the joint stiffness, the amplitude of the pole tip deflection history decreases, and the time of occurrence of the maximum deflection is earlier.

Keywords

References

  1. ANSYS. (2007), ANSYS User's Manual for rev. 11.0. USA: ANSYS Inc.
  2. Bae, S.H., Cho, J.R. and Jeong, W.B. (2016), "Free and transient responses of linear complex stiffness system by Hilbert transform and convolution integral", Smart Struct. Syst., 17(5), 753-771. https://doi.org/10.12989/sss.2016.17.5.753
  3. Caracoglia, L. (2007), "Influence of weather conditions and eccentric aerodynamic loading on the large amplitude aeroelastic vibration of highway tubular poles", Eng. Struct., 29(12), 3550-3566. https://doi.org/10.1016/j.engstruct.2007.08.010
  4. Caracoglia, L. and Jones, N.P. (2007), "Numerical and experimental study of vibration mitigation for highway light poles", Eng. Struct., 29(5), 821-831. https://doi.org/10.1016/j.engstruct.2006.06.023
  5. Caracoglia, L. and Velazquez, A. (2008), "Experimental comparison of the dynamic performance for steel, aluminum and glass-fiber-reinforced-polymer light poles", Eng. Struct., 30(4), 1113-1123. https://doi.org/10.1016/j.engstruct.2007.07.024
  6. Fam, A., Kim, Y.J. and Son, J.K. (2010), "A numerical investigation into the response of free end tubular composite poles subjected to axial and lateral loads", Thin Wall. Struct., 48(8), 650-659. https://doi.org/10.1016/j.tws.2010.04.002
  7. Gould, P.L. and Basu, P.K. (1977), "Geometric stiffness matrices for the finite element analysis of rotational shells", J. Struct. Mech., 5(1), 87-105. https://doi.org/10.1080/03601217708907307
  8. Han, J.S., Won, B., Park, W.S. and Ko, J.H. (2016), "Transient response analysis by model order reduction of a Mokpo-Jeju submerged floating tunnel under seismic excitations", Struct. Eng. Mech., 57(5), 921-936. https://doi.org/10.12989/sem.2016.57.5.921
  9. Ibrahim, S. and Polyzois, D. (1999), "Ovalization analysis of fiber-reinforced plastic poles", Compos. Struct., 45(1), 7-12. https://doi.org/10.1016/S0263-8223(98)00137-8
  10. Ibrahim, S., Polyzois, D. and Hassan, D. (2000), "Development of glass fibre-reinforced plastic poles for transmission and distribution lines", Can. J. Civil Eng., 27, 850-858. https://doi.org/10.1139/l99-089
  11. Jones, R.M. (1999), Mechanics of Composite Materials, CRC Press, Washington DC.
  12. Khalili, S. and Saboori, B. (2010), "Transient dynamic analysis of tapered FRP composite transmission poles using finite element method", Compos. Struct., 92(2), 275-283. https://doi.org/10.1016/j.compstruct.2009.07.026
  13. Khdeir, A., Reddy, J. and Frederick, D. (1989), "A study of bending, vibration and buckling of cross-ply circular cylindrical shells with various shell theories", Int. J. Eng. Sci., 27(11), 1337-1351. https://doi.org/10.1016/0020-7225(89)90058-X
  14. Lin, Z.M. (1995), "Analysis of pole-type structures of fibre-reinforced plastics by finite element method", The University of Manitoba.
  15. Mabie, H. and Rogers, C. (1972), "Transverse vibrations of double-tapered cantilever beams", J. Acoust. Soc. Am., 51, 1771-1774. https://doi.org/10.1121/1.1913028
  16. Mabie, H. and Rogers, C. (1974), "Transverse vibrations of double-tapered cantilever beams with end support and with end mass", J. Acoust. Soc. Am., 55, 986-989. https://doi.org/10.1121/1.1914673
  17. Metiche, S. and Masmoudi, R. (2012), "Analysis and design procedures for the flexural behavior of glass fiber-reinforced polymer composite poles", J. Compos. Mater., 47(2), 207-229. https://doi.org/10.1177/0021998312438721
  18. Metiche, S., Masmoudi, R. and Abdel-Baky, H. (2009), "New design procedure for FRP composites poles", Paper presented at the the 24th American Society of Composites (ASC), Delaware, USA, September.
  19. Navaratna, D.R., Pian, T.H.H. and Wittmer, E.A. (1968), "Stability analysis of shell of revolution by the finite element method", AIAA J., 6, 355-361. https://doi.org/10.2514/3.4502
  20. Noor, A.K., Burton, W.S. and Peters, J.M. (1991), "Assessment of computational models for multilayered composite cylinders", Int. J. Solid. Struct., 27(10), 1269-1286. https://doi.org/10.1016/0020-7683(91)90162-9
  21. Polyzois, D., Raftoyiannis, I. and Ibrahim, S. (1998), "Finite elements method for the dynamic analysis of tapered composite poles", Compos. Struct., 43(1), 25-34. https://doi.org/10.1016/S0263-8223(98)00088-9
  22. Polyzois, D.J. and Raftoyiannis, I.G. (2009), "Nonlinear shell-type to beam-type fea simplifications for composite frp poles", Arch. Appl. Mech., 79(4), 347-358. https://doi.org/10.1007/s00419-008-0239-0
  23. Raftoyiannis, I.G. and Polyzois, D.J. (2007), "The effect of semi-rigid connections on the dynamic behavior of tapered composite GFRP poles", Compos. Struct., 81(1), 70-79. https://doi.org/10.1016/j.compstruct.2006.07.015
  24. Rao, S.S. (1995), Mechanical Vibrations, Addison-Wesley Reading, MA.
  25. Saboori, B. and Khalili, S. (2011), "Static analysis of tapered FRP transmission poles using finite element method", Finite Elem. Analy. Des., 47(3), 247-255. https://doi.org/10.1016/j.finel.2010.10.002
  26. Tang, B. (2008), "Combined dynamic stiffness matrix and precise time integration method for transient forced vibration response analysis of beams", J. Sound Vib., 309(3), 868-876. https://doi.org/10.1016/j.jsv.2007.07.075
  27. Xiang, S., Bi, Z.Y., Jiang, S.X., Jin, Y.X. and Yang, M.S. (2011), "Thin plate spline radial basis function for the free vibration analysis of laminated composite shells", MA, 93(2), 611-615. https://doi.org/10.1016/j.compstruct.2010.08.018
  28. Zabihollah, A. and Ganesan, R. (2010), "Buckling analysis of tapered composite beams using a higher order finite element formulation", J. Reinf. Plast. Compos., 29(17), 2663-2683. https://doi.org/10.1177/0731684409352124
  29. Zhong, W. and Williams, F. (1994), "A precise time step integration method", Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, 208(6), 427-430. https://doi.org/10.1243/PIME_PROC_1994_208_148_02