A method for selecting macro-scale structures with axially loaded members

  • Damiano Pasini
  • Stuart C. Burgess
  • David J. Smith
Article

Abstract

This paper presents a method to support the selection of lightweight large-scale structures. The method enables the ranking of alternative structural forms, whose axially loaded members can resist to either instability failure or material yield. Unlike previous approaches for concept design, this work models buckling failure to assess the interaction between the choice of a structural form and the choice of the cross-section shapes of its constituents. Shape transformers and scaling factors are introduced to characterize the structural efficiency of alternative cross-sectional shapes. Such parameters are dimensionless and enable to measure the shape efficiency without specifying the details of the cross-section geometry. The approach eases optimization at the concept design stage and it permits to assess how the selection of the member cross-sections impacts the lightweight potential of the structural topology. The model is used to construct charts for optimizing and selecting alternative forms. The method is applied in an industrial setting in order to compare three different structural concepts for a particular design application. The case study identified the potential performance of three structural forms and gave insight into the selection of the parameters that most influence structural performance.

Keywords

Lightweight design Optimization charts Performance indices Shape transformers Structural concept selection 

References

  1. Ashby, M.F.: Materials and shape. Acta Metall. Mater. 39(6), 1025–1039 (1991)CrossRefGoogle Scholar
  2. Burgess, S.C.: The ranking of efficiency of structural layouts using form factors. J. Eng. Sci. 212, 117–128 (1998)Google Scholar
  3. Burgess, S.C., Pasini, D., Smith, D.J.: Form factors: A design method to support the selection of structural concepts. ICED 01, pp. 179–186, Glasgow, 21–23 (2001)Google Scholar
  4. Caldwell, J.B., Woodhead, R.G.: Ship structures: some possibilities for improvement. North East Cost Institution – Inst. Eng. & Shipbuilders – Transaction, vol. 89, pp. 101–120 (1973)Google Scholar
  5. Case, J., Chilever, L., Ross, C.T.F.: Strength of materials and structures. Arnold, London (1999)Google Scholar
  6. Chan, A.S.L.: The Design of Michell Optimum Structures. The college of Aeronautics, Cranfield Report 142 (1960)Google Scholar
  7. Chan, H.S.Y.: Optimum Michell Frameworks for Three Parallel forces. The College of Aeronautics, Cranfield Report 167 (1963)Google Scholar
  8. Cox, H.L.: The Design of Structures of Least Weight. Pergamon Press, Oxford (1965)Google Scholar
  9. Engesser, F.: Ueber die Knickfesrigkeit Gerader StTMbe. Zeitschrift for Architektur und Ingenieurwesen, vol. 35, No. 4 Hannover, reported in Timoshenko, S.P. (1953). History of strength of materials. McGraw-Hill, New York (1889)Google Scholar
  10. Guo, X., Cheng, G.D., Olhoff, N.: Optimum design of truss topology under buckling constraints. Struct. Multidisc. Optim. 30(3), 169–180 (2005)CrossRefGoogle Scholar
  11. Karman, T.: Collected woks of Theodore von Karman. Butterworths Scientific Publications, London (1956)Google Scholar
  12. Michell, A.G.M.: The limits of economy of material in frame-structures. Phil. Mag. 8, 589–597 (1904)Google Scholar
  13. Pasini, D.: Shape transformers for material and shape selection of lightweight beams. J. Mater. Design (2006a) in pressGoogle Scholar
  14. Pasini, D.: Material and shape selection for optimizing flexural vibrations in multilayered resonators. J. Microelectromech. Syst. 15(6), 1745–1758 (2006b)CrossRefGoogle Scholar
  15. Pasini, D., Smith D.J., Burgess S.C.: (2003), Structural efficiency maps for beams subjected to bending. P. Instn. Mech. Engrs. Part L: J. Mater. Design Appl. 217(3), 207–220Google Scholar
  16. Shanley, F.R.: The column paradox. J. Aeronaut. Sci. 13(12) (1946)Google Scholar
  17. Shanley, F.R.: Weight-strength Analysis of Aircraft Structures, 2nd edn. Dover, New York (1960)Google Scholar

Copyright information

© Springer Science+Business Media, Inc. 2007

Authors and Affiliations

  • Damiano Pasini
    • 1
  • Stuart C. Burgess
    • 2
  • David J. Smith
    • 2
  1. 1.Department of Mechanical EngineeringMcGill UniversityMontrealCanada
  2. 2.Department of Mechanical EngineeringBristol UniversityClifton, BristolUK

Personalised recommendations