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Interactive Shape Optimization with Design Elements

  • John Rasmussen
Conference paper
Part of the Lecture Notes in Engineering book series (LNENG, volume 42)

Abstract

This paper describes an attempt to integrate a shape optimization system into a CAD-environment. Apart from a description of the initial geometry, the optimization task requires several items of additional information to be added. The geometry has to be converted into a finite element or a boundary element model with the proper loads and boundary conditions, the shape of which must be linked with a finite number of variables to allow for the use of a general mathematical programming technique. Finally, information on op-timization criteria must be added. These problems, among others, are solved very conveniently by creating a user specified optimization model of the geometry with the well known “design element” technique. By taking advantage of the highly developed interactive features of a typical CAD-system, the use of shape optimization becomes a natural part of the Computer Aided Design- process.

The technique is implemented in the shape optimization system CA0S which is presently working in connection with the AutoCAD system. A simple example is presented.

Keywords

Design Variable Optimization System Shape Optimization Mesh Generation Design Element 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. [1]
    J. A. Bennett & M. E. Botkin: Structural Shape Optimization with Geometric Description and Adaptive Mesh Refinement. AIAA Journal, vol. 23, no. 4, pp. 458 – 464, 1985.CrossRefGoogle Scholar
  2. [2]
    Björn Esping: OASIS Structural Optimization System.Department of Aeronautical Structures and Materials, The Royal Institute of Technology, Stockholm, Sweden.Google Scholar
  3. [3]
    Hans Eschenauer: Numerical and Experimental Investigations on Structural Optimization of En-gineering Designs. Research Laboratory for Applied Structural Optimization at the Institute of Mechanics and Control Engineering, University of Siegen, Federal Republic of Germany.Google Scholar
  4. [4]
    C. Fleury: Computer Aided Optimal Design of Elastic Structures. C.A. Mota Soares (Ed.): Computer Aided Optimal Design: Structural and Mechani-cal Systems. NATO ASI Series F, Springer Verlag, 1987.Google Scholar
  5. [5]
    Yunliang Ding: Compendium. Shape Optimization of Structures: A Literature Survey. Computers and Structures. vol. 24, no. 6, pp. 985 - 1004, 1986.Google Scholar
  6. [6]
    Cheng Gengdong: A new Computation Scheme for Sensitivity Analysis. To appear, Eng. Opt.Google Scholar
  7. [7]
    B. Barthelemy & R. T. Haftka: Accuracy Analysis of the Semi-Analytical Method for Shape Sensitivity Calcula-tion. Lecture presented at the AIAA/ASME/ASCE 29th Structures, Structural Dynamics and Materials Conference, Williamsburg, Virginia, April 1988.Google Scholar
  8. [8]
    Pauli Pedersen, Gengdong Cheng & John Rasmussen: On Accuracy Problems for Semi-Analytical Sensitivity Analysis. DCAMM report no. 367. The Danish Center for Applied Mathematics and Mechanics, December 1987.Google Scholar
  9. [9]
    Claude Fleury & Vincent Braibant: Structural Optimization: A new Dual Method using Mixed Variables. International Journal for Numerical Methods in Engineering, vol. 23, pp. 409- 428, 1986.Google Scholar

Copyright information

© Springer-Verlag Berlin, Heidelberg 1989

Authors and Affiliations

  • John Rasmussen
    • 1
  1. 1.Institute of Mechanical EngineeringUniversity of AalborgAalborg EastDenmark

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