A note on truss topology optimization under self-weight load: mixed-integer second-order cone programming approach

The self-weight load is a typical design-dependent load in structural optimization. This paper presents a mixed-integer second-order cone programming approach to global optimization of truss topology under the self-weight load.

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Vydáno v:Structural and multidisciplinary optimization Ročník 56; číslo 1; s. 221 - 226
Hlavní autoři: Kanno, Yoshihiro, Yamada, Hiromichi
Médium: Journal Article
Jazyk:angličtina
Vydáno: Berlin/Heidelberg Springer Berlin Heidelberg 01.07.2017
Springer Nature B.V
Témata:
Brief Note
Computational Mathematics and Numerical Analysis
Design optimization
Engineering
Engineering Design
Global optimization
Integers
Nonlinear programming
Theoretical and Applied Mechanics
Topology optimization
Trusses
Weight
Topology optimization
Design-dependent load
Mixed integer programming
Global optimization
Self-weight load
Second-order cone programming
ISSN:1615-147X, 1615-1488
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Abstract The self-weight load is a typical design-dependent load in structural optimization. This paper presents a mixed-integer second-order cone programming approach to global optimization of truss topology under the self-weight load.
AbstractList The self-weight load is a typical design-dependent load in structural optimization. This paper presents a mixed-integer second-order cone programming approach to global optimization of truss topology under the self-weight load.
Author Kanno, Yoshihiro
Yamada, Hiromichi
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  surname: Kanno
  fullname: Kanno, Yoshihiro
  email: kanno.y.af@m.titech.ac.jp
  organization: Laboratory for Future Interdisciplinary Research of Science and Technology, Institute of Innovative Research, Tokyo Institute of Technology
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  givenname: Hiromichi
  surname: Yamada
  fullname: Yamada, Hiromichi
  organization: Kozo Keikaku Engineering, Inc
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CitedBy_id crossref_primary_10_1007_s00158_018_1923_5
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Cites_doi 10.15807/jorsj.55.125
10.1007/s00158-015-1333-x
10.1007/BF01742459
10.1007/s00158-016-1406-5
10.1061/JMCEA3.0002304
10.1007/s00158-014-1078-y
10.1007/s10589-015-9766-0
10.1007/s00158-004-0484-y
10.1007/s00158-014-1095-x
10.1137/1.9780898718829
10.1002/eqe.2292
10.1007/s00158-015-1285-1
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Copyright Springer-Verlag Berlin Heidelberg 2017
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Structural and Multidisciplinary Optimization is a copyright of Springer, (2017). All Rights Reserved.
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Issue 1
Keywords Topology optimization
Design-dependent load
Mixed integer programming
Global optimization
Self-weight load
Second-order cone programming
Language English
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IBM ILOG User’s Manual for CPLEX. http://www.ilog.com/ (Accessed September 2016)
KannoYDamper placement optimization in a shear building model with discrete design variables: a mixed-integer second-order cone programming approachEarthquake Eng Struct Dyn2013421657167610.1002/eqe.2292
Kočvara M (to appear) Truss topology design by linear conic optimization. In: Terlaky T, Anjos M F, Ahmed S (eds) Advances and trends in optimization with engineering applications. SIAM, Philadelphia
KannoYGlobal optimization of trusses with constraints on number of different cross-sections: a mixed-integer second-order cone programming approachComput Optim Appl201663203236344134910.1007/s10589-015-9766-01343.90070
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– reference: Kočvara M (to appear) Truss topology design by linear conic optimization. In: Terlaky T, Anjos M F, Ahmed S (eds) Advances and trends in optimization with engineering applications. SIAM, Philadelphia
– reference: RozvanyGINOptimal plastic design: allowance for selfweightJ Eng Mech Div (ASCE)197710311651170
– reference: Gurobi Optimization, Inc. Gurobi optimizer reference manual. http://www.gurobi.com/ (Accessed September 2016)
– reference: StolpeMTruss optimization with discrete design variables: a critical reviewStruct Multidiscip Optim201653349374346135410.1007/s00158-015-1333-x
– reference: MelaKResolving issues with member buckling in truss topology optimization using a mixed variable approachStruct Multidiscip Optim20145010371049333367610.1007/s00158-014-1095-x
– reference: BruyneelMDuysinxPNote on topology optimization of continuum structures including self-weightStruct Multidiscip Optim20052924525610.1007/s00158-004-0484-y
– reference: Ben-TalANemirovskiALectures on modern convex optimization: analysis, algorithms, and engineering applications2001PhiladelphiaSIAM10.1137/1.97808987188290986.90032
– reference: HolmbergEThoreC-JKlarbringAWorst-case topology optimization of self-weight loaded structures using semi-definite programmingStruct Multidiscip Optim201552915928343331110.1007/s00158-015-1285-1
– reference: IBM ILOG User’s Manual for CPLEX. http://www.ilog.com/ (Accessed September 2016)
– reference: KannoYTopology optimization of tensegrity structures under self-weight loadsJ Oper Res Soc Jpn20125512514529878141278.74138
– reference: KannoYGlobal optimization of trusses with constraints on number of different cross-sections: a mixed-integer second-order cone programming approachComput Optim Appl201663203236344134910.1007/s10589-015-9766-01343.90070
– reference: Mela K, Koski J (2013) Distributed loads in truss topology optimization. In: The 10th World congress on structural and multidisciplinary optimization (WCSMO 10), paper No. 5216. Orlando
– reference: KannoYMixed-integer second-order cone programming for global optimization of compliance of frame structure with discrete design variablesStruct Multidiscip Optim201654301316351857210.1007/s00158-016-1406-5
– reference: ChangCChenAThe gradient projection method for structural topology optimization including density-dependent forceStruct Multidiscip Optim201450645657325847910.1007/s00158-014-1078-y
– reference: KannoYDamper placement optimization in a shear building model with discrete design variables: a mixed-integer second-order cone programming approachEarthquake Eng Struct Dyn2013421657167610.1002/eqe.2292
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Snippet The self-weight load is a typical design-dependent load in structural optimization. This paper presents a mixed-integer second-order cone programming approach...
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SubjectTerms Brief Note
Computational Mathematics and Numerical Analysis
Design optimization
Engineering
Engineering Design
Global optimization
Integers
Nonlinear programming
Theoretical and Applied Mechanics
Topology optimization
Trusses
Weight
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