Skip to main content
SpringerLink
Log in

Numerical evaluation of buckling behavior in space structure considering geometrical parameters with joint rigidity

  • Published:
Journal of Central South University Aims and scope Submit manuscript

Abstract

The buckling behavior of single layer space structure is very sensitive. The joint rigidity, moreover, is one of the main factors of stability which may determine the entire failure behavior. Thus, the reasonable stiffness of joint system, which is neither total pin assumption nor perfect fix condition, is very important to apply to the real single layer space one. Therefore, the purpose of this work was to investigate the buckling behavior of single layer space structure, using the development of the upgraded stiffness matrix for the joint rigidity. To derive tangential stiffness matrix, a displacement function was assumed using translational and rotational displacement at the node. The geometrical nonlinear analysis was simulated not only with perfect model but also with imperfect one. As a result, the one and two free nodal numerical models were investigated using derived stiffness matrix. It was figured out that the buckling load increases in proportion to joint rigidity with rise-span ratio. The stability of numerical model is very sensitive with the initial imperfection, responding of bifurcation in the structure.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. LEE S J, SHON S D. Tensile strength characteristics on ETFE film for membrane roof system [J]. Journal of Applied Mechanics and Materials, 2013, 365/366: 1106–1109.

    Article  Google Scholar 

  2. SHON S D, LEE S J, LEE G K. Characteristics of bifurcation and buckling load of space truss in consideration of initial imperfection and load mode [J]. Journal of Zhejiang University-Science A, 2013, 14(3): 206–218.

    Article  Google Scholar 

  3. FAN F, YAN J, CAO Z. Elasto-plastic stability of single-layer reticulated domes with initial curvature of members [J]. Thin-Walled Structures, 2012, 60: 239–246.

    Article  Google Scholar 

  4. LOPEZ A, PUENTE I, SERNA M A. Numerical model and experimental tests on single-layer latticed domes with semi-rigid joints [J]. Computers and Structures, 2007, 85: 360–374.

    Article  Google Scholar 

  5. YAMADA S, MATSUMOTO Y, SAKAMOTO A, CROLL J G A. Design estimation method of buckling load and the associated mode for single layer lattice dome roof with square plan [C]// Proceeding of the IABSE-IASS Symposium. London: IASS, 2011: 72.

    Google Scholar 

  6. HUSEYIN K. The multi-parameter perturbation technique for the analysis of nonlinear system [J]. International Journal of Nonlinear Mechanics, 1973, 8(5): 431–443.

    Article  MATH  Google Scholar 

  7. CHOONG K K, HANGAI Y. Review on methods of bifurcation analysis for geometrically nonlinear structures [J]. Bulletin of the International Association for Shell and Spatial Structures, 1993, 34(112): 133–149.

    Google Scholar 

  8. ABEDI K, PARKE G A R. Progressive collapse of single-layer braced domes [J]. International Journal of Space Structures. 1991, 11(3): 291–306.

    Google Scholar 

  9. CHOONG K K, KIM J Y. A numerical strategy for computing the stability boundaries for multi-loading systems by using generalized inverse and continuation method [J]. Engineering Structures, 2001, 23: 715–724.

    Article  Google Scholar 

  10. SHON S D, LEE S J. Nonlinear unstable phenomenon and bifurcation of simple space truss system [C]// Proceeding of IASS Symposium. Seoul, 2012: 48.

    Google Scholar 

  11. WOO H J, SHON S D, LEE S J. Unstable phenomenon of flow truss dome with asymmetric load mode [C]// International Conference on Computational Design in Engineering 2012. Jeju: ICCDE, 2012: 217.

    Google Scholar 

  12. BULENDA T H, KNIPPERS J. Stability of grid shells [J]. Computers and Structures, 2001, 79: 1161–1174.

    Article  Google Scholar 

  13. KATO S, NAKAZAWA S, NOBE K, YOSHIDA N. Semi-probabilistic evaluation of buckling strength of two-way single layer lattice dome [C]// Proceeding of the IASS Symposium. Shanghai: IASS, 2010: 384–395.

    Google Scholar 

  14. KATO S, MUTOH I, SHOMURA M. Effect on joint rigidity on buckling strength of single layer lattice dome [J]. Bulletin of the International Association for Shell and Spatial Structures, 1994, 35(115): 101–109.

    Google Scholar 

  15. CHAN S L, ZHOU Z H. Second-order elastic analysis of frames using single imperfect element per member [J]. Journal of Structural Engineering, 1995, 121: 939–945.

    Article  Google Scholar 

  16. HWANG K J, KNIPPERS J. Stability of single layered grid shells with various connectors [C]// Proceeding of the ICSA 2010 Guimaraes. Portugal: ICSA, 2010: 581–588.

    Google Scholar 

  17. FAN F, CAO Z, SHEN S. Elasto-plastic stability of single-layer reticulated shells [J]. Thin-Walled Structures, 2010, 48(10/11): 827–836.

    Article  Google Scholar 

  18. KATO S, YAMASHITA T, NAKAZAWA S, KIM Y, FUJIBAYASHI A. Analysis based evaluation for buckling loads of two-way elliptic paraboloidal single layer lattice domes [J]. Journal of Constructional Steel Research. 2007, 63: 1219–1227.

    Article  Google Scholar 

  19. FAN F, YAN J, CAO Z, ZHOU Q. Calculation methods of stability of single-layer reticulated domes considering the effect of initial bending of members [C]// Proceeding of the IASS Symposium 2010. Shanghai: IASS, 2010: 339–347.

    Google Scholar 

  20. FAN F, MA H, CAO Z, SHEN S. A new classification system for the joints used in lattice shells [J]. Thin-Walled Structures, 2011, 49: 1544–1553.

    Article  Google Scholar 

  21. LÓPEZ A, PUENTE I, SERNA M A. Direct evaluation of the buckling loads of semi-rigidly jointed single-layer latticed domes under symmetric loading [J]. Engineering Structures, 2007, 29(1): 101–109.

    Article  Google Scholar 

  22. CAGLAYAN O, YUKSEL E. Experimental and finite element investigations on the collapse of a Mero space truss roof structure-A case study [J]. Engineering Failure Analysis, 2008, 15(5): 458–470.

    Article  Google Scholar 

  23. BEZERRA L M, DE FREITAS C A S, MATIAS W T, YOSIAKI N. Increasing load capacity of steel space trusses with end-flattened connections [J]. Journal of Constructional Steel Research, 2009, 65(12): 2197–2206.

    Article  Google Scholar 

  24. STEINBOECK A, JIA X, HOEFINGER G, MANG H A. Conditions for symmetric, antisymmetric, and zero-stiffness bifurcation in view of imperfection sensitivity and insensitivity [J]. Computer Methods in Applied Mechanics and Engineering, 2008, 197: 3623–2626.

    Article  MATH  MathSciNet  Google Scholar 

  25. YANG Y B, LIN T J, LEU L J, HUANG C W. Inelastic postbuckling response of steel trusses under thermal loadings [J]. Journal of Constructional Steel Research, 2008, 64(12): 1394–1407.

    Article  Google Scholar 

  26. THAI H T, KIM S E. Large deflection inelastic analysis of space trusses using generalized displacement control method [J]. Journal of Constructional Steel Research, 2009, 65(10/11): 1987–1994.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. School of Architectural Engineering, Korea University of Technology and Education, Cheonan Chungnam, 330-708, Republic of Korea

    Su-Deok Shon & Seung-Jae Lee

  2. School of Architecture, University of Seoul, Seoul, 130-743, Republic of Korea

    Kyung-Ju Hwang

Authors
  1. Su-Deok Shon
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Kyung-Ju Hwang
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Seung-Jae Lee
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Seung-Jae Lee.

Additional information

Foundation item: Project(12 High-tech Urban C11) supported by High-tech Urban Development Program of Ministry of Land, Transport and Maritime Affairs, Korea

Rights and permissions

Reprints and permissions

About this article

Cite this article

Shon, SD., Hwang, KJ. & Lee, SJ. Numerical evaluation of buckling behavior in space structure considering geometrical parameters with joint rigidity. J. Cent. South Univ. 21, 1115–1124 (2014). https://doi.org/10.1007/s11771-014-2044-y

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11771-014-2044-y

Key words

Search

Navigation