한국공간구조학회논문집 (Journal of Korean Association for Spatial Structures)

  • 제13권1호
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  • Pages.87-96
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  • 2013
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  • 1598-4095(pISSN)
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  • 2287-7401(eISSN)
한국공간구조학회 (Korean Association for Spatial Structures)
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돔형 스페이스 프레임의 부재강성변화에 따른 임계좌굴하중과 유효좌굴길이계수

Critical Load and Effective Buckling Length Factor of Dome-typed Space Frame Accordance with Variation of Member Rigidity

  • 손수덕 (한국기술교육대학교 건축공학부) ;
  • 이승재 (한국기술교육대학교 건축공학부)
  • Shon, Su-Deok (School of Arch. Eng., Korea Univ. of Tech. & Education) ;
  • Lee, Seung-Jae (School of Arch. Eng., Korea Univ. of Tech. & Education)
  • 투고 : 2012.12.08
  • 심사 : 2013.02.28
  • 발행 : 2013.03.15
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초록

This study investigated characteristics of buckling load and effective buckling length by member rigidity of dome-typed space frame which was sensitive to initial conditions. A critical point and a buckling load were computed by analyzing the eigenvalues and determinants of the tangential stiffness matrix. The hexagonal pyramid model and star dome were selected for the case study in order to examine the nodal buckling and member buckling in accordance with member rigidity. From the numerical results, an effective buckling length factor of adopted models was bigger than that of Euler buckling for the case of fixed boundary. These numerical models indicated that the influence of nodal buckling was greater than that of member buckling as member rigidity was higher. Besides, there was a tendency that the bifurcation appeared on the equilibrium path before limit point in the member buckling model.

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참고문헌

  1. Thompson JMT and Hunt GW(1983), On the buckling and imperfection-sensitivity of arches with and without prestress. International Journal of Solids and Structures, Vol 19(5), 445-459 https://doi.org/10.1016/0020-7683(83)90055-0
  2. El-Sheikh A(1998), Design of space truss structures, Structural Engineering and Mechanics, Vol 6(2), 185-200 https://doi.org/10.12989/sem.1998.6.2.185
  3. Lopez A, Puente I and Serna MA(2007), Numerical model and experimental tests on single-layer latticed domes with semi-rigid joints, Computers and Structures, Vol 85, 360-374 https://doi.org/10.1016/j.compstruc.2006.11.025
  4. Shon SD, Ha JH and Lee SJ(2012), Nonlinear dynamic analysis of space truss by using multistage homotopy perturbation method, Transactions of the Korean Society for Noise and Vibration Engineering, Vol 22(9), 879-888 https://doi.org/10.5050/KSNVE.2012.22.9.879
  5. Huseyin K(1973), The multi-parameter perturbation technique for the analysis of nonlinear system, International Journal of Nonlinear Mechanics, Vol 8(5), 431-443 https://doi.org/10.1016/0020-7462(73)90035-8
  6. Abedi K and Parke GAR(1991), Progressive collapse of single-layer braced domes, International Journal of Space Structures, Vol 11(3), 291-306
  7. Choong KK and Hangai Y(1993), Review on methods of bifurcation analysis for geometrically nonlinear structures, Bulletin of the International Association for Shell and Spatial structures, Vol 34(112), 133-149
  8. Choong KK and Kim JY(2001), A numerical strategy for computing the stability boundaries for multi-loading systems by using generalized inverse and continuation method, Engineering Structures, Vol 23, 715-724 https://doi.org/10.1016/S0141-0296(00)00071-7
  9. Bergan, PG(1980), Solution algorithms for nonlinear structural problems, Computers and Structures, Vol.12, 497-509 https://doi.org/10.1016/0045-7949(80)90125-X
  10. Bulenda Th and Knippers J(2001), Stability of grid shells, Computers and Structures, Vol 79, 1161-1174 https://doi.org/10.1016/S0045-7949(01)00011-6
  11. Chan SL and Zhou ZH(1995), Second-order elastic analysis of frames using single imperfect element per member, Journal of Structural Engineering, Vol 121, 939-945 https://doi.org/10.1061/(ASCE)0733-9445(1995)121:6(939)
  12. Kato S, Yamashita T, Nakazawa S, Kim Y and Fujibayashi A(2007), Analysis based evaluation for buckling loads of two-way elliptic paraboloidal single layer lattice domes, Journal of Constructional Steel Research, Vol 63, 1219-1227 https://doi.org/10.1016/j.jcsr.2006.11.014
  13. Shon SD, Kim SD, Kang MM, Lee SG and Song HS(2002), Nonlinear instability analysis of framed space structures with semi-rigid joints, Proceeding of the IASS symposium 2002, Warsaw, 422-427
  14. Hwang KJ and Knippers J(2010), Stability of single layered grid shells with various connectors, Proceeding of the ICSA 2010 Guimaraes, Portugal, 581-588
  15. Fan FMH, Cao Z and Shen SA(2011), new classification system for the joints used in lattice shells, Thin-Walled Structures, Vol 49, 1544-1553 https://doi.org/10.1016/j.tws.2011.08.002
  16. Steinboeck A, Jia X, Hoefinger G and Mang HA(2008), Conditions for symmetric, antisymmetric, and zero-stiffness bifurcation in view of imperfection sensitivity and insensitivity, Computer methods in applied mechanics and engineering, Vol 197, 3623-2626 https://doi.org/10.1016/j.cma.2008.02.016
  17. Jung HM(1997), An effect of equipment-loading on the buckling characteristics of single-layer latticed domes, Journal of Korean society of steel construction, Vol 9(3), 323-332
  18. Kwan TJ, Kim SD and Kim JM(1997), A study on the unstable behavior of pin-connected single-layer latticed domes considering geometric nonlinearity, Proceedings of the Computational Structural Engineering Institute Conference, Vol 10(1), 240-247
  19. Kim JK and Han SE(1998), The geometrically nonlinear analysis of single layer latticed domes by mode superposition method, Journal of Architectural Institute of Korea-Structure & Construction, Vol 14(4), 317-325
  20. Lee KS and Han SE(2009), A development of analytical strategies for elastic bifurcation buckling of the spatial structures, Journal of Korean society of steel construction, Vol 21(6), 563-574
  21. Shon SD, Kim SD, Hwang KJ and Kang MM(2003), A study of nonlinear unstable phenomenon of framed space structures considering joint rigidity, Journal of Korean Association for Spatial Structures, Vol 3(1), 87-97
  22. Moon HS, An SG, Shon SD, Lee DW and Kim SD(2006), A study on buckling load characteristic of Songdo Convention Center with initial imperfection and joint rigidity, Proceedings of KASS symposium 2006, Vol 3(1), 191-204
  23. Kim NS, Shon SD and Kim SD(2008), A study on the Unstable behavior according to load and boundary condition of shelled space frame structures, Proceedings of KASS symposium 2008, Vol 5(1), 80-85
  24. Shon SD, Kim SD, Lee SJ and Kim JS(2011), A study on the critical point and bifurcation according to load mode of dome-typed space frame structures, Journal of Korean Association for Spatial Structures, Vol 11(1), 121-130 https://doi.org/10.9712/KASS.2011.11.1.121
  25. Lee SJ and Shon SD(2012), Characteristics of buckling load and bifurcation in accordance with rise-span ratio of space truss considering initial imperfection, Journal of Korean society of steel construction, Vol 24(3), 337-348 https://doi.org/10.7781/kjoss.2012.24.3.337

피인용 문헌

  1. Unstable Behaviour and Critical Buckling Load of Framed Large Spatial Structures in accordance with the Variation of Joint Rigidity vol.14, pp.3, 2014, https://doi.org/10.9712/KASS.2014.14.3.047
  2. A Study on the Shape Modeling and Structural Stability of an Icosahedron-typed Modular Dome vol.15, pp.2, 2015, https://doi.org/10.9712/KASS.2015.15.2.051
  3. Buckling Load of Single-layered Lattice Roof Structure Considering Asymmetric Snow Load vol.15, pp.3, 2015, https://doi.org/10.9712/KASS.2015.15.3.043
  4. The Dynamic Buckling and Critical Load of the Spatial Truss under the Beating-wave Load vol.32, pp.7, 2016, https://doi.org/10.5659/JAIK_SC.2016.32.7.23