nach oben

Structural and Multidisciplinary Optimization

Erschienen in:

01.02.2011 | Research Paper

Application of layout and topology optimization using pattern gradation for the conceptual design of buildings

verfasst von: Lauren L. Stromberg, Alessandro Beghini, William F. Baker, Glaucio H. Paulino

Erschienen in: Structural and Multidisciplinary Optimization | Ausgabe 2/2011

Einloggen

Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.

search-config

KI-gestützte Suche

Aus

Abstract

This paper explores the use of manufacturing-type constraints, in particular pattern gradation and repetition, in the context of building layout optimization. By placing constraints on the design domain in terms of number and variable size of repeating patterns along any direction, the conceptual design for buildings is facilitated. To substantiate the potential future applications of this work, examples within the context of high-rise building design are presented. Successful development of such ideas can contribute to practical engineering solutions, especially during the building design process. Examples are given to illustrate the ideas developed both in two-dimensional and three-dimensional building configurations.

Vorheriger Artikel Global optima for the Zhou–Rozvany problem

Nächster Artikel A 99 line code for discretized Michell truss optimization written in Mathematica

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

über 102.000 Bücher
über 537 Zeitschriften

aus folgenden Fachgebieten:

Automobil + Motoren
Bauwesen + Immobilien
Business IT + Informatik
Elektrotechnik + Elektronik
Energie + Nachhaltigkeit
Finance + Banking
Management + Führung
Marketing + Vertrieb
Maschinenbau + Werkstoffe
Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Jetzt informieren

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

über 67.000 Bücher
über 390 Zeitschriften

aus folgenden Fachgebieten:

Automobil + Motoren
Bauwesen + Immobilien
Business IT + Informatik
Elektrotechnik + Elektronik
Energie + Nachhaltigkeit
Maschinenbau + Werkstoffe

Jetzt Wissensvorsprung sichern!

Jetzt informieren

AISC (2005) AISC steel construction manual, 13th edn. American Institute of Steel Construction, Inc

Almeida SRN, Paulino GH, Silva ECN (2009) A simple and effective inverse projection scheme for void distribution control in topology optimization. Struct Multidisc Optim 39(4):359−371CrossRefMathSciNet

Almeida SRN, Paulino GH, Silva ECN (2010) Layout and material gradation in topology optimization of functionally graded structures: a global-local approach. Struct Multidisc Optim. doi:10.1007/s00158-010-0514-x

Ambrosio L, Buttazzo G (1993) An optimal design problem using perimeter penalization. Calc Var Partial Differ Equ 1(1):55−69MATHCrossRefMathSciNet

Bendsoe MP (1989) Optimal shape design as a material distribution problem. Struct Optim 1(4):193−202CrossRef

Bendsoe MP, Sigmund O (1999) Material interpolation schemes in topology optimization. Arch Appl Mech 69(9−10):635−654

Borrvall T, Petersson J (2001) Topology optimization using regularized intermediate density control. Comput Methods Appl Mech Eng 190(37−38):4911−4928MATHCrossRefMathSciNet

Bourdin B (2001) Filters in topology optimization. Int J Numer Methods Eng 50(9):2143−2158MATHCrossRefMathSciNet

Cagan J, Shimada K, Yin S (2002) A survey of computational approaches to three-dimensional layout problems. Comput Aided Des 34:597−611CrossRef

Carbonari RC, Paulino GH (2009) Multi-actuated functionally graded piezoelectric micro-tools design: a multiphysics topology optimization approach. Int J Numer Methods Eng 77(3):301−336MATHCrossRef

Celes W, Paulino GH, Espinha R (2005) A compact adjacency-based topological data structure for finite element mesh representation. Int J Numer Methods Eng 64(11):1529−1556MATHCrossRef

Chi (2002) National standard of the People’s Republic of China, code for design of concrete structures, GB 50010-2002. Ministry of Construction of the People’s Republic of China

Chi (2003) National standard of the People’s Republic of China, code for design of steel structures, GB 50017-2003. Ministry of Construction of the People’s Republic of China

Guest JK (2009) Imposing maximum length scale in topology optimization. Struct Multidisc Optim 37(5):463−473CrossRefMathSciNet

Guest JK, Prevost JH, Belytschko T (2004) Achieving minimum length scale in topology optimization using nodal design variables and projection functions. Int J Numer Methods Eng 61(2):238−254MATHCrossRefMathSciNet

Haber RB, Jog CS, Bendsoe MP (1996) A new approach to variable-topology shape design using a constraint on perimeter control. Struct Optim 11(1):1−12CrossRef

Huang X, Xie YM (2008) Optimal design of periodic structures using evolutionary topology optimization. Struct Multidisc Optim 36(6):597−606CrossRef

Ishii K, Aomura S (2004) Topology optimization for the extruded three dimension structure with constant cross section. JSME Int J 47(2):198−206CrossRef

Kohn RV, Strang G (1986a) Optimal design and relaxation of variational problems, part I. Commun Pure Appl Math 39:1−25CrossRef

Kohn RV, Strang G (1986b) Optimal design and relaxation of variational problems, part II. Commun Pure Appl Math 39:139−182MATHCrossRefMathSciNet

Kohn RV, Strang G (1986c) Optimal design and relaxation of variational problems, part III. Commun Pure Appl Math 39:353−377MATHCrossRefMathSciNet

Le C (2006) Achieving minimum length scale and design constraints in topology optimization: a new approach. Master’s thesis, University of Illinois at Urbana-Champaign

LEED (2005) LEED^® for new construction & major renovations. US Green Building Council

Love AEH (1944) A treatise on the mathematical theory of elasticity, 4th edn. Dover, New YorkMATH

Nguyen T, Paulino GH, Song J, Le C (2010) A computational paradigm for multiresolution topology optimization (MTOP). Struct Multidisc Optim 41(4):525−539CrossRefMathSciNet

Nomura T, Nishiwaki S, Sato K, Hirayama K (2009) Topology optimization for the design of period microstructures composed of electromagnetic materials. Finite Elem Anal Des 45(3):210−226CrossRefMathSciNet

Paulino GH, Silva ECN, Le C (2009) Optimal design of periodic functionally graded composites with prescribed propertiesn. Struct Multidisc Optim 38(5):469−489CrossRefMathSciNet

Peterson J, Sigmund O (1998) Slope constrained topology optimization. Int J Numer Methods Eng 41(8):1417−1434CrossRef

Qiu K, Zhang W, Domaszewski M, Chamoret D (2009) Topology optimization of periodic cellular solids based on a superelement method. Eng Optim 41(3):225−239CrossRefMathSciNet

Rovzany GIN, Zhou M, Birker T (1992) Generalized shape optimization without homogenization. Struct Optim 4:250−252CrossRef

Sigmund O (1997) On the design of compliant mechanisms using topology optimization. Mech Struct Mach 25(4):493−524CrossRef

Sigmund O (2001) A 99 line topology optimization code written in matlab. Struct Multidisc Optim 21:120−127CrossRef

Sigmund O (2007) Morphology based black and white filters for topology optimization. Struct Multidisc Optim 33(4−5):401−424CrossRef

Sigmund O, Petersson J (1998) Numerical instabilities in topology optimization: a survey on procedures dealing with checkerboards, mesh-independencies and local minima. Struct Optim 16:68−75CrossRef

Sokolnikoff S (1951) Mathematical theory of elasticity, 2nd edn. McGraw Hill, New York

Stromberg LL, Paulino GH, Baker WF (2009) Pattern gradation and repetition with application to high-rise building design. In: 10th US national congress on computational mechanics. Columbus, OH

Timoshenko SP, Goodier JN (1987) Theory of elasticity, 3rd edn. Elsevier, New York

Wang MY, Wang S (2005) Bilateral filtering for structural topology optimization. Int J Numer Methods Eng 63(13):1911−1938MATHCrossRef

Zhang W, Sun S (2006) Scale-related topology optimization of cellular materials and structures. Int J Numer Methods Eng 68(9):993−1011MATHCrossRef

Zhou M, Rovzany GIN (1991) The COC algorithm, part II: topological geometrical and generalized shape optimization. Comput Methods Appl Mech Eng 98(1−3):309−336CrossRef

Zhou M, Rozvany GIN (2001) On the validity of ESO type methods in topology optimization. Struct Multidisc Optim 21(1):80−83CrossRef

Zhou M, Fleury R, Shyy YK, Thomas H, Brennan JM (2002) Progress in topology optimization with manufacturing constraints. In: Proceedings of the 9th AIAA MDO conference AIAA-2002-4901

Zuo KT, Chen LP, Zhang YQ, Yang J (2006) Manufacturing- and machining-based topology optimization. Int J Adv Manuf Technol 27(5−6):531−536CrossRef

Titel: Application of layout and topology optimization using pattern gradation for the conceptual design of buildings
verfasst von: Lauren L. Stromberg
Alessandro Beghini
William F. Baker
Glaucio H. Paulino
Publikationsdatum: 01.02.2011
Verlag: Springer-Verlag
Erschienen in: Structural and Multidisciplinary Optimization / Ausgabe 2/2011
Print ISSN: 1615-147X
Elektronische ISSN: 1615-1488
DOI: https://doi.org/10.1007/s00158-010-0563-1

Premium Partner

Marktübersichten

Die im Laufe eines Jahres in der „adhäsion“ veröffentlichten Marktübersichten helfen Anwendern verschiedenster Branchen, sich einen gezielten Überblick über Lieferantenangebote zu verschaffen.

Zur Marktübersicht

Springer Professional

Abstract

Bitte loggen Sie sich ein, um Zugang zu Ihrer Lizenz zu erhalten.

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Wirtschaft+Technik"

Springer Professional "Technik"

Weitere Artikel der Ausgabe 2/2011

A 99 line code for discretized Michell truss optimization written in Mathematica

Design objectives with non-zero prescribed support displacements

Multi-objective topology and sizing optimization of truss structures based on adaptive multi-island search strategy

A design optimization strategy for creating devices that traverse the Pareto frontier over time

Structural sensitivity analysis in nonlinear and transient problems using the local response function technique

Global optima for the Zhou–Rozvany problem

Premium Partner

Marktübersichten