nach oben

Structural and Multidisciplinary Optimization

Erschienen in:

22.07.2015 | RESEARCH PAPER

Energy management through topology optimization of composites microstructure using projected gradient method

verfasst von: Seyedeh Zohreh Homayounfar, Rouhollah Tavakoli, Reza Bagheri

Erschienen in: Structural and Multidisciplinary Optimization | Ausgabe 6/2015

Einloggen

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

search-config

KI-gestützte Suche

Aus

Abstract

In this paper the projected gradient method is applied as an effective gradient-based topology optimization algorithm in order to direct energy propagation through the desired region of composites microstructure. Rayleigh Damping model is also used in order to take the effect of internal damping mechanisms into account and thus, to fill in the gap between the designed layouts and those in reality. The success of the proposed algorithm is illustrated through several numerical experiments by revealing a set of various designed optimal layouts besides their corresponding energy distributions.

Vorheriger Artikel Level set topology optimization of problems with sliding contact interfaces

Nächster Artikel On topology optimization with embedded boundary resolution and smoothing

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

Allaire G, Kelly A (2011) Optimal design of low-contrast two-phase structures for the wave equation. Math Model Methods Appl Sci 21(7):1499–1538. doi:10.1142/S0218202511005477 CrossRefMathSciNetMATH

Amirkhizi AV, Tehranian A, Nemat-Nasser S (2010) Stress-wave energy management through material anisotropy. Wave Motion 47(8):519–536. doi:10.1016/j.wavemoti.2010.03.005 CrossRefMATH

Belytschko T, Liu WK, Morgan B (2001) Nonlinear finite elements for continua and structures. Wiley, Chichester

Bendsoe MP, Sigmund O (2003) Topology optimization: theory, methods and applications. Springe

Birman V, Byrd LW (2007) Modeling and analysis of functionally graded materials and structures. Appl Mech Rev 60(5):195. doi:10.1115/1.2777164 CrossRef

Borzi A, Schulz V (2012) Computational optimization of systems governed by partial differential equations. SIAM

Dahl J, Jensen JS, Sigmund O (2007) Topology optimization for transient wave propagation problems in one dimension. Struct Multidiscip Optim 36(6):585–595. doi:10.1007/s00158-007-0192-5 CrossRefMathSciNet

Harris CM (1996) Shock and vibration handbook. McGraw-Hill, New York

Jensen JS, Nakshatrala BP, Tortorelli DA (2014) On the consistency of adjoint sensitivity analysis for structural optimization of linear dynamic problems. Struct Multidiscip Optim 49(5):831–837. doi:10.1007/s00158-007-0192-5 CrossRefMathSciNet

Kang B, Park G, Arora J (2006) A review of optimization of structures subjected to transient loads. Struct Multidiscip Optim 31(2):81–95CrossRefMathSciNetMATH

Kočvara M, Stingl M (2012) Solving stress constrained problems in topology and material optimization. Struct Multidiscip Optim 46(1):1–15. doi:10.1007/s00158-012-0762-z CrossRefMathSciNet

Le C, Norato J, Bruns T, Ha C, Tortorelli D (2009) Stress-based topology optimization for continua. Struct Multidiscip Optim 41(4):605–620. doi:10.1007/s00158-009-0440-y CrossRef

Le C, Bruns TE, Tortorelli DA (2012) Material microstructure optimization for linear elastodynamic energy wave management. J Mech Phys Solids 60(2):351–378. doi:10.1016/j.jmps.2011.09.002 CrossRefMathSciNetMATH

Louw T, Whitney S, Subramanian A, Viljoen H (2012) Forced wave motion with internal and boundary damping. J Appl Phys 111(1):14702–147028. doi:10.1063/1.3674316 CrossRef

Maestre F, Munch A, Pedregal P (2007) A spatio-temporal design problem for a damped wave equation. SIAM J Appl Math 68(1):109–132. doi:10.1137/07067965X CrossRefMathSciNetMATH

Munch A, Pedregal P, Periago F (2008) Relaxation of an optimal design problem for the heat equation. J Math Pures Appl 89(3):225–247. doi:10.1016/j.matpur.2007.12.009 CrossRefMathSciNet

Nocedal J, Wright S (1999) Numerical optimization. Springer verlag

Rensburg NFJ, Van M, Van Der AJ, Roux A (2010) Waves in a vibrating solid with boundary damping. Wave Motion 47(8):663–675. doi:10.1016/j.wavemoti.2010.06.003 CrossRefMathSciNetMATH

Rozvany G, Bendsǿe M, Kirsch U (1995) Layout optimization of structures. Appl Mech Rev 48:41–119CrossRef

Sigmund O (2001) A 99 line topology optimization code written in Matlab. Struct Multidiscip Optim 21(2):120–127CrossRef

Tavakoli R (2012) Note: optimal non-homogeneous composites for dynamic loading, revisited. Retrieved from http://sharif.ir/~rtavakoli/damping.pdf

Tavakoli R (2014) Multimaterial topology optimization by volume constrained Allen-Cahn system and regularized projected steepest descent method. Comput Meth Appl Mech Eng 276(2):534–565. doi:10.1016/j.cma.2014.04.005 CrossRefMathSciNet

Tavakoli R (2015a) On the coupled continuous knapsack problems: projection onto the volume constrained Gibbs N-simplex. Optimization Letters. doi:10.1007/s11590-015-0866-7

Tavakoli R (2015b) Computationally efficient approach for the minimization of volume constrained vector-valued Ginzburg-Landau energy functional. J Comput Phys 295:355–378. doi:10.1016/j.jcp.2015.04.020 CrossRefMathSciNet

Tavakoli R, Zhang H (2012) A nonmonotone spectral projected gradient method for large-scale topology optimization problems. Numer Algebra Control Optim 2(2):395–412. doi:10.3934/naco.2012.2.395 CrossRefMathSciNetMATH

Tortorelli DA, Michaleris P (1994) Design sensitivity analysis: overview and review. Inverse Probl Sci Eng 1(1):71–105. doi:10.1080/174159794088027573 CrossRef

Troltzsch F (2010) Optimal control of partial differential equations: theory, methods, and applications. Am Math Soc

Turteltaub S (2001) Optimal material properties for transient problems. Struct Multidiscip Optim 22:157–166CrossRef

Turteltaub S (2002) Optimal control and optimization of functionally graded materials for thermomechanical processes. Int J Solids Struct 39(12):3175––3197. doi:10.1016/S0020-7683(02)00243-3 CrossRefMATH

Turteltaub S (2005) Optimal non-homogeneous composites for dynamic loading. Struct Multidiscip Optim 30(2):101–112. doi:10.1007/s00158-004-0502-0 CrossRefMathSciNetMATH

Titel: Energy management through topology optimization of composites microstructure using projected gradient method
verfasst von: Seyedeh Zohreh Homayounfar
Rouhollah Tavakoli
Reza Bagheri
Publikationsdatum: 22.07.2015
Verlag: Springer Berlin Heidelberg
Erschienen in: Structural and Multidisciplinary Optimization / Ausgabe 6/2015
Print ISSN: 1615-147X
Elektronische ISSN: 1615-1488
DOI: https://doi.org/10.1007/s00158-015-1295-z

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 6/2015

On the layout of a least weight single span structure with uniform load

Multi-objective robust optimization of foam-filled tapered multi-cell thin-walled structures

Level set topology optimization of problems with sliding contact interfaces

Automatic penalty continuation in structural topology optimization

Optimum structure for a uniform load over multiple spans

Design of materials using topology optimization and energy-based homogenization approach in Matlab

Premium Partner

Marktübersichten