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Erschienen in: Structural and Multidisciplinary Optimization 1/2010

01.07.2010 | Research Paper

On the layout optimization of 2D skeletal structures under a single displacement constraint

verfasst von: Demetrios T. Venetsanos, Christopher G. Provatidis

Erschienen in: Structural and Multidisciplinary Optimization | Ausgabe 1/2010

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Abstract

The present paper revisits the problem of minimizing the weight of 2D skeletal structures under a single displacement constraint. The contribution lies on the development of an optimization procedure implementing three new features. The first feature is the formulation of a new and efficient Optimality Criterion-type redesign scheme where no Lagrange multipliers are required. The second feature is the introduction of a new categorization of the structural elements according to which members simultaneously being force-passive and area-active may lead search methods to local minima. The third feature is the application of a typical line-search optimization method on the structural elements diagnosed as force-passive/area-active so that their contribution to the structural weight is minimized and a better design is obtained. The validity of the proposed optimization procedure was successfully tested for determinate and indeterminate skeletal structures.

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Literatur
Zurück zum Zitat Beer FP, Johnston ER Jr (1988) Vector mechanics for engineers: statics, 5th edn. McGraw-Hill, New York Beer FP, Johnston ER Jr (1988) Vector mechanics for engineers: statics, 5th edn. McGraw-Hill, New York
Zurück zum Zitat Belegundu AD, Chandrupatla TR (1999) Optimization concepts and applications in engineering. Prentice-Hall, Englewood CliffsMATH Belegundu AD, Chandrupatla TR (1999) Optimization concepts and applications in engineering. Prentice-Hall, Englewood CliffsMATH
Zurück zum Zitat Bendsoe MP, Sigmund O (2001) Topology optimization: theory, methods and applications. Springer, Berlin Bendsoe MP, Sigmund O (2001) Topology optimization: theory, methods and applications. Springer, Berlin
Zurück zum Zitat Berke L (1990) Structural optimization of large structural systems by optimality criteria methods. NASA TM-105423 Berke L (1990) Structural optimization of large structural systems by optimality criteria methods. NASA TM-105423
Zurück zum Zitat Foulkes J (1954) The minimum-weight design of structural frames. Proc R Soc Lond, A Math Phys Sci 223(1155):482–494CrossRefMathSciNet Foulkes J (1954) The minimum-weight design of structural frames. Proc R Soc Lond, A Math Phys Sci 223(1155):482–494CrossRefMathSciNet
Zurück zum Zitat Gellatly RA, Berke L (1973) Optimality-criterion-based algorithms. In: Gallagher RH, Zienkiewicz OC (eds) Optimum structural design. Wiley, Chichester, pp 33–49 Gellatly RA, Berke L (1973) Optimality-criterion-based algorithms. In: Gallagher RH, Zienkiewicz OC (eds) Optimum structural design. Wiley, Chichester, pp 33–49
Zurück zum Zitat Goldberg DE (1989) Genetic algorithms in search: optimization and machine learning. Kluwer, BostonMATH Goldberg DE (1989) Genetic algorithms in search: optimization and machine learning. Kluwer, BostonMATH
Zurück zum Zitat Khot NS (1981) Algorithms based on optimality criteria to design minimum weight structures. Eng Optim 5:73–90CrossRef Khot NS (1981) Algorithms based on optimality criteria to design minimum weight structures. Eng Optim 5:73–90CrossRef
Zurück zum Zitat Makris P, Provatidis C (2002) Weight minimisation of displacement-constrained truss structures using a strain energy criterion. Comput Methods Appl Mech Eng 191:2159–2177CrossRef Makris P, Provatidis C (2002) Weight minimisation of displacement-constrained truss structures using a strain energy criterion. Comput Methods Appl Mech Eng 191:2159–2177CrossRef
Zurück zum Zitat Makris PA, Provatidis CG, Venetsanos DT (2006) Structural optimisation of thin-walled tubular trusses using a virtual strain energy density approach. Thin-Walled Struct 44:235–246CrossRef Makris PA, Provatidis CG, Venetsanos DT (2006) Structural optimisation of thin-walled tubular trusses using a virtual strain energy density approach. Thin-Walled Struct 44:235–246CrossRef
Zurück zum Zitat Michalewicz Z (1999) Genetic algorithms+data structures=evolution programs. Springer, Berlin Michalewicz Z (1999) Genetic algorithms+data structures=evolution programs. Springer, Berlin
Zurück zum Zitat Michell AGM (1904) The limits of economy of material in frame-structures. Philos Mag 8:589–597 Michell AGM (1904) The limits of economy of material in frame-structures. Philos Mag 8:589–597
Zurück zum Zitat Morris AJ (1982) Foundations of structural optimization: a unified approach. Wiley, Chichester Morris AJ (1982) Foundations of structural optimization: a unified approach. Wiley, Chichester
Zurück zum Zitat Nha Chu D, Xie YM, Hira A, Steven GP (1997) On various aspects of evolutionary structural optimization for problems with stiffness constraints. Finite Elem Anal Des 24:197–212MATHCrossRef Nha Chu D, Xie YM, Hira A, Steven GP (1997) On various aspects of evolutionary structural optimization for problems with stiffness constraints. Finite Elem Anal Des 24:197–212MATHCrossRef
Zurück zum Zitat Patnaik SN, Guptill JD, Berke L (1995) Merits and limitations of optimality criteria method for structural optimization. Int J Numer Methods Eng 38:3087–3120MATHCrossRef Patnaik SN, Guptill JD, Berke L (1995) Merits and limitations of optimality criteria method for structural optimization. Int J Numer Methods Eng 38:3087–3120MATHCrossRef
Zurück zum Zitat Patnaik SN, Gendy AS, Berke L, Hopkins DA (1998) Modified fully utilized design (MFUD) method for stress and displacement constraints. Int J Numer Methods Eng 41:1171–1194MATHCrossRef Patnaik SN, Gendy AS, Berke L, Hopkins DA (1998) Modified fully utilized design (MFUD) method for stress and displacement constraints. Int J Numer Methods Eng 41:1171–1194MATHCrossRef
Zurück zum Zitat Provatidis CG, Venetsanos DT (2003) Performance of the FSD in shape and topology optimization of two-dimensional structures using continuous and truss-like models. In: Cinquini C, Rovati M, Venini P, Nascimbene R (eds) Proceedings fifth world congress of structural and multidisciplinary optimization, 19–23 May 2003, Lido di Jesolo, Italy. Schönenfeld & Ziegler, pp 385–386 Provatidis CG, Venetsanos DT (2003) Performance of the FSD in shape and topology optimization of two-dimensional structures using continuous and truss-like models. In: Cinquini C, Rovati M, Venini P, Nascimbene R (eds) Proceedings fifth world congress of structural and multidisciplinary optimization, 19–23 May 2003, Lido di Jesolo, Italy. Schönenfeld & Ziegler, pp 385–386
Zurück zum Zitat Provatidis CG, Venetsanos DT, Vossou CG (2004) A comparative study on deterministic and stochastic optimization algorithms applied to truss design. In: Tsahalis D (ed) Proc of 1st international conference “From scientific computing to computational engineering”, Athens, Greece, 8–10 September, vol I, pp 25–32 Provatidis CG, Venetsanos DT, Vossou CG (2004) A comparative study on deterministic and stochastic optimization algorithms applied to truss design. In: Tsahalis D (ed) Proc of 1st international conference “From scientific computing to computational engineering”, Athens, Greece, 8–10 September, vol I, pp 25–32
Zurück zum Zitat Rozvany GIN (1992) Shape and layout optimization of structural systems and optimality criteria methods. Springer, BerlinMATH Rozvany GIN (1992) Shape and layout optimization of structural systems and optimality criteria methods. Springer, BerlinMATH
Zurück zum Zitat Rozvany GIN (1995) What is meaningful in topology design? An engineer’s viewpoint. In: Herskovits J (ed) Advances in structural optimization. Kluwer, Dordrecht, pp 149–188 Rozvany GIN (1995) What is meaningful in topology design? An engineer’s viewpoint. In: Herskovits J (ed) Advances in structural optimization. Kluwer, Dordrecht, pp 149–188
Zurück zum Zitat Rozvany GIN, Zhou M (1991a) The COC algorithm, Part I: cross section optimization or sizing. Comput Methods Appl Mech Eng 89:281–308CrossRef Rozvany GIN, Zhou M (1991a) The COC algorithm, Part I: cross section optimization or sizing. Comput Methods Appl Mech Eng 89:281–308CrossRef
Zurück zum Zitat Rozvany GIN, Zhou M (1991b) The COC algorithm, Part II: topological, geometrical and generalized shape optimization. Comput Methods Appl Mech Eng 89:309–336CrossRef Rozvany GIN, Zhou M (1991b) The COC algorithm, Part II: topological, geometrical and generalized shape optimization. Comput Methods Appl Mech Eng 89:309–336CrossRef
Zurück zum Zitat Schmit LA (1960) Structural design by systematic synthesis. In: Proceedings of 2nd conference on electronic computation. ASCE, New York, pp 105–132 Schmit LA (1960) Structural design by systematic synthesis. In: Proceedings of 2nd conference on electronic computation. ASCE, New York, pp 105–132
Zurück zum Zitat Shield RT, Prager W (1970) Optimal structural design for given deflection. J Appl Math Phys 21:513–523MATHCrossRef Shield RT, Prager W (1970) Optimal structural design for given deflection. J Appl Math Phys 21:513–523MATHCrossRef
Zurück zum Zitat Venkayya VB (1971) Design of optimum structures. Comput Struct 1:265–309CrossRef Venkayya VB (1971) Design of optimum structures. Comput Struct 1:265–309CrossRef
Zurück zum Zitat Xie YM, Steven GP (1997) Evolutionary structural optimization. Springer, BerlinMATH Xie YM, Steven GP (1997) Evolutionary structural optimization. Springer, BerlinMATH
Metadaten
Titel
On the layout optimization of 2D skeletal structures under a single displacement constraint
verfasst von
Demetrios T. Venetsanos
Christopher G. Provatidis
Publikationsdatum
01.07.2010
Verlag
Springer-Verlag
Erschienen in
Structural and Multidisciplinary Optimization / Ausgabe 1/2010
Print ISSN: 1615-147X
Elektronische ISSN: 1615-1488
DOI
https://doi.org/10.1007/s00158-009-0472-3

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