Skip to main content

The Approximate Equation for Global Buckling Load of Grid Shell Domes

  • Conference paper
  • First Online:
Proceedings of the 3rd International Civil Engineering and Architecture Conference (CEAC 2023)

Abstract

The goal of this study is to propose an approximate equation to evaluate the global buckling load of dome grid shell. For considering the influence of overall stiffness for grid shells, the effective stiffness is defined according to past research. Different from conventionally mechanical methods, this study adopts regression analysis based on a software named “1stOpt” to forecast the relationship between buckling load factors \(\lambda\), geometric parameter and effective stiffness. Through the linear buckling analysis, the dome grid shell models with different geometric parameters, in a total of 1225 cases, are analyzed to build the relationship and establish the dataset. By inputting the dataset into the 1stOpt, a suitably approximate equation is fitted with high precision.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 219.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book
USD 279.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Similar content being viewed by others

References

  1. Wright DT (1965) Membrane forces and buckling in reticulated shells. In: Proceedings of the American society of civil engineers. J Struct Div 21:175–201

    Google Scholar 

  2. Yamada S (1991) Relationship between non-linear numerical experiments and a linear lower bound using finite element method on the overall buckling of reticular partial cylindrical space frames. In: Proceedings of the 4th international conference on computing in civil and building engineering, pp 259–266

    Google Scholar 

  3. Hangai Y (1987) Structural behaviors of single-layer space frames (Part 1)–formulae for buckling loads of single-layer domes. SEISAN KENKYU 39(12):17–20, (In Japanese)

    Google Scholar 

  4. Chen X, Wang N, Shen SZ (1994) Ultimate loading capacity of braced domes. In: IASS-ASCE, Symposium, pp 539–546

    Google Scholar 

  5. Kato S, Yamashita T (2002) Evaluation of elasto-plastic buckling strength of two-way grid shells using continuum analogy. Int J Space Struct 17(4):249–261

    Article  Google Scholar 

  6. López A, Puente Iñigo, Serna MA (2007) Direct evaluation of the buckling loads of semi-rigidly jointed single-layer latticed domes under symmetric loading. Eng Struct 29(1):101–109

    Google Scholar 

  7. Altuna-Zugasti AM, Lopez-Arancibia A, Puente I (2012) Influence of geometrical and structural parameters on the behaviour of squared plan-form single-layer structures. J Constr Steel Res 72:219–226

    Article  Google Scholar 

  8. Zhu S, Ohsaki M, Guo Z (2021) Prediction of non-linear buckling load of imperfect reticulated shell using modified consistent imperfection and machine learning. Eng Struct 226

    Google Scholar 

  9. Liu B, Chen PS, Yan X, Jin J (2022) Approximate equation for evaluating global buckling load of single-layer cylindrical space frames with crossing pattern. In: 2022 annual symposium of international association for shell and spatial structures, 13th Asian-Pacific conference on shell and spatial structures

    Google Scholar 

  10. Makowski ZS (1984) Analysis, design and construction of braced domes. New York

    Google Scholar 

  11. Heki K (1977) Structural mechanics II. Japan (In Japanese)

    Google Scholar 

  12. Dong S (1958) Analysis of lattice flat shells consisting of lamella arch system. China Civ Eng J 18(3):3–19 (in Chinese with English abstract)

    Google Scholar 

  13. Jin J, Qian X, Chen PS (2021) Study on buckling characteristics of cylindrical and domed 1.5-layer space frames with lap-units. J Struct Eng Architectural Inst Japan 67B:251–260

    Google Scholar 

  14. Chair of Working Group 8, Draft Guide to Buckling Load Evaluation of Metal Reticulated Roof Structures. The International Association for Shell and Spatial Structures (2014)

    Google Scholar 

  15. Cheng X, Wang Y, Liu H (2009) Study on optimal regulation modelling of reservoir discharge. In: Advances in water resources and hydraulic engineering. Springer, Berlin

    Google Scholar 

  16. Zhang D (2016) A coefficient of determination for generalized linear models. The American Statistician 71(4)

    Google Scholar 

Download references

Acknowledgements

The author LIU would like to show his sincere gratitude to ASSURAN International Scholarship Foundation for supporting his life of studying abroad.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Pei-Shan Chen .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2024 The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Liu, B., Chen, PS., Jin, J., Yan, X. (2024). The Approximate Equation for Global Buckling Load of Grid Shell Domes. In: Casini, M. (eds) Proceedings of the 3rd International Civil Engineering and Architecture Conference. CEAC 2023. Lecture Notes in Civil Engineering, vol 389. Springer, Singapore. https://doi.org/10.1007/978-981-99-6368-3_24

Download citation

  • DOI: https://doi.org/10.1007/978-981-99-6368-3_24

  • Published:

  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-99-6367-6

  • Online ISBN: 978-981-99-6368-3

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics