Advertisement

Structural and Multidisciplinary Optimization

, Volume 55, Issue 2, pp 493–512 | Cite as

Stability-ensured topology optimization of boom structures with volume and stress considerations

  • Wenjun Li
  • Qicai Zhou
  • Zhen Jiang
  • Jiadong Deng
  • Wei ChenEmail author
RESEARCH PAPER

Abstract

The boom structure is a key component of giant boom cranes, and the stability-ensured topology optimization is critical to its lightweight design. The finite difference method, direct differentiation or adjoint method needs many time-consuming nonlinear analyses for this problem with a large number of design variables and constraints, and the last two methods are difficult to implement in off-the-shelf softwares. To overcome these challenges, this work first defines a global stability index to measure the global stability of the whole structure, and a compression member stability index to identify the buckling of compression members. Numerical and experimental verifications of these two stability indices are conducted by analyzing a simple three-dimensional frame. Next, the anti-buckling mechanism of boom structures is analyzed to develop the precedence order of freezing relative web members. The stability indices and the freezing measure are then utilized as a part of a novel Stability-Ensured Soft Kill Option (SSKO) algorithm, built upon the existing Soft Kill Option (SKO) method. The objective is to minimize the discrepancy between structural volume and predetermined target volume, while the global stability and stress are regarded as constraints. Lastly, the SSKO algorithm with different scenarios is applied to topology optimization problems of four-section frames and a ring crane boom; in both cases the consistent and stable topologies exhibit applicability of the proposed algorithm.

Keywords

Boom structures Topology optimization Stability index Stability-ensured soft kill option Geometric nonlinearity 

Notes

Acknowledgments

Funding for this research was provided by the National Natural Science Foundation of China (NSFC) under award number 51375345. Financial support for the first author, Wenjun Li, was provided in part by the China Scholarship Council. The views expressed are those of the authors and do not necessarily reflect the views of the sponsors.

References

  1. American Institute of Steel Construction (AISC) (2010) Specification for structural steel buildings ANSI/AISC 360–10. AISC, Chicago, USAGoogle Scholar
  2. Baumgartner A, Harzhem L, Mattheck C (1992) SKO (Soft Kill Option) - the biological way to find an optimum structure topology. Int J Fatigue 14(6):387–393CrossRefGoogle Scholar
  3. Bojczuk D, Mroz Z (1999) Optimal topology and configuration design of trusses with stress and buckling constraints. Struct Optim 17(1):25–35CrossRefGoogle Scholar
  4. Browne PA, Budd C, Gould NIM, Kim HA, Scott JA (2012) A fast method for binary programming using first-order derivatives, with application to topology optimization with buckling constraints. Int J Numer Methods Eng 92(12):1026–1043MathSciNetCrossRefzbMATHGoogle Scholar
  5. Chen J (2011) Stability of steel structures theory and design. Science Press, Beijing, Fifth Edition edn [In Chinese]Google Scholar
  6. Cheng G (2012) Introduction to optimum design of engineering structures. Dalian University of Technology Press, Dalian [In Chinese]Google Scholar
  7. Duysinx P, Sigmund O (1998) New developments in handling stress constraints in optimal material distribution. Paper presented at the 7th AIAA/USAF/NASA/ISSMO Symposium on Multidisciplinary Analysis and Optimization, St. Louis, MOGoogle Scholar
  8. Eschenauer HA, Olhoff N (2001) Topology optimization of continuum structures: a review. Appl Mech Rev 54(4):331–390CrossRefGoogle Scholar
  9. Fan F, Yan J, Cao Z (2012) Stability of reticulated shells considering member buckling. J Constr Steel Res 77:32–42CrossRefGoogle Scholar
  10. Galambos TV (1998) Guide to stability design criteria for metal structures, 5th edn. Wiley, USAGoogle Scholar
  11. Harzheim L, Graf G (2005) A review of optimization of cast parts using topology optimization - I - topology optimization without manufacturing constraints. Struct Multidiscip Optim 30(6):491–497CrossRefGoogle Scholar
  12. Harzheim L, Graf G (2006) A review of optimization of cast parts using topology optimization - II - topology optimization with manufacturing constraints. Struct Multidiscip Optim 31(5):388–399CrossRefGoogle Scholar
  13. Hjelmstad KD, Pezeshk S (1991) Optimal design of frames to resist buckling under multiple load cases. J Struct Eng ASCE 117(3):914–935CrossRefGoogle Scholar
  14. Kemmler R, Lipka A, Ramm E (2005) Large deformations and stability in topology optimization. Struct Multidiscip Optim 30(6):459–476MathSciNetCrossRefzbMATHGoogle Scholar
  15. Lawrence KL (2011) ANSYS tutorial release 13. Stephen Schroff, MissionGoogle Scholar
  16. Li WJ, Zhou QC, Zhang XH, Xiong XL, Zhao J (2013) Topology optimization design of bars structure based on SKO method. Applied Mechan Mat 394(1):515–520Google Scholar
  17. Li WJ, Zhao J, Jiang Z, Chen W, Zhou QC (2015) A numerical study of the overall stability of flexible giant crane booms. J Constr Steel Res 105:12–27CrossRefGoogle Scholar
  18. Lin C-Y, Sheu F-M (2009) Adaptive volume constraint algorithm for stress limit-based topology optimization. Comput Aided Des 41(9):685–694CrossRefGoogle Scholar
  19. Lindgaard E, Dahl J (2013) On compliance and buckling objective functions in topology optimization of snap-through problems. Struct Multidiscip Optim 47(3):409–421MathSciNetCrossRefzbMATHGoogle Scholar
  20. Lindgaard E, Lund E (2010) Nonlinear buckling optimization of composite structures. Comput Methods Appl Mech Eng 199(37–40):2319–2330MathSciNetCrossRefzbMATHGoogle Scholar
  21. Lindgaard E, Lund E (2011) A unified approach to nonlinear buckling optimization of composite structures. Comput Struct 89(3–4):357–370CrossRefzbMATHGoogle Scholar
  22. Lund E (2009) Buckling topology optimization of laminated multi-material composite shell structures. Compos Struct 91(2):158–167CrossRefGoogle Scholar
  23. Manickarajah D, Xie YM, Steven GP (2000) Optimisation of columns and frames against buckling. Comput Struct 75(1):45–54CrossRefGoogle Scholar
  24. Mase GT, Mase GE (1999) Continuum mechanics for engineers, 2nd edn. CRC Press, New YorkzbMATHGoogle Scholar
  25. Ohsaki M, Ikeda K (2007) Stability and optimization of structures generalized sensitivity analysis. Springer, New YorkCrossRefzbMATHGoogle Scholar
  26. Pyrz M (1990) Discrete optimization of geometrically nonlinear truss structure under stability constraints. Struct Optimiz 2(2):125–131CrossRefGoogle Scholar
  27. Rozvany GIN, Sobieszczanski-Sobieski J (1992) New optimality criteria methods: forcing uniqueness of the adjoint strains by corner-rounding at constraint intersections. Struct Optimiz 4(3):244–246CrossRefGoogle Scholar
  28. Shen Z, Su C, Luo Y (2007) Application of strut model on steel spatial structure. Building Struct 37(1):8–11 [In Chinese]Google Scholar
  29. Sigmund O, Maute K (2013) Topology optimization approaches - a comparative review. Struct Multidiscip Optim 48(6):1031–1055MathSciNetCrossRefGoogle Scholar
  30. The electronic universal testing machine RGM-4300. (2014) REGER. http://www.reger.com.cn
  31. The VIC-3D System. (2014) Correlated Solutions, Inc. http://www.correlatedsolutions.com
  32. Tortorelli DA, Michaleris P (1994) Design sensitivity analysis: overview and review. Inverse Prob Eng 1(1):71–105CrossRefGoogle Scholar
  33. Yura JA (2006) Five Useful Stability Concepts. Paper presented at the Proceedings of the 2006 Structural Stability Research Council Annual Stability Conference, San Antonio, TexasGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2016

Authors and Affiliations

  • Wenjun Li
    • 1
    • 2
  • Qicai Zhou
    • 1
  • Zhen Jiang
    • 2
  • Jiadong Deng
    • 2
  • Wei Chen
    • 2
    Email author
  1. 1.School of Mechanical EngineeringTongji University, ShanghaiShanghaiChina
  2. 2.Department of Mechanical EngineeringNorthwestern UniversityEvanstonUSA

Personalised recommendations