Interactive Shape Optimization with Design Elements

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


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.




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  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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