Skip to main content
SpringerLink
Log in
SpringerLink
Log in

Structural Design via Evolution Strategies

  • Chapter
Stochastic Programming

Part of the book series: Lecture Notes in Economics and Mathematical Systems ((LNE,volume 423))

  • 444 Accesses

Abstract

The structure of technical systems can have strong influences on their function and costs. However, till now there are no general rules for the structural layout of systems. It is desirable to have procedures which are as much as possible free from external operations and able to arrange the design elements appropriately to optimal structures.

The evolution strategy proves to be successfull to control the design process of several different technical systems, e.g. the structure of neural networks, digital filters and minimum weight trusses.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Achtziger, W.; Bendsøe, M.; Bental, A.; Zowe, J.: Equivalent Displacement Based Formulations for Maximum Strength Truss Topology Design, Report No. 338, University of Bayreuth, Mathematical Institute, 1991.

    Google Scholar 

  2. Achtziger, W.: Truss Topology Design Under Multiple Loading, Report No. 367, University of Bayreuth, Mathematical Institute, 1992.

    Google Scholar 

  3. Bendsøe, M.P.; Kikuchi, N: Generating optimal topologies in structural design using a homogenization method, Computer Methods in Applied Mechanics and Engineering 71, 1988, 197–224.

    Google Scholar 

  4. Ben-Tal, A.; Kočvara, M.; Zowe, J.: Two Nonsmooth Approaches to Simultaneous Geometry and Topology Design of Trusses, Report No. 383, University of Bayreuth, Mathematical Institute, 1992.

    Google Scholar 

  5. De Jong, K.A.: An Analysis of the Behavior of a Class of Genetic Adaptive Systems, Dissertation, University of Michigan, Ann Arbor, 1975.

    Google Scholar 

  6. Dorn, W.S.; Gomory, R.E.; Greenberg, H.J.: Automatic design of optimal structures, Journal de Mécanique 3, 1964, 25–52.

    Google Scholar 

  7. Eggert, H.: Gewichts — und Durchbiegungsminimierung von Fachwerkträgern durch Anwendung der Evolutionsstrategie, Diploma Thesis, Technical University of Berlin, 1990.

    Google Scholar 

  8. Eschenauer, H.; Post, P.U.; Bremicker, M.: Einsatz der Optimierungsprozedur SAPOP zur Auslegung von Bauteilkomponenten, Bauingenieur 63, 1988, 515–526.

    Google Scholar 

  9. Eschenauer, H.: Multidisciplinary Modeling and Optimization in Design Processes, Zeitschrift für angewandte Mathematik und Mechanik ZAMM 72, 1992, T438–447.

    Google Scholar 

  10. Fleury, C.; Braibant, V.: Structural optimization: A new dual method using mixed variables, International Journal for Numerical Methods in Engineering 23, 1986, 409–428.

    Article  Google Scholar 

  11. Görne, T.; Schneider, M.: Design of Digital Filters with Evolutionary Algorithms, in: R.F. Albrecht, C.R. Reeves and N.C. Steele (Eds.): Proceedings of the International Conference on Artificial Neural Nets and Genetic Algorithms, Springer, Wien 1993, 368–374.

    Chapter  Google Scholar 

  12. Greerson, D.E.; Pak, W.H.: Discrete optimal design using a genetic algorithm, in: MP. Bendsøe and C.A. Mota Soares (Eds.): Topology Design of Structures, Kluwer Academic Publishers, 1993, 89–102.

    Chapter  Google Scholar 

  13. Hajela, P.: Genetic Search — An Approach to the Nonconvex Optimization Problem, AIAA Journal 28, 1990, 1205–1210.

    Article  Google Scholar 

  14. Hajela, P.; Lin, C.-Y.: Genetic search strategies in multicriterion optimal design, Structural Optimization 4, 1992, 99–107.

    Article  Google Scholar 

  15. Hajela, P.; Lee, E.; Lin, C.-Y.: Genetic algorithms in structural topology optimization, in: M.P. Bendsøe and C.A. Mota Soares (Eds): Topology Design of Structures, Kluwer Academic Publishers, 1993, 117–133.

    Chapter  Google Scholar 

  16. Hemp, W.S.: Studies in the theory of Michell structures, Proc. Int. Congr. Appl. Mech., Munique, 1964, 621–628.

    Google Scholar 

  17. Herdy, M.: Application of the Evolutionsstrategie to Discrete Optimization Problems, in: H.-P. Schwefel and R. Männer (Eds.): Lecture Notes in Computer Science, Vol. 496, Proceedings of the 1. Workshop Parallel Problem Solving from Nature, Springer, Berlin 1990, 188–192.

    Google Scholar 

  18. Herdy, M.: Reproductive Isolation as Strategy Parameter in Hierarchically Organized Evolution Strategies, in: R. Männer and B. Manderick (Eds.): Proceedings of the Second Conference on Parallel Problem Solving from Nature, Elsevier Science Publishers B. V. (North-Holland), Amsterdam 1992, 207–217.

    Google Scholar 

  19. Herdy, M.: The Number of Offspring as Strategy Parameter in Hierarchically Organized Evolution Strategies, Sig bio newsletter 13, 1993, 2–7.

    Article  Google Scholar 

  20. Höfler, A.; Leyssner, U.; Wiedemann, J.: Optimization of the layout of trusses combining strategies based on Michell’s theorem and on the biological principles of evolution, AGARD Conference Proceedings 123, Second Symposium on Structural Optimization, 1973, A1–A8.

    Google Scholar 

  21. Höfler, A.: Formoptimierung von Leichtbaufachwerken durch Einsatz einer Evolutionsstrategie, Dissertation, Technical University of Berlin, 1976.

    Google Scholar 

  22. Holland, J.H.: Adaptation in Natural and Artificial Systems, University of Michigan Press, Ann Arbor 1975.

    Google Scholar 

  23. Hörnlein, H.: Ein Algorithmus zur Strukturoptimierung von Fachwerkkonstruktionen, Diploma Thesis, University of Munique, 1979.

    Google Scholar 

  24. Jenkins, W.M.: Towards structural optimization via the genetic algorithm, Computers & Structures 40, 1991, 1321–1327.

    Article  Google Scholar 

  25. Kirsch, U: Optimal topologies of truss structures, Computer Methods in Applied Mechanics and Engineering 72, 1989, 15–28.

    Article  Google Scholar 

  26. Kirsch, U: Optimal topologies of structures, Appl. Mech. Rev. 42, 1989,223–239.

    Article  Google Scholar 

  27. Kirsch, U: On the relationship between optimum structural topologies and geometries, Structural Optimization 2, 1990, 39–45.

    Article  Google Scholar 

  28. Kirsch, U.: On singular topologies in optimum structural design, Structural Optimization 2, 1990, 133–142.

    Article  Google Scholar 

  29. Kirsch, U.: Structural Optimization, Fundamentals and Applications, Springer, Berlin 1993.

    Google Scholar 

  30. Kost, S.: Topology Optimization of Trusses by Evolution Techniques, in: R.F. Sincovec et. al. (Eds.): Proceedings of the Sixth SIAM Conference on Parallel Processing for Scientific Computing, Norfolk/ Virginia 1993,628–631.

    Google Scholar 

  31. Koumousis, V.K.: Layout and sizing design of civil engineering structures in accordance with the Euro Codes, in: M.P. Bendsøe and C.A. Mota Soares (Eds.): Topology Design of Structures, Kluwer Academic Publishers, 1993, 103–116.

    Chapter  Google Scholar 

  32. Lawo, M.: Optimierung im Konstruktiven Ingenieurbau, Friedr. Vieweg & Sohn, Braunschweig 1987.

    Google Scholar 

  33. Leyssner, U.: Über den Einsatz Linearer Programmierung beim Entwurf optimaler Leichtbaustabwerke, Dissertation, Technical University of Berlin, 1974.

    Google Scholar 

  34. Lohmann, R.: Selforganization by Evolution Strategy in Visual Systems, in: H.-M. Voigt, H. Mühlenbein and H.-P. Schwefel (Eds.): Evolution and Optimization ’89, Akademie-Verlag, Berlin 1990, 61–68.

    Google Scholar 

  35. Lohmann, R.: Structure Evolution and Incomplete Induction, in: R. Männer and B. Manderick (Eds.): Proceedings of the Second Conference on Parallel Problem Solving from Nature, Elsevier Science Publishers B.V. (North-Holland), Amsterdam 1992, 175–185.

    Google Scholar 

  36. Michell, A.G.M.: The Limits of Economy of Material in Frame-structures, Phil. Mag. S. 6, Vol. 8, No. 47, 1904, 589–597.

    Article  Google Scholar 

  37. Moe, J.: Fundamentals of optimization, Computers & Structures 4, 1974,95–113.

    Article  Google Scholar 

  38. Ostermeier, A.; Gawelczyk, A.; Hansen, N.: A Derandomized Approach to Self Adaptation of Evolution Strategies, Technical Report TR-93–003, Technical University of Berlin, Department of Bionics & Evolution Techniques, July 1993.

    Google Scholar 

  39. Pedersen, P.: On the optimal layout of multi-purpose trusses, Computers & Structures 2, 1972, 695–712.

    Article  Google Scholar 

  40. Rechenberg, I.: Cybernetic Solution Path of an Experimental Problem, Royal Aircraft Establishment, Library Translation 1122, Famborough 1965.

    Google Scholar 

  41. Rechenberg, I.: Evolutionsstrategie — Optimierung technischer Systeme nach Prinzipien der biologischen Evolution, Frommann Holzboog, Stuttgart 1973.

    Google Scholar 

  42. Rechenberg, I.: Evolution Strategy and Human Decision Making, in: H.P. Willumeit (Ed.): Human Decision Making and Manual Control, Elsevier Science Publishers B.V. (North-Holland), Amsterdam 1986, 349–359.

    Google Scholar 

  43. Rechenberg, I.: Evolution Strategy: Nature’s Way of Optimization, in: H.W. Bergmann (Ed.): Lecture Notes in Engineering, Vol. 47, Optimization: Methods and Applications, Possibilities and Limitations, Springer, Berlin 1989.

    Google Scholar 

  44. Rechenberg, I.: Evolutionsstrategien, in: B. Schneider and U. Ranft (Eds.): Simulationsmethoden in der Medizin und Biologie, Springer, Berlin 1978, 84–114.

    Google Scholar 

  45. Rechenberg, I. et. al.: Evolutionsstrategische Strukturbildung in neuronalen Systemen, in: SALGON — Report 2.92–8.92, Technical University of Berlin, Department of Bionics & Evolution Techniques, 1992, to be published in Informatik — Fachberichte.

    Google Scholar 

  46. Rozvany, G.I.N.; Mroz, Z.: Analytical Methods in Structural Optimization, Applied Mechanics Reviews 30, 1977, 1461–1470.

    Google Scholar 

  47. Rozvany, G.I.N., et. al.: Optimal topology of trusses or perforated deep beams with rotational restraints at both ends, Structural Optimization 5, 1993, 268–270.

    Article  Google Scholar 

  48. Schmit, L.A.; Fleury, C.: Discrete-Continuous Variable Structural Synthesis Using Dual Methods, AIAA Journal 18, 1980, 1515–1524.

    Article  Google Scholar 

  49. Schwefel, H.-P.: Experimentelle Optimierung einer Zweiphasendüse, Ber. 35 AEG Forsch. Inst. Proj. MHD — Staustahlrohr, (Nr. 11034/68), Berlin 1968.

    Google Scholar 

  50. Schwefel, H.-P.: Numerische Optimierung von Computer-Modellen mittels der Evolutionsstrategie, Birkhäuser, Basel 1977, see also: Evolutionsstrategie und numerische Optimierung, Dissertation, Technical University of Berlin, 1975.

    Google Scholar 

  51. Schwefel, H.-P.: Numerical Optimization of Computer Models, Wiley &Sons, Chichester 1981.

    Google Scholar 

Download references

Author information

Author notes

  1. Bernd Kost

    Present address: Fachbereich Maschinenbau und Chemieingenieurwesen, Fachhochschule Hamburg, Berliner Tor 21, D - 20 099, Hamburg, Germany

Authors and Affiliations

  1. Department of Bionics & Evolution Technique, Technical University of Berlin, Germany

    Bernd Kost

Authors
  1. Bernd Kost
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Fk. LRT, Universität der Bundeswehr Müchen, D-85577, Neubiberg/München, Germany

    Kurt Marti

  2. Institut für Operations Research, Universität Zürich, Moussonstr. 15, CH-8044, Zürich, Switzerland

    Peter Kall

Rights and permissions

Reprints and permissions

Copyright information

© 1995 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

Kost, B. (1995). Structural Design via Evolution Strategies. In: Marti, K., Kall, P. (eds) Stochastic Programming. Lecture Notes in Economics and Mathematical Systems, vol 423. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-88272-2_5

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-88272-2_5

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-58996-9

  • Online ISBN: 978-3-642-88272-2

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation