Skip to main content
SpringerLink
Log in

2-D and 3-D shape optimization using mesh velocities to integrate analytical sensitivities with associative CAD

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

Abstract

The design sensitivities generated with the mesh velocity method, used by the authors, are compared with those obtained by the boundary layer and boundary displacement methods. The effect of adaptive mesh refinement and error control on the quality of the velocity fields is discussed, as well as their ability to yield accurate first-order predictions of constraint values. Two numerical shape optimization examples of a 2D and a 3D component are presented. These examples are used to illustrate the benefits of integrating analytical methods of design sensitivity analysis with parametric capabilities supported by state-of-the-art CAD systems.

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

  • Beckers, P. 1991: Recent developments in shape sensitivity analysis: The physical approach.Eng. Opt. 18, 67–78

    Google Scholar 

  • Bennett, J.A.; Botkin, M.E. 1985: Structural shape optimization with geometric description and adaptive mesh refinement.AIAA J. 23, 458–464

    Google Scholar 

  • Botkin, M.E. 1982: Shape optimization of plate and shell structures.AIAA J. 20, 268–273

    Google Scholar 

  • Botkin, M.E. 1992: Three-dimensional shape optimization using fully automatic mesh generation.AIAA J. 30, 1932–1934

    Google Scholar 

  • Braibant, V.; Fleury, C. 1984: Shape optimal design using B-splines.Comp. Meth. App. Mech. Eng. 44, 247–267

    Google Scholar 

  • Choi, K.K.; Chang, K.H. 1994: A study of design velocity field computation for shape optimal design.Fin. Elem. Anal. Des. 15, 317–341

    Google Scholar 

  • Haug, E.J.; Choi, K.K.; Komkov, V. 1986:Design sensitivity analysis of structural systems. New York: Academic Press

    Google Scholar 

  • Imam, M.H. 1982: Three-dimensional shape optimization.Int. J. Num. Meth. Eng. 18, 661–673

    Google Scholar 

  • Intergraph Corporation 1993:EMS basics training guide. Huntsville, Alabama 35894-0001

  • Intergraph Corporation 1994:Intergraph/finite element modelling/solver (I/FEM) training guide. Huntsville, Alabama 35894-0001

  • Kodiyalam, S.; Parthasarathy, V.N. 1992: Optimized/adapted finite elements for structural shape optimization.Fin. Elem. Anal. Des. 12, 1–11

    Google Scholar 

  • Kodiyalam, S.; Virendra, K.; Finnigan, P.M. 1992: Constructive solid geometry approach to three-dimensional structural shape optimization.AIAA J. 30, 1408–1415

    Google Scholar 

  • Lindby, T.; Santos, J.L.T. 1994: Shape design sensitivity analysis and optimization with an existing associative CAD system. In:Proc. 5th AIAA/NASA/USAF/ISSMO Symp. on Multidiscip. and Struct. Optim. (held in Panama City, Fl), pp. 1483–1490

  • Matiak, G.; Schnack, E. 1995: Adaptivity in parametric design model for shape optimization problems.Computer aided design of structures IV, structural optimization, pp. 137–144. Computational Mechanics Publications

  • Santos, J.L.T.; Godse, M.M.; Chang, K.H. 1990: An interactive post-processor for structural design sensitivity analysis and optimization: sensitivity display and what-if study.Comp. & Struct. 35, 1–13

    Google Scholar 

  • Schramm, U.; Pilkey, W.D. 1993: The coupling of geometric descriptions and finite elements using NURBs — a study in shape optimization.Fin. Elem. Anal. Des. 15, 11–34

    Google Scholar 

  • Seong, H.G.; Choi, K.K. 1987: Boundary layer approach to shape design sensitivity analysis.Mech. Struct. Mach. 15, 241–263

    Google Scholar 

  • Yang, R.J. 1989: A three-dimensional shape optimization system-shop 3D.Comp. & Struct. 31, 881–890

    Google Scholar 

  • Yao, T.M.; Choi, K.K. 1989: 3-D shape optimal design and automatic finite element regridding.Int. J. Num. Meth. Eng. 28, 369–384

    Google Scholar 

  • Zhang, W.H. 1992:Calcul des sensibilités et optimisation de forme par la methode des elements finits. Ph.D. Thesis, Université Poly technique Du Nord-Ouest, China (in French)

    Google Scholar 

  • Zhang, W.H.; Beckers, P.; Fleury, C. 1995: A unified parametric design approach to structural shape optimization.Int. J. Num. Meth. Eng. 38, 2283–2292

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Instituto Superior Tecnico, LEMAC, Av. Rovisco Pais 1, P-1096, Lisboa Codex, Portugal

    T. Lindby & J. L. T. Santos

Authors
  1. T. Lindby
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. J. L. T. Santos
    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

Lindby, T., Santos, J.L.T. 2-D and 3-D shape optimization using mesh velocities to integrate analytical sensitivities with associative CAD. Structural Optimization 13, 213–222 (1997). https://doi.org/10.1007/BF01197449

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01197449

Keywords

Search

Navigation