Structural Engineering and Mechanics

Techno-Press (테크노프레스)
권호 표지
DOI QR코드

DOI QR Code

A study of the nonlinear dynamic instability of hybrid cable dome structures

  • Kim, Seung-Deog (Department of Architectural Engineering, Semyung University) ;
  • Kim, Hyung-Seok (Department of Architectural Engineering, Kyungpook National University) ;
  • Kang, Moon-Myung (Department of Architectural Engineering, Kyungpook National University)
  • Received : 2001.08.10
  • Accepted : 2003.03.22
  • Published : 2003.06.25
⟨ Previous Next ⟩

Abstract

Many papers which deal with the dynamic instability of shell-like structures under the STEP load have been published. But, there have been few papers related to the dynamic instability of hybrid cable domes. In this study, the dynamic instability of hybrid cable domes considering geometric nonlinearity is investigated by a numerical method. The characteristic structural behaviour of a cable dome shows a strong nonlinearity, so we determine the shape of a cable dome by applying initial stress and examine the indirect buckling mechanism under dynamic external forces. The dynamic critical loads are determined by the numerical integration of the nonlinear equation of motion, and the indirect buckling is examined by using the phase plane to investigate the occurrence of chaos.

Keywords

References

  1. Coan, C.H. and Plaut, R.H. (1983), "Dynamic stability of a lattice dome", Earthq. Eng. Struct. Dyn., 11, 269- 274. https://doi.org/10.1002/eqe.4290110208
  2. Hangai, Y. and Kawamata, S. (1971), "Nonlinear analysis of space frames and snap-through buckling of reticulated shell structures", Proceedings of IASS Pacific Symposium, Part II on Tension Structure and Space Frames, Tokyo and Kyoto, Japan, 9-4-1 - 9-4-12.
  3. Hill, C.D., Blandford, G.E. and Wang, S.T. (1989), "Post-buckling analysis of steel space trusses", J. Struct. Eng., ASCE, 115(4), 900-919. https://doi.org/10.1061/(ASCE)0733-9445(1989)115:4(900)
  4. Holzer, S.M. (1977), "Static and dynamic stability of reticulated shells : Stability of structures under static and dynamic loads", Proceedings of an International Colloquium, Washington, D.C., May.
  5. Hsu, C.S. (1966), "On dynamic stability of elastic bodies with prescribed initial conditions", Int. J. Eng. Sci., 4(1), 1-21. https://doi.org/10.1016/0020-7225(66)90026-7
  6. Hsu, C.S. (1967), "The effects of various parameters on the dynamic stability of a shallow arch", J. Appl. Mech., 34(2), 349-358. https://doi.org/10.1115/1.3607689
  7. Huang, N.C. (1964), "Unsymmetrical buckling of thin shallow spherical shells", J. Appl. Mech., 31(3), 447-457. https://doi.org/10.1115/1.3629662
  8. Huang, N.C. and Nachbar, W. (1968), "Dynamic snap-through of imperfect viscoelastic shallow arches", J. Appl. Mech., ASME, 289-296.
  9. Kani, I.M. and McConnel, R.E. (1987), "Collapse of shallow lattice domes", J. Struct. Eng., 113(8), 1806-1819. https://doi.org/10.1061/(ASCE)0733-9445(1987)113:8(1806)
  10. Kim, S.D. (1990), "Dynamic instability of shallow structures", Doctorate thesis, The University of Tokyo.
  11. Kim, S.D. (1995), "Spectral analysis of nonlinear dynamic response for dynamic instability of shallow elliptic paraboloidal shells", J. Computational Structural Engineering Institute, 8(2), 153-161.
  12. Kim, S.D., et al. (1997), "Dynamic instability of shell-like shallow trusses considering damping", Comput. Struct., 64(1-4), 481-489. https://doi.org/10.1016/S0045-7949(96)00141-1
  13. Kim, S.D., Kwun, T.J. and Park, J.Y. (1998), "A study on the bifurcation buckling for shallow sinusoidal arches", J. Computational Structural Engineering Institute of Korea, 11(1), 457-464.
  14. Kim, S.D., Park, J.Y. and Kwun, T.J. (1998), "A study on the instability of shallow sinusoidal arches", J. Computational Structural Engineering Institute of Korea, 11(2), 233-242.
  15. Kouhia, R. and Mikkola, M. (1989), "Tracing the equilibrium path beyond simple critical points", Int. J. Numer. Meth. Eng., 28(12), 2933-2941.
  16. Kwun, T.J., Hangai, Y., Choi, H.S., Kim, S.D. and Seo, S.Y. (1995), "A study for optimum shape and stressdeformation analysis of cable net structures considering geometric nonlinearity", Journal of Architectural Institute of Korea, 111(1), 153-160.
  17. Lin, X.G. (1990), "Structural stability analysis of hybrid cable structures", Master's thesis, University of Tokyo.
  18. Makowski, Z.S. (1993), "Space structures - a review of the development within the last decade", Proc. 4th Int. Conf. Space Structures, UK, September.
  19. Nayfeh, A.H. and Mook, D.T. (1979), Nonlinear Oscillations, John Wiley & Sons.
  20. See, T. and McConnel, R.E. (1986), "Large displacement elastic buckling of space structure", J. Struct. Eng., 112(5), 1052-1069. https://doi.org/10.1061/(ASCE)0733-9445(1986)112:5(1052)
  21. Suhara, J. (1960), Snapping of Shallow Spherical Shells under Static and Dynamic Loadings, ASRL TR 76-4, Aeroelastic and Structures Research Laboratory, Cambridge, Mass.
  22. Waszczyszyn, Z. (1983), "Numerical problems of nonlinear stability analysis of elastic structures", Comput. Struct., 17(1), 13-24. https://doi.org/10.1016/0045-7949(83)90023-8
  23. Yao, J. and Song, B. (1991), "The dynamic elastic buckling of a circular arch with finite displacements and initial imperfections", Int. J. Impact Eng., 11(4), 503-513. https://doi.org/10.1016/0734-743X(91)90016-9
  24. Zoelly, R. (1915), "Ueber ein knickungsproblem an der kugelschale", Dissertation, Zurich.

Cited by

  1. Active tendon control of a Geiger dome vol.20, pp.2, 2014, https://doi.org/10.1177/1077546312458944
  2. Structural behavior of the suspen-dome structures and the cable dome structures with sliding cable joints vol.43, pp.1, 2012, https://doi.org/10.12989/sem.2012.43.1.053
  3. An account of the foundation in assessment of earth structure dynamics vol.97, pp.None, 2003, https://doi.org/10.1051/e3sconf/20199704015