Abstract
This paper presents a general review of some well established structural optimization techniques along with an outlook of a few particular research directions recently explored by the authors. Special attention is given to the problem of optimization under multiple load combinations in steel structures. Finally a parallel processing strategy for an optimal analysis and design of coupled field-structural problems is presented.
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References
Morris, A. J. (Ed.), (1982), Foundations of structural optimization: A unified approach, John Wiley and Sons, Chichester.
Gellatly, R., (1973), `Survey of the state-of-the-art of optimization technology within NATO countries,’ AGARD Conference Proceedings, AGARD—CP-123, Milan.
Michell, A. G. M., (1904), `The limits of economy of material in frame-structures,’ Phil. Mag. 8, 47, 6, (November).
Prager, W., (1981), `Unexpected results in structural optimization,’ J. Struct. Mech. 9, 1, 71–90.
Rozvany, G. I. N., (1976), Optimal design of flexural systems, Pergamon Press, Oxford.
Ziegler, H. (1958), `Kuppeln gleicher Festigkeit,’ Ingenieur-Archiv, Band X XVI.
Morley, C. T. (1966), `The minimum reinforcement of concrete slabs,’ Int. J. Mech. Sci. 8, 305–319.
Drucker, D. C. and Shield, R. T., (1957), `Bounds on minimum weight design,’ Quart. Appl. Math., XV, 3, 269–281.
Prager, W. and Shield, R. T., (1967), `A general theory of optimal plastic design,’ Trans. ASME, March, 184–186.
Massonnet, C. H., Olszak, E. and Phillips, A., (1979), Plasticity in structural engineering, fundamentals and applications, Springer, CISM Udine.
Prager, W. and Rozvany, G. I. N., (1977), `Optimal layout of grillages,’ J. Struct. Mech. 5, 1.
Save, M. A., (1975), `A general criterion for optimal structural design,’ JOTA 15, 1, 119–129, (January).
Melosh, R. J., (1969), `Convergence in fully-stressed designing,’ AGARD Conf. Proc. No. 36, AGARD-CP-36–70, Istanbul, ( October).
Gallagher, R. H., (1973), “Fully stressed design,’ in Optimum structural design, R. H. Gallagher, and O. C. Zienkiewicz (Eds), John Wiley and Sons, London.
Gellatly, R. A. and Berke, L., `Optimality-criterion-based algorithms,’ ibid.
Artek, E., et al. (Eds.),(1984), New directions in optimal structural design,John Wiley and Sons, Chichester.
Venkayya, V. B., (1971), `Design of optimum structures,’ Computers and Structures 1, 12, 265–309.
Lipp, W., (1980), `Ein Verfahren zur optimalen Dimensionierung allgemeiner Fachwerkkonstruktionen und ebener Rahmentragwerke,’ Techn. wiss. Mitteilungen Nr. 80–3, Ruhr-Universität Bochum, Bochum.
Khot, N. S., (1981), `Algorithms based on optimality criteria to design minimum weight structures,’ Eng. Optimization 5, 73–90.
Gellataly, R. A. et al., (1974), `OPTIM II, A MAGIC-compatible large scale automated minimum weight design program,’ AFFDL-TR-74–97.
Hadley, G., (1964), Nonlinear and dynamic programming, Addison-Weslex, Reading, Mass.
Wilkinson, J. et al.,(1977), ‘FASTOPT-A flutter and strength optimization program for lifting-surface structures,’ J. Aircraft 14 6, 581–587, (June).
Kiusallas, J. and Reddy, G. B. (1977), ‘DESAP - a structural design program with stress and displacement constraints,’ NASA CR-2794.
Thierauf, G. and Tgpcu, A., (1975), `Structural optimization using the force method,’ World Congress FEM Struct. Mech., Bournemouth, October.
Lipp, W. and Thierauf, G., (Sept. 1976), `The role of the force-and displacement-method for the optimization of structures with the Langrangian-multipier-technique,’ IASBE 10th Congress, Tokyo, September.
Gellatly, R. A. and Thom, R. D., (1979), Force method optmization, Rep. No. D2530–953005, Bell Aerospace Textron, ( December).
Rozvany, G. I. N., (1984), `Structural layout theory—the present state of knowledge,’ in New directions in optimum structural design, E. Atrekt (Ed.), John Wiley and Sons, Chichester.
Thierauf, G., (1978), `A method for optimal limit design of structures with alternative loads,’ Comp. Meth. Appl. Mech. Eng. 16, 135–149.
Pape, G., (1979), `Eine quadratische Approximation des Bemessungsproblems idealplastischer Tragwerke,’ Dissertation, Universität Essen.
Pape, G. and Thierauf, G., (1981), `A quadratic approximation of a nonlinear structural design problmen,’ in Physical non-linearities in structural design analysis, J. Hult and J. Lemaitre ( Eds. ), Springer.
Schittkowski, K., (1983), `On the convergence of a sequential quadratic programming method with an augmented Lagrangian line search function,’ Math. Operationsforschung und Statistik, Ser. Optimization 14, 2, 197–216.
Hock, W. and Schittkowski, K., (1983), `A comparative evaluation of 27 nonlinear programming codes,’ Computing 30, 335–358.
Vanderplaats, G. N., (1986), `Numerical optimization techniques,’ Nato-ASI, Computer Aided Optimal Design-Structureal and Mechanical Systems, M. Soares (Ed.), Troia, Portugal.
Eschenauer, H. (Ed.), (1984), Rechnerische und experimentelle Untersuchung zur Strukturoptimierung von Bauweisen, Institut für Mech. und Regelungstechn., Siegen.
Kneppe, G., `Methode der sequentiellen Linearisierung,’ SEQLI, ibid.
Baldur, R., (1972), `Structural optimization by inscribed hyperspheres,’ Proc. Am. Soc. Civ. Eng., J. Eng. Mech. Div., EM3, 503–518, (June).
Fox, R. L., (1971), Optimization methods for engineering design, Addison-Wesley, Reading, Mass.
Collatz, L. and Wetterling, W., (1966), Optimierungsaufgaben, Springer, Berlin.
Schrader, K.-H., (1978), `MESY–Einführung in das Konzept und Benutzeranleitung für das Programmsystem MESY–MINI,’ Techn. wiss. Mitteilungen Nr. 78–11, Ruhr-Unversität-Bochum, Bochum.
Morris, A. J., (1984), `Structural optimization systems,’ in New directions in Optimum structural design, E. Atrek (Ed.), John Wiley and Sons, Chichester.
Harary, F., (1972), Graph theory, Addision-Wesley, Reading, Mass.
Kirsch, U., (1981), Optimum structural design, McGraw Hill, New York.
Steward, D. V., (1965), `Partitioning and tearing systems of equations,’ J . Siam Num. Anal., Ser. B 2, 2, 345–365.
Hörnlein, H. R. E. M., (1986), `Take–off in optimum structural design,’ NATO ASI, Techn. Univ. Lisbon, Troia, Portugal, 1, 205–234, (June).
Thierauf, G. (Ed.), (1985), BandB—Programmsystem zur Berechnung und Bemessung allgemeiner Tragwerke, Universität Essen, Essen.
Booz, W., (1984), `Zweistufenoptimierung von Stahlbetontragwerken mit Hilfe der sequentiellen quadratischen Programmierung,’ Dissertation, Universität Essen.
Booz, G., (1986), `Eine Dekompositionsmethode zur optimalen Bemessung von Tragwerken unter dynamischer Belastung,’ Dissertation, Universität Essen.
Thierauf, G., ‘Optimierung von Stahltrapezprofilen,’ unveröffentlicht.
Jüdt, B., (1989), PREFEM–A General Purpose F.E. Pre-processor,’ Universität–GHS–Essen, Fachbereich Bauwesen, Baumechanik/Statik.
Jüdt, B. and Kayvantash, K., (1989), POSTFEM—A General Purpose F.E. Post-processor,’ Universität–GHS–Essen, Fachbereich Bauwesen, Baumechanik/Statik.
Kayvantash, K., (1989), `BandB_T–Program For the Analysis and Design of Structures under Temperature Loading,’ Universität–GHS–Essen, Fachbereich Bauwesen, Baumechanik/Statik.
Kayvantash, K., (1989), `Optimal Design of Structures Subject to Simultaneous Mechanical and Thermal Loading,’ Doctorate Thesis, Universität–GHS–Essen, Fachbereich Bauwesen, Baumechanik/Statik, to be published.
Kayvantash, K. and Zacharias, A., (1988), ‘BandB/BandB_T: A Program for the Analysis, Design and Optimization of Structures,’ Proceeding of 2nd Cryogenic Technology Review Meeting held at DFVLR Köln–Porz.
Schwarz, H. A., (1869), `Über einige Abbildungsaufgaben,’ Ges. Math. Abh. 11.
DIN 1055—Design loads for buildings, Beuth-Verlag, Köln.
DIN 18800, Part 1 (1981), Steelstructures—Design and construction, Beuth-Verlag, Köln.
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Kayvantash, K., Schilling, U., Thierauf, G. (1992). Optimal Design and Optimization of Structures. In: Topping, B.H.V. (eds) Optimization and Artificial Intelligence in Civil and Structural Engineering. NATO ASI Series, vol 221. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-2490-6_17
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DOI: https://doi.org/10.1007/978-94-017-2490-6_17
Publisher Name: Springer, Dordrecht
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