Skip to main content
SpringerLink
Log in

Optimization of Rigid Steel Frames Using Direct Analysis and Improved Differential Evolution Considering Frequency Constraints

  • Conference paper
  • First Online:
Structural Health Monitoring and Engineering Structures

Part of the book series: Lecture Notes in Civil Engineering ((LNCE,volume 148))

  • 826 Accesses

Abstract

In this paper, the authors present an optimization problem of nonlinear inelastic rigid steel frames that considers both load combinations and frequency constraints for the first time. Direct analysis-based on the beam–column approach is employed to account for the non-geometric and nonlinear behaviors of the structure. The objective function is the total cost of the structure which is simplified as a function of total weight. The constraints of the optimization include the strength and serviceability conditions, and structural frequency requirements. An improved differential evolution algorithm is employed to solve the proposed optimization problem that effectively reduces the number of structural analyses. A three-bay five-story planar frame is studied to illustrate this work. The numerical results show that the optimization design of structures considering both load combinations and structural frequency constraints improves the performance of the structure. Furthermore, the proposed optimization problem was more complicated than the optimization problem without considering structural frequency constraints.

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

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 259.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book
USD 329.99
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

References

  1. Nghia-Nguyen, T., Shukla, S.K., Nguyen, D.D.C., Lam, L.G., H-Dang, P., Nguyen, P.C.: A new discrete method for solution to consolidation problem of ground with vertical drains subjected to surcharge and vacuum loadings. Eng. Comput.; ahead-of-print (2019)

    Google Scholar 

  2. Truong, V.H., Kim, S.E.: An efficient method of system reliability analysis of steel cable-stayed bridges. Adv. Eng. Softw. 114, 295–311 (2017)

    Article  Google Scholar 

  3. Kim, S.E., Truong, V.H.: Reliability evaluation of semi-rigid steel frames using advanced analysis. J. Struct. Eng. 146(5), 04020064 (2020)

    Article  Google Scholar 

  4. Truong, V.H., Vu, Q.V., Thai, H.T., Ha, M.H.: A robust method for safety evaluation of steel trusses using gradient tree boosting algorithm. Adv. Eng. Softw. 147, 102825 (2020)

    Article  Google Scholar 

  5. Truong, V.H., Vu, Q.V., Dinh, V.T.: A deep learning-based procedure for estimation of ultimate load carrying of steel trusses using advanced analysis. J. Sci. Technol. Civil Eng. (STCE)-NUCE 13(3), 113–123 (2019)

    Google Scholar 

  6. Nguyen, P.C., Kim, S.E.: Investigating effects of various base restraints on the nonlinear inelastic static and seismic responses of steel frames. Int. J. Non-linear Mech. 89, 151–167 (2017)

    Article  Google Scholar 

  7. Nguyen, P.C., Kim, S.E.: A new improved fiber plastic hinge method accounting for lateral-torsional buckling of 3D steel frames. Thin-Walled Struct. 127, 666–675 (2018)

    Article  Google Scholar 

  8. Kim, S.E., Truong, V.H.: Reliability-based design optimization of nonlinear inelastic trusses using improved differential evolution algorithm. Adv. Eng. Softw. 121, 59–74 (2018)

    Article  Google Scholar 

  9. Truong, V.H., Kim, S.E.: An efficient method for reliability-based design optimization of nonlinear inelastic steel space frames. Struct. Multidiscip. Optim. 56(2), 331–351 (2017)

    Article  MathSciNet  Google Scholar 

  10. Truong, V.H., Ha, H.M.: Reliability-based design optimization of steel frames using direct design. IOP Conf. Ser.: Mater. Sci. Eng. 869(5), 052009 (2020)

    Article  Google Scholar 

  11. Ha, M.H., Vu, Q.V., Truong, V.H.: Optimization of nonlinear inelastic steel frames considering panel zones. Adv. Eng. Softw. 142, 102771 (2020)

    Article  Google Scholar 

  12. Truong, V.H., Ha, M.H., Anh, P.H., Hoc, T.D.: Optimization of steel moment frames with panel-zone design using an adaptive differential evolution. J. Sci. Technol. Civil Eng. (STCE)-NUCE 14(2), 65–75 (2020)

    Google Scholar 

  13. Truong, V.H., Kim, S.E.: A robust method for optimization of semi-rigid steel frames subject to seismic loading. J. Constr. Steel Res. 145C, 184–195 (2018)

    Article  Google Scholar 

  14. Truong, V.H., Nguyen, P.C., Kim, S.E.: An efficient method for optimizing space steel frames with semi-rigid joints using practical advanced analysis and the micro-genetic algorithm. J. Constr. Steel Res. 128, 416–427 (2017)

    Article  Google Scholar 

  15. Kaveh, A., Zolghadr, A.: Democratic PSO for truss layout and size optimization with frequency constraints. Comput. Struct. 130, 10–21 (2014)

    Article  Google Scholar 

  16. Farshchin, M., Camp, C.V., Maniat, M.: Multi-class teaching–learning-based optimization for truss design with frequency constraints. Eng. Struct. 106, 355–369 (2016)

    Article  Google Scholar 

  17. Thai, H.T., Kim, S.E.: Practical advanced analysis software for nonlinear inelastic dynamic analysis of space steel structures. J. Constr. Steel Res. 67(3), 453–461 (2011)

    Article  Google Scholar 

  18. Kim, S.E., Park, M.H., Choi, S.H.: Direct design of three-dimensional frames using practical advanced analysis. Eng. Struct. 23(11), 1491–1502 (2001)

    Article  Google Scholar 

  19. Orbison, J.G.: Nonlinear static analysis of three-dimensional steel frames. Report No. 82-6, Department of Structural Engineering, Cornell University, Ithaca, New York (1982)

    Google Scholar 

  20. Yang, Y.B., Shieh, M.S.: Solution method for nonlinear problems with multiple critical points. AIAA J. 28(12), 2110–2116 (1990)

    Article  Google Scholar 

  21. Ghannadi, P., Kourehli, S.S.: Multiverse optimizer for structural damage detection: Numerical study and experimental validation. Struct. Des. Tall Special Build. 29(13), e1777 (2020)

    Google Scholar 

  22. Ghannadi, P., Kourehli, S.S.: Structural damage detection based on MAC flexibility and frequency using moth-flame algorithm. Struct. Eng. Mech. 70(6), 649–659 (2019)

    Google Scholar 

Download references

Acknowledgements

This research is funded by Vietnam National Foundation for Science and Technology Development (NAFOSTED) under grant number 107.01-2018.327.

Author information

Authors and Affiliations

  1. Thuyloi University, 175 Tay Son, Dong Da, Hanoi, Vietnam

    Viet-Hung Truong

  2. Faculty of Civil Engineering, Ho Chi Minh City Open University, Ho Chi Minh City, Vietnam

    Phu-Cuong Nguyen

Authors
  1. Viet-Hung Truong
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Phu-Cuong Nguyen
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Viet-Hung Truong .

Editor information

Editors and Affiliations

  1. Department of Civil and Environmental Engineering, Tokyo Institute of Technology, Tokyo, Japan

    Tinh Quoc Bui

  2. Department of Civil engineering, Ho Chi Minh City Open University, Ho Chi Minh, Vietnam

    Le Thanh Cuong

  3. Soete Laboratory, Department of Electrical Energy, Metals, Mechanical Constructions and Systems, Faculty of Engineering and Architecture, Ghent University, Ghent, Belgium

    Samir Khatir

Rights and permissions

Reprints and permissions

Copyright information

© 2021 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

Truong, VH., Nguyen, PC. (2021). Optimization of Rigid Steel Frames Using Direct Analysis and Improved Differential Evolution Considering Frequency Constraints. In: Bui, T.Q., Cuong, L.T., Khatir, S. (eds) Structural Health Monitoring and Engineering Structures. Lecture Notes in Civil Engineering, vol 148. Springer, Singapore. https://doi.org/10.1007/978-981-16-0945-9_9

Download citation

  • DOI: https://doi.org/10.1007/978-981-16-0945-9_9

  • Published:

  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-16-0944-2

  • Online ISBN: 978-981-16-0945-9

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics

Search

Navigation