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Non-numerical modeling techniques in structural optimization

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Structural optimization encompasses much more than just solving numerical optimization problems. As computer capabilities increase, the entire process of modeling structural optimization problems must be considered. In particular, the creation, transformation and evaluation of the underlying concepts, rather than just brute numerical power, are becoming a more and more dominant factor in finding safe-guarded solutions. In this paper a layer-based model of the total structural optimization process is presented. Each layer contains individual components, a major number of which are of non-numerical nature.

Computerization of the non-numerical components requires new programming paradigms. The selection of an appropriate optimization method, to be discussed as a typical non-numerical problem, is difficult because a wide variety of distinct methods exist. Therefore, automated assistance based upon experience and knowledge gained through current research is of prime interest.

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  1. Arora, J.; Baenzinger, G. 1986: Uses of artificial intelligence in design optimization.Comp. Meth. Appl. Mech. Eng. 54, 303–323

  2. Balachandran, M.; Gero, J.S. 1987: A knowledge-based approach to mathematical design modeling and optimization.Eng. Opt. 12

  3. Hartmann, D. 1986: Selection and evaluation of structural optimization strategies by means of expert systems. In: Niku Lari, A. (ed.)Structural analysis systems,5, pp. 39–55. Oxford: Pergamon Press

  4. Hartmann, D. 1988: Knowledge acquisition for expert system aided structural optimization by means of transformation methods and primal methods. In:GAMM Seminar “Strukturoptimierung”, Univ. of Siegen

  5. Hu, P.W.; Deshmukh, A.M. 1988: An expert system for selecting methods for solving nonlinear programming problems, Dept. of Mech. and Ind. Eng., Texas University, El Paso

  6. Lehner, K. 1991:The use of knowledge based systems in structural optimization. Ph.D. Thesis, Ruhr-University-Bochum (in German)

  7. Li, H.L. 1985:Design optimization with global and local knowledge. Ph.D. Thesis, Dept. of Mech. Eng., University of Michigan, Ann Arbor

  8. Minsky, M. 1975: A framework for representing knowledge. In: Winston, P. (ed.)The psychology of computer vision. New York: McGraw-Hill

  9. Papalambros, P. 1986: Knowledge-based systems in optimal design. In: Mota Soares, C.A. (ed.)Computer aided optimal design: structural and mechanical systems, pp. 759–804. Berlin, Heidelberg, New York: Springer

  10. Pinto, I.C. 1989:Knowledge based assistance in solving optimum problems. Ph.D. Thesis, Univ. Dortmund (in German)

  11. Rao, J.R.; Papalambros, P. 1987: Implementation of semiheuristic reasoning for boundedness analysis of design optimization models.Proc. ASME Design Automation Conf. (held in Boston)

  12. Rich, E. 1983:Artificial intelligence. New York: Mc-Graw Hill

  13. Schittkowski, K. 1988: EMP: An expert system for mathematical programming. In: Kurzhanski, Neumann, Pallaschke (eds.)Optimization, parallel processing and applications. Lecture Notes in Econ. and Math. Systems304. Berlin, Heidelberg, New York: Springer

  14. Schittkowski, K. 1991: Heuristic reasoning in mathematical programming.Informatica, Lithuanian Academy of Science 2

  15. Schulze, K.; Cryer, C.W. 1987: NAXPERT, a prototype expert system for numerical software.Report, Univ. Münster

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

  17. Vanderplaats, G.N. 1987:A Fortran program for automated design synthesis, version 2.01. Santa Barbara, CA: Engineering Design Optimization, Inc.

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Hartmann, D., Lehner, K. Non-numerical modeling techniques in structural optimization. Structural Optimization 4, 172–178 (1992). https://doi.org/10.1007/BF01742740

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  • Optimization Process
  • Individual Component
  • Modeling Technique
  • Structural Optimization
  • Entire Process