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Structural optimization using incremental equations and sequential linear programming

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Abstract

This paper discusses the use of the incremental equations of structural mechanics and the technique of sequential linear programming as a general solver for structural optimization problems. The use of the incremental equations simplifies the formation of the problem, while sequential linear programming provides a trusted tool for its solution. Examples from design for allowable stress, specified displacements, buckling, and optimal shape are included. It is concluded that these methods comprise a simple tool for use by the structural engineer.

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References

  • Arbel A (1993) Exploring interior-point linear programming. MIT Press, Cambridge, MA

    MATH  Google Scholar 

  • Damkilde L, Hoyer O, Krenk S (1994) A direct linear programming solver in C for structural applications. Comput Struct 52(3):511–528

    Article  MATH  Google Scholar 

  • Keller JB (1960) The shape of the strongest column. Arch Ration Anal Mech 5:275–285

    Article  Google Scholar 

  • Lamberti L, Pappalettere C (2000) Comparison of the numerical efficiency of different sequential linear programming based algorithms for structural optimization problems. Comput Struct 76:713–728

    Article  Google Scholar 

  • Lamberti L, Pappalettere C (2004) Improved sequential linear programming formulation for structural weight minimization. Comput Methods Appl Mech Eng 193:3493–3521

    Article  MATH  Google Scholar 

  • Luenberger DG (1984) Linear and nonlinear programming. Addison-Wesley, Reading, MA

    MATH  Google Scholar 

  • Soondal P The linear programming solver LPAKO is described completely at http://www.ici.ro/camo/linear/lpako.htm

  • Spillers WR (1975) Iterative structural design. North Holland, Amsterdam. (This book is available online at http://web.njit.edu/civil/ fabric/optim/indx2.html)

  • Spillers WR, Singh S, Levy R (1981) Optimization with frequency constraints. J Struct Div ASCE 107(ST12):2337–2347

    Google Scholar 

  • Wang D, Zhang WH, Jiang JS (2002) Truss shape optimization with displacement constraints. Comput Methods Appl Mech Eng 191:3597–3612

    Article  MATH  Google Scholar 

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Correspondence to W. R. Spillers.

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MacBain, K., Spillers, W.R. Structural optimization using incremental equations and sequential linear programming. Struct Multidisc Optim 32, 423–426 (2006). https://doi.org/10.1007/s00158-005-0589-y

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  • DOI: https://doi.org/10.1007/s00158-005-0589-y

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