메뉴 건너뛰기




Volumn 33, Issue 1, 2007, Pages 13-26

Growth method for size, topology, and geometry optimization of truss structures

Author keywords

Geometry optimization; Growth methods; Optimal design of trusses; Size optimization; Stress constraints; Topology optimization

Indexed keywords

GEOMETRY; OPTIMIZATION; PROBLEM SOLVING; STRESS ANALYSIS;

EID: 33751539299     PISSN: 1615147X     EISSN: 16151488     Source Type: Journal    
DOI: 10.1007/s00158-006-0043-9     Document Type: Article
Times cited : (75)

References (31)
  • 1
    • 0030212915 scopus 로고    scopus 로고
    • Truss topology optimization including bar properties different for tension and compression
    • Achtziger W (1996) Truss topology optimization including bar properties different for tension and compression. Struct Optim 12(1):63-73
    • (1996) Struct Optim , vol.12 , Issue.1 , pp. 63-73
    • Achtziger, W.1
  • 2
    • 0000810001 scopus 로고
    • Equivalent based formulations for maximum strength truss topology design
    • Achtziger W, Bendsøe MP, Ben-Tal A, Zowe J (1992) Equivalent based formulations for maximum strength truss topology design. Impact Comput Sci Eng 4(4):315-345
    • (1992) Impact Comput Sci Eng , vol.4 , Issue.4 , pp. 315-345
    • Achtziger, W.1    Bendsøe, M.P.2    Ben-Tal, A.3    Zowe, J.4
  • 4
    • 0001258216 scopus 로고
    • Optimization methods for truss geometry and topology design
    • Bendsøe MP, Ben-Tal A, Zowe J (1994) Optimization methods for truss geometry and topology design. Struct Optim 7(3):141-158
    • (1994) Struct Optim , vol.7 , Issue.3 , pp. 141-158
    • Bendsøe, M.P.1    Ben-Tal, A.2    Zowe, J.3
  • 5
    • 0000719421 scopus 로고
    • A new method for optimal truss topology design
    • Ben-Tal A, Bendsøe MP (1993) A new method for optimal truss topology design. SIAM J Optim 3:322-355
    • (1993) SIAM J Optim , vol.3 , pp. 322-355
    • Ben-Tal, A.1    Bendsøe, M.P.2
  • 6
    • 0008715002 scopus 로고
    • Two non-smooth approaches to simultaneous geometry and topology design of trusses
    • Bendsøe MP, Mota Soares CA (eds) Kluwer, Dordrecht
    • Ben-Tal A, Kočvara M, Zowe J (1993) Two non-smooth approaches to simultaneous geometry and topology design of trusses. In: Bendsøe MP, Mota Soares CA (eds) Topology design of structures, Kluwer, Dordrecht, pp 31-42
    • (1993) Topology Design of Structures , pp. 31-42
    • Ben-Tal, A.1    Kočvara, M.2    Zowe, J.3
  • 7
    • 0033077936 scopus 로고    scopus 로고
    • Optimal topology and configuration design of trusses with stress and buckling constraints
    • Bojczuk D, Mróz Z (1999) Optimal topology and configuration design of trusses with stress and buckling constraints. Struct Optim 17:25-35
    • (1999) Struct Optim , vol.17 , pp. 25-35
    • Bojczuk, D.1    Mróz, Z.2
  • 9
    • 0030269962 scopus 로고    scopus 로고
    • An interactive system for truss topology design
    • da Silva Smith O (1996) An interactive system for truss topology design. Adv Eng Softw 27(1-2):167-178
    • (1996) Adv Eng Softw , vol.27 , Issue.1-2 , pp. 167-178
    • Da Silva Smith, O.1
  • 10
    • 0002412766 scopus 로고
    • Automatic design of optimal structures
    • Dorn W, Gomory R, Greenberg H (1964) Automatic design of optimal structures. J Mec 3:25-52
    • (1964) J Mec , vol.3 , pp. 25-52
    • Dorn, W.1    Gomory, R.2    Greenberg, H.3
  • 11
    • 0346968581 scopus 로고
    • The minimum weight of trusses
    • Fleron P (1964) The minimum weight of trusses. Bygn Statiske Medd 35:81-96
    • (1964) Bygn Statiske Medd , vol.35 , pp. 81-96
    • Fleron, P.1
  • 13
    • 0024707743 scopus 로고
    • Optimal topologies of structures
    • Kirsch U (1989) Optimal topologies of structures. Appl Mech Rev 42:223-239
    • (1989) Appl Mech Rev , vol.42 , pp. 223-239
    • Kirsch, U.1
  • 14
    • 33751526133 scopus 로고    scopus 로고
    • Reduction and expansion processes in topology optimization
    • Rozvany GIN (ed) Springer, Berlin Heidelberg New York
    • Kirsch U (1997) Reduction and expansion processes in topology optimization. In: Rozvany GIN (ed) Topology optimization in structural mechanics. Springer, Berlin Heidelberg New York, pp 197-206
    • (1997) Topology Optimization in Structural Mechanics , pp. 197-206
    • Kirsch, U.1
  • 15
    • 0028436504 scopus 로고
    • Extended exact solution for least-weight truss layout. Part I: Cantilever with a horizontal axis of symmetry
    • Lewiński T, Zhou M, Rozvany GIN (1994a) Extended exact solution for least-weight truss layout. Part I: cantilever with a horizontal axis of symmetry. Int J Mech Sci 36:375-398
    • (1994) Int J Mech Sci , vol.36 , pp. 375-398
    • Lewiński, T.1    Zhou, M.2    Rozvany, G.I.N.3
  • 16
    • 0028433884 scopus 로고
    • Extended exact solution for least-weight truss layout. Part II: Unsymmetric cantilevers
    • Lewiński T, Zhou M, Rozvany GIN (1994b) Extended exact solution for least-weight truss layout. Part II: unsymmetric cantilevers. Int J Mech Sci 36:399-419
    • (1994) Int J Mech Sci , vol.36 , pp. 399-419
    • Lewiński, T.1    Zhou, M.2    Rozvany, G.I.N.3
  • 18
    • 0032046803 scopus 로고    scopus 로고
    • Growing optimal pin-jointed frames
    • McKeown JJ (1998) Growing optimal pin-jointed frames. Struct Optim 15:92-100
    • (1998) Struct Optim , vol.15 , pp. 92-100
    • McKeown, J.J.1
  • 19
    • 0001694169 scopus 로고
    • The limit of economy of material in frame structures
    • Michell AGM (1904) The limit of economy of material in frame structures. Phila Mag 8(6):589-597
    • (1904) Phila Mag , vol.8 , Issue.6 , pp. 589-597
    • Michell, A.G.M.1
  • 20
    • 0025596838 scopus 로고
    • Shape optimum design of trusses under multiple loading
    • Nishino F, Duggal R (1990) Shape optimum design of trusses under multiple loading. Int J Solids Struct 26:17-27
    • (1990) Int J Solids Struct , vol.26 , pp. 17-27
    • Nishino, F.1    Duggal, R.2
  • 21
    • 0030166673 scopus 로고    scopus 로고
    • Two approaches for truss topology optimization: A comparison for practical use
    • Oberndorfer JM, Achtziger W, Hörnlein HREM (1996) Two approaches for truss topology optimization: a comparison for practical use. Struct Optim 11(3-4):137-144
    • (1996) Struct Optim , vol.11 , Issue.3-4 , pp. 137-144
    • Oberndorfer, J.M.1    Achtziger, W.2    Hörnlein, H.R.E.M.3
  • 22
    • 85069385772 scopus 로고
    • On the minimum mass layout of trusses
    • Symposium on structural optimization
    • Pedersen P (1970) On the minimum mass layout of trusses. Symposium on structural optimization. AGARD Conf Proc 36:189-192
    • (1970) AGARD Conf Proc , vol.36 , pp. 189-192
    • Pedersen, P.1
  • 23
    • 0008175249 scopus 로고
    • Topology optimization of three-dimensional trusses
    • Bendsøe MP, Mota Soares CA (eds) Kluwer, Dordrecht
    • Pedersen P (1993) Topology optimization of three-dimensional trusses. In: Bendsøe MP, Mota Soares CA (eds) Topology design of structures. Kluwer, Dordrecht, pp 19-30
    • (1993) Topology Design of Structures , pp. 19-30
    • Pedersen, P.1
  • 24
    • 33751544081 scopus 로고
    • Optimal design of grillages
    • Save M, Prager W (eds) Plenum, New York
    • Prager W (1985) Optimal design of grillages. In: Save M, Prager W (eds), Structural optimization. Plenum, New York, 153-200
    • (1985) Structural Optimization , pp. 153-200
    • Prager, W.1
  • 25
    • 0001832207 scopus 로고
    • Optimization of structural geometry
    • Bednarek A, Cesari L (eds) Academic, New York
    • Prager W, Rozvany GIN (1977) Optimization of structural geometry. In: Bednarek A, Cesari L (eds) Dynamical systems. Academic, New York
    • (1977) Dynamical Systems
    • Prager, W.1    Rozvany, G.I.N.2
  • 26
    • 0031997969 scopus 로고    scopus 로고
    • Exact analytical solutions for some popular benchmark problems in topology optimization
    • Rozvany GIN (1998) Exact analytical solutions for some popular benchmark problems in topology optimization. Struct Optim 15:42-48
    • (1998) Struct Optim , vol.15 , pp. 42-48
    • Rozvany, G.I.N.1
  • 28
    • 0028517811 scopus 로고
    • Automatic truss design by optimized growth
    • Rule WK (1994) Automatic truss design by optimized growth. J Struct Eng 120(10):3063-3070
    • (1994) J Struct Eng , vol.120 , Issue.10 , pp. 3063-3070
    • Rule, W.K.1
  • 29
    • 34250129599 scopus 로고
    • NLPQL: A FORTRAN subroutine solving constrained nonlinear programming problems
    • Schittkowski K (1986) NLPQL: a FORTRAN subroutine solving constrained nonlinear programming problems. Ann Oper Res 5:485-500
    • (1986) Ann Oper Res , vol.5 , pp. 485-500
    • Schittkowski, K.1
  • 30
    • 0020799721 scopus 로고
    • Shape optimization of skeletal structures: A review
    • Topping BHV (1983) Shape optimization of skeletal structures: a review. J Struct Eng 109:1933-1951
    • (1983) J Struct Eng , vol.109 , pp. 1933-1951
    • Topping, B.H.V.1
  • 31
    • 0030190803 scopus 로고    scopus 로고
    • An improved approximation technique for the DCOC method of sizing optimization
    • Zhou M, Rozvany GIN (1996) An improved approximation technique for the DCOC method of sizing optimization. Comput Struct 60(5):763-769.
    • (1996) Comput Struct , vol.60 , Issue.5 , pp. 763-769
    • Zhou, M.1    Rozvany, G.I.N.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.