Earthquakes and Structures

Techno-Press (테크노프레스)
권호 표지
DOI QR코드

DOI QR Code

A simplified analysis of super building structures with setback

  • Received : 2010.08.23
  • Accepted : 2010.11.15
  • Published : 2011.03.25
⟨ Previous Next ⟩

Abstract

One-dimensional rod theory is very effective as a simplified analytical approach to large scale or complicated structures such as high-rise buildings, in preliminary design stages. It replaces an original structure by a one-dimensional rod which has an equivalent stiffness in terms of global properties. The mechanical behavior of structures composed of distinct constituents of different stiffness such as coupled walls with opening is significantly governed by the local variation of stiffness. Furthermore, in structures with setback the distribution of the longitudinal stress behaves remarkable nonlinear behavior in the transverse-wise. So, the author proposed the two-dimensional rod theory as an extended version of the rod theory which accounts for the two-dimensional local variation of structural stiffness; viz, variation in the transverse direction as well as longitudinal stiffness distribution. This paper proposes how to deal with the two-dimensional rod theory for structures with setback. Validity of the proposed theory is confirmed by comparison with numerical results of computational tools in the cases of static, free vibration and forced vibration problems for various structures. The transverse-wise nonlinear distribution of the longitudinal stress due to the existence of setback is clarified to originate from the long distance from setback.

Keywords

References

  1. Buchholdt, H. (1997), Structural dynamics for engineers, Thomas Telford.
  2. Georgoussis, G.K. (2006), "A simple model for assessing periods of vibration and modal response quantities in symmetrical buildings", Struct. Des. Tall. Spec., 15(2), 139-151. https://doi.org/10.1002/tal.286
  3. Pubal, Z. (1988), Theory and calculation of frame structures with stiffening walls, Elsevier, Amsterdam.
  4. Rutenberg, A. (1975), "Approximate natural frequencies for coupled shear walls", Earth. Eng. Struct. Dyn., 4(1), 95-100. https://doi.org/10.1002/eqe.4290040107
  5. Smith, B.S. and Coull, A. (1991), Tall building structures: analysis and design, John Wily & Sons, New York.
  6. Scarlet, A.S. (1996), Approximate methods in structural seismic design, E&FN Spon.
  7. Takabatake, H. and Matsuoka, O. (1983), "The elastic theory of thin-walled open cross sections with local deformations", Int. J. Solids Struct., 19(12), 1065-1088. https://doi.org/10.1016/0020-7683(83)90080-X
  8. Takabatake, H. and Matsuoka, O. (1987), "Elastic analyses of circular cylindrical shells by rod theory including distortion of cross section", Int. J. Solids Struct., 23(6), 797-817. https://doi.org/10.1016/0020-7683(87)90080-1
  9. Takabatake, H. Mukai, H. and Hirano, T. (1993), "Doubly symmetric tube structures: I: static analysis", J. Struct. Eng. - ASCE, 119(7), 1981-2001. https://doi.org/10.1061/(ASCE)0733-9445(1993)119:7(1981)
  10. Takabatake, H. Mukai, H. and Hirano, T. (1993), "Doubly symmetric tube structures: II: dynamic analysis", J. Struct. Eng. - ASCE, 119(7), 2002-2016. https://doi.org/10.1061/(ASCE)0733-9445(1993)119:7(2002)
  11. Takabatake, H. Takesako, R. and Kobayashi, M. (1995), "A simplified analysis of doubly symmetric tube structures", Struct. Des. Tall Build., 4(2), 137-153. https://doi.org/10.1002/tal.4320040205
  12. Takabatake, H. (1996), "A simplified analysis of doubly symmetric tube structures by the finite difference method", Struct. Des. Tall Build., 5(2), 111-128. https://doi.org/10.1002/(SICI)1099-1794(199606)5:2<111::AID-TAL68>3.0.CO;2-F
  13. Takabatake, H. and Nonaka, T. (2001), "Numerical study of Ashiyahama residential building damage in the Kobe Earthquake", Earth. Eng. Struct. Dyn., 30(6) , 879-897. https://doi.org/10.1002/eqe.46
  14. Takabatake, H. Nonaka, T. and Tanaki, T. (2005), "Numerical study of fracture propagating through column and brace of Ashiyahama residential building in Kobe Earthquake", Struct. Des. Tall. Spec., 14(2), 91-105. https://doi.org/10.1002/tal.265
  15. Takabatake, H. and Satoh, T. (2006), "A simplified analysis and vibration control to super-high-rise buildings", Struct. Des. Tall. Spec., 15(4), 363-390. https://doi.org/10.1002/tal.276
  16. Takabatake, H. (2010), "Two-dimensional rod theory for approximate analysis of building structures", Earthq. Struct., 1(1), 1-19. https://doi.org/10.12989/eas.2010.1.1.001
  17. Tarjian, G. and Kollar, L.P. (2004), "Approximate analysis of building structures with identical stories subjected to earthquake", Int. J. Solids Struct., 41(5), 1411-1433. https://doi.org/10.1016/j.ijsolstr.2003.10.021

Cited by

  1. New vibration control device and analytical method for slender structures vol.4, pp.1, 2013, https://doi.org/10.12989/eas.2013.4.1.011
  2. Fundamental periods of reinforced concrete building frames resting on sloping ground vol.14, pp.4, 2011, https://doi.org/10.12989/eas.2018.14.4.305