Skip to main content
SpringerLink
Log in

Topology optimization of planar cross-sections

  • Brief Notes
  • Published:
Structural optimization Aims and scope Submit manuscript

Abstract

Topology optimization provides a rigorous method for the conceptual design of structural components. In this note, a practical approach for solving topology optimization problems of planar cross-sections is discussed. A problem formulation involving the use of continuous design variables is presented, and a standard nonlinear programming algorithm is used to solve the optimization problem. Results of the technique for two examples are presented and compared to similar results in the literature.

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

References

  • Anagnostou, G.; Ronquist, E.M.; Patera, A.T. 1992: A computational procedure for part design.Comp. Meth. Appl. Mech. Eng. 97, 33–48

    Google Scholar 

  • Chapman, D.; Saitou, K.; Jakiela, M 1993: Genetic algorithms as an approach to configuration and topology design.Proc. 1993 ASME Design Automation Conf. pp. 1–14

  • Crane, R.L.; Hillstrom, K.E.; Minkoff, M. 1980: Solution of the general nonlinear programming problem with subroutine VMCON.Report ANL-80-64, Argonne National Laboratory, Illinois

    Google Scholar 

  • Hou, J.W.; Chen, J.L. 1985: Shape optimization of clastic hollow bars.Trans. ACM 107, 100–105

    Google Scholar 

  • Lasdon, L.S.; Warren, A.D.; Jain, A.; Ratner, M. 1978: Design and testing of a generalized reduced gradient code for nonlinear programming.ACM Trans. Mathematical Software, pp. 35–50

  • Rozvany, G.I.N.; Zhou, M.; Birker, T. 1992: Generalized shape optimization withotit homogenization.Struct. Optim. 4, 250–252

    Google Scholar 

  • Sandgren, E.; Jensen, E.; Welton, J. 1990: Topological design of structural components using genetic optimization methods. In:Sensitivity analysis and optimization with numerical methods,115, pp. 31–43. ASME

  • Schittkowski, K. 1984: Design, implementation, and test of a nonlinear programming algorithm.Report, Institut für Informatik, Stuttgart University

  • Schramm, U.; Pilkey, W.D. 1992: Structural shape optimization for the torsion problem using direct integration and B-splines.Comp. Meth. Appl. Mech. Eng. 107, 251–268

    Google Scholar 

  • Suzuki, K.; Kikuchi, N. 1991: A homogenization method for shape and topology optimization.Comp. Meth. Appl. Eng. 93, 291–318

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Ford Motor Company, Advanced Vehicle Technology, 3632 SRL, P.O. Box 2053, 48121-2053, Dearborn, MI, USA

    M. Chirehdast

  2. Department of MEAM, The University of Michigan, 48109, Ann Arbor, MI, USA

    S. D. Ambo

Authors
  1. M. Chirehdast
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. S. D. Ambo
    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

Chirehdast, M., Ambo, S.D. Topology optimization of planar cross-sections. Structural Optimization 9, 266–268 (1995). https://doi.org/10.1007/BF01743982

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01743982

Keywords

Search

Navigation