Skip to main content
SpringerLink
Log in

Nonlinear programming by cumulative approximation refinement

  • Research Papers
  • Published:
Structural optimization Aims and scope Submit manuscript

Abstract

A mathematical programming method particularly suited for structural and multidisciplinary optimization problems is presented. It is based on the idea that all available information about the problem should be used in the attempt to obtain rapid convergence. Thus, it uses information from previous iterations to produce steadily improving approximations of the implicit objective and constraint functions of the problem. In some cases, this creates a response surface type of approximation. The ability of the method to store known information about the behaviour of the problem makes it well-suited for practical multidisciplinary optimization.

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

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  • Arora, J.S. 1989:Introduction to optimum design. New York: McGraw-Hill

    Google Scholar 

  • Barthelemy, J.-F.M.; Haftka, R.T. 1993: Approximation concepts for optimum structural design — a review.Struct. Optim. 5, 129–144

    Google Scholar 

  • Esping, B. 1986: The OASIS structural optimization system.Comp. & Struct. 23, 365–377

    Google Scholar 

  • Farin, G. 1990:Curves and surfaces for computer aided geometrical design (2nd edition). New York: Academic Press

    Google Scholar 

  • Fleury, C. 1986: Structural optimization: a new dual method using mixed variables.Int. J. Num. Meth. Eng. 23, 409–428

    Google Scholar 

  • Fröberg, C.-E. 1966:Introduction to numerical analysis. Reading, MA: Addison-Wesley

    Google Scholar 

  • Mortensson, M.E. 1985:Geometric modeling. New York: John Wiley and Sons

    Google Scholar 

  • Rasmussen, J. 1990a: The structural optimization system CAOS.Struct. Optim. 2, 109–116

    Google Scholar 

  • Rasmussen, J. 1990b: Structural optimization by accumulated function approximation.Report 20, Inst. of Mechanical Engineering, Aalborg University

  • Svanberg, K. 1987: The method of moving asymptotes — a new method for structural optimization.Int. J. Num. Meth. Eng. 24, 359–373

    Google Scholar 

  • Vanderplaats, G.N. 1984:Numerical optimization techniques for engineering design. New York: McGraw-Hill

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institute of Mechanical Engineering, Aalborg University, Pontoppidanstraede 101, DK-9220, Aalborg, Denmark

    J. Rasmussen

Authors
  1. J. Rasmussen
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Rasmussen, J. Nonlinear programming by cumulative approximation refinement. Structural Optimization 15, 1–7 (1998). https://doi.org/10.1007/BF01197431

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01197431

Keywords

Search

Navigation