Skip to main content

Topology Optimization of Tubular Structures

  • Conference paper
Book cover Mechanics and Design of Tubular Structures

Part of the book series: International Centre for Mechanical Sciences ((CISM,volume 394))

  • 365 Accesses

Abstract

Topology optimization is a great part of structural optimization. Structures should be safe and economic. In most cases these two conflicting aspects can be systematically synthesised by optimum design. Economy is achieved by minimizing the cost function and safety is guaranteed by considering the design constraints.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
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. Himmelblau D.M: Applied nonlinear programming. McGraw-Hill, New York. 1972.

    MATH  Google Scholar 

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

    MATH  Google Scholar 

  3. Schittkowski,K.,Zillober,C.,Zotemantel,R.: Numerical comparison of nonlinear programming algorithm for structural optimization. Journal of Structural Optimization, 7 (1994)No. 1/2, 1–19.

    Google Scholar 

  4. Rosenbrock, H.H.: An automatic method for finding the greatest or least value of a function. Computer Journal, 3 (1960) 175–184.

    Article  MathSciNet  Google Scholar 

  5. Hooke,R.,Jeeves, T.A.: Direct search solution of numerical and statistical problems. J.Assoc. Comp. Machinery. 8 (1961) 212–229.

    Article  Google Scholar 

  6. Farkas,J., Jârmai,K.: Analysis and optimum design of metal structures. Balkema Publishers, Rotterdam, Brookfield, 1997, 347 p. ISBN 90 5410 669 7.

    Google Scholar 

  7. Walker,R.J.: An enumerative technique for a class of combinatorical problems, in: Proc. of Symposia in Appl. Math. Amer.Math.Soc.Providence, R.I. 10 (1960), 91–94.

    Google Scholar 

  8. Golomb,S.W. and L.D.Baumert: Backtrack programming, J. Assoc. Computing Machinery, 12 (1965), 516–524.

    Article  Google Scholar 

  9. Lewis,A.D.M.: Backtrack programming in welded girder design, in: Proc. 5th Annual SHARE-ACM-IEEE Design Automation Workshop, Washington, 1968, 28/1–28/9.

    Google Scholar 

  10. Annamalai,N.: Cost optimization of welded plate girders. Dissertation, Purdue Univ. Indianapolis, Ind. 1970.

    Google Scholar 

  11. Jârmai,K.: Optimal design of welded frames by complex programming method. Publ. Techn. Univ. Heavy Ind. Ser.C. Machinery, 37 (1982) 79–95.

    Google Scholar 

  12. Pareto, V.: Cours d’economie politique. Vols. I and II. Lausanne: F. Rouge, 1896.

    Google Scholar 

  13. Von Neumann, J.; Morgenstern, O. (1947): Theory of game and economic behaviour. Princeton: Princeton University Press

    Google Scholar 

  14. Zadeh, L. 1963: Optimality and non-scalar-valued performance criteria. IEEE Trans. Auto. Contr. AC-8

    Google Scholar 

  15. Stadler, W. 1984: Multi-criteria optimization in mechanics (a survey). AMR 37, 277286

    Google Scholar 

  16. Stadler, W. (ed.) 1988: Multi-criteria optimization in engineering and in the sciences. New York: Plenum Press

    Book  Google Scholar 

  17. Cohon, J.L.: Multi-objective programming and planning. New York: Academic Press, 1978.

    Google Scholar 

  18. Osyczka,A.: Multicriterion Optimization in Engineering. Ellis Horwood, Chichester, 1984.

    Google Scholar 

  19. Osyczka,A.: Computer Aided multicriterion optimization system, Krakow: International Software Publishers, 1992.

    Google Scholar 

  20. Eschenauer, H.; Koski, J.; Osyczka, A. (eds.): Multicriterion design optimization: procedures and applications. Berlin Heidelberg, New York: Springer, 1990.

    Book  Google Scholar 

  21. Jendo, S.: Multiobjective optimization. In: Save, M.; Prager, W. (eds.) Structural optimization, volume II: Mathematical programming, 1990, 311–342. New York: Plenum Press

    Google Scholar 

  22. Koski, J.: Bicriterion optimum design method for elastic trusses. Acta Polytechnica Scandynavica, Mech. Engng. Series. 86 (1984)

    Google Scholar 

  23. Jârmai,K.: Single-and multicriteria optimization as a tool of decision support system. Computers in Industry 11 (1989), 249–266.

    Article  Google Scholar 

  24. Jârmai,K.: Decision support system on IBM PC for design of economic steel structures, applied to crane girders. Thin-walled Structures 10 (1990), 143–159.

    Article  Google Scholar 

  25. Likhtarnikov, Y.M., Metal Structures. (in Russian) 1968, Stroyizdat, Moscow.

    Google Scholar 

  26. Pahl, G. and Beelich, K.H., Kostenwachstumsgesetze nach Ähnlichkeitsbeziehungen fur Schweissverbindungen. VDI-Bericht,Nr. 457, 1992, pp. 129–141, Düsseldorf.

    Google Scholar 

  27. Ott, H.H. and Hubka, V., Vorausberechnung der Herstellkosten von Schweisskonstruktionen (Fabrication cost calculation of welded structures). Proc. Int. Conference on Engineering Design ICED,1985, Hamburg, pp. 478–487. Heurista, Zürich.

    Google Scholar 

  28. COSTCOMP, Programm zur Berechnung der Schweisskosten. 1990, Deutscher Verlag für Schweisstechnik, Düsseldorf

    Google Scholar 

  29. Bodt, H.J.M., The Global Approach to Welding Costs. The Netherlands Institute of Welding, 1990, The Hague.

    Google Scholar 

  30. American Petroleum Institute: API Bulletin on Design of flat plate structures. Bul. 2V, 1987, 1edn.

    Google Scholar 

  31. Eurocode 3, Design of steel structures, Part 1.1, 1992, CEN. European Committee for Standardization, Brussels.

    Google Scholar 

  32. DIN 2448 Nahtlose Stahlrohre

    Google Scholar 

  33. DIN 2458 Geschweisste Stahlrohre

    Google Scholar 

  34. Wardenier,J., Kurobane,Y. et al.: Design wide for circular hollow section joints under predominantly static loading. Köln, TUV Rheinland, 1991.

    Google Scholar 

  35. Rondal,J., Würker, K-G., et al.: Structural stability of hollow sections. Köln, TÜV Rheinland. 1992.

    Google Scholar 

  36. Dutta,D. and K-G.Würker: Handbuch Hohlprofile in Stahlkonstruktionen. Köln, TUV Rheinland GmbH, 1988.

    Google Scholar 

  37. Adeli,H. (ed) 1988. Expert systems in construction and structural engineering. London-New York: Chapman and Hall.

    Google Scholar 

  38. Balasubramanyan,K. 1990. A knowledge based expert system for optimum design of bridge trusses. University Microfilms International, Dissertation Information Service, Ann Arbor, Michigan, No. 8812223.

    Google Scholar 

  39. Personal Consultant Easy, Getting Started, Reference Guide 1987, Texas Instruments Incorporated, Austin, Texas.

    Google Scholar 

  40. LEVEL 5 OBJECT 1990, Reference Guide, FOCUS Integrated Data and Knowledge-Based Systems, Information Builders, 1250 Broadway, New York.

    Google Scholar 

  41. Gero,J.S. (ed) 1987. Expert systems in computer-aided design. Amsterdam: Elsevier.

    Google Scholar 

  42. Harmon,P. & B.Sawyer. 1990. Creating expert systems for business and industry. New York: John Wiley and Sons Inc.

    Google Scholar 

  43. Packer,J.A., J. Wardenier et al.. Design guide for rectangular hollow section joints under predominantly static loading. Köln: TÜV Rheinland, 1992.

    Google Scholar 

  44. Farkas,J.and K.Jârmai: Savings in weight by using CHS or SHS instead of angles in compressed struts and trusses, in: Tubular Structures VI. Proceedings of the 6th International Symposium, Melbourne, 1994. Eds. Grundy,P.,Holgate,A.,Wong,B. Balkema, Rotterdam–Brookfield. 417–422.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1998 Springer-Verlag Wien

About this paper

Cite this paper

Jármai, K. (1998). Topology Optimization of Tubular Structures. In: Jármai, K., Farkas, J. (eds) Mechanics and Design of Tubular Structures. International Centre for Mechanical Sciences, vol 394. Springer, Vienna. https://doi.org/10.1007/978-3-7091-2514-4_5

Download citation

  • DOI: https://doi.org/10.1007/978-3-7091-2514-4_5

  • Publisher Name: Springer, Vienna

  • Print ISBN: 978-3-211-83145-8

  • Online ISBN: 978-3-7091-2514-4

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics