메뉴 건너뛰기




Volumn 43, Issue 2, 2011, Pages 231-242

Geometrical aspects of optimum truss like structures

Author keywords

Axial only optimum structures; Discrete optimum; Hencky Net; Michell cantilever; Michell truss; Topology optimization

Indexed keywords

AXIAL ONLY OPTIMUM STRUCTURES; DISCRETE OPTIMUM; HENCKY NET; MICHELL CANTILEVER; MICHELL TRUSS; TOPOLOGY OPTIMIZATION;

EID: 79951809272     PISSN: 1615147X     EISSN: 16151488     Source Type: Journal    
DOI: 10.1007/s00158-010-0559-x     Document Type: Article
Times cited : (43)

References (22)
  • 1
    • 21144441520 scopus 로고    scopus 로고
    • Topology optimization of discrete structures: An introduction in view of computational and nonsmooth aspects
    • G.I.N. Rozvany (eds). Springer Vienna
    • Achtziger W (1997) Topology optimization of discrete structures: an introduction in view of computational and nonsmooth aspects. In: Rozvany GIN (ed) Topology optimization in structural mechanics. Springer, Vienna, pp 57-100
    • (1997) Topology Optimization in Structural Mechanics , pp. 57-100
    • Achtziger, W.1
  • 2
    • 79951813317 scopus 로고
    • Energy-based design of lateral systems
    • 10.2749/101686692780615950
    • WF Baker 1992 Energy-based design of lateral systems Struct Eng Int 2 99 102 10.2749/101686692780615950
    • (1992) Struct Eng Int , vol.2 , pp. 99-102
    • Baker, W.F.1
  • 3
    • 0031190444 scopus 로고    scopus 로고
    • A primal-dual approach in truss topology optimization
    • PII S0045794996001447
    • M Beckers C Fleury 1997 A primal-dual approach in truss topology optimization Comput Struct 64 1-4 77 88 0919.73100 10.1016/S0045-7949(96)00144-7 (Pubitemid 127413416)
    • (1997) Computers and Structures , vol.64 , Issue.1-4 , pp. 77-88
    • Beckers, M.1    Fleury, C.2
  • 4
    • 79951813751 scopus 로고
    • Ministry of Aviation Aeronautical Research Council Report No 3303
    • Chan ASL (1962) The design of Michell optimum structures. Ministry of Aviation Aeronautical Research Council Report No 3303
    • (1962) The Design of Michell Optimum Structures
    • Asl, C.1
  • 5
    • 0034818164 scopus 로고    scopus 로고
    • Analytical solutions and numerical procedures for minimum-weight Michell structures
    • DOI 10.1016/S0022-5096(00)00053-3
    • P Dewhurst 2001 Analytical solutions and numerical procedures for minium-weight Michell structures J Mech Phys Solids 49 445 467 0981.74043 10.1016/S0022-5096(00)00053-3 (Pubitemid 32875511)
    • (2001) Journal of the Mechanics and Physics of Solids , vol.49 , Issue.3 , pp. 445-467
    • Dewhurst, P.1
  • 6
    • 69949178837 scopus 로고    scopus 로고
    • A general boundary approach to the construction of Michell truss structures
    • 10.1007/s00158-008-0341-5 2540111
    • P Dewhurst N Fang S Srithongchai 2009 A general boundary approach to the construction of Michell truss structures Struct Multidisc Optim 39 373 384 10.1007/s00158-008-0341-5 2540111
    • (2009) Struct Multidisc Optim , vol.39 , pp. 373-384
    • Dewhurst, P.1    Fang, N.2    Srithongchai, S.3
  • 8
    • 0038874935 scopus 로고
    • Rinehart and Winston New York 0225.26002
    • Friedman A (1971) Advanced calculus. Holt, Rinehart and Winston, New York
    • (1971) Advanced Calculus
    • Friedman, A.1
  • 9
    • 79951813417 scopus 로고    scopus 로고
    • Michell cantilevers constructed within trapezoidal domains-part I: Geometry of Hencky nets
    • C Graczykowski T Lewiński 2006 Michell cantilevers constructed within trapezoidal domains-part I: geometry of Hencky nets Struct Multidisc Optim 33 27 45
    • (2006) Struct Multidisc Optim , vol.33 , pp. 27-45
    • Graczykowski, C.1    Lewiński, T.2
  • 10
    • 33845939950 scopus 로고    scopus 로고
    • Michell cantilevers constructed within trapezoidal domains-part II: Virtual displacement fields
    • 10.1007/s00158-005-0600-7
    • C Graczykowski T Lewiński 2006 Michell cantilevers constructed within trapezoidal domains-part II: virtual displacement fields Struct Multidisc Optim 32 463 471 10.1007/s00158-005-0600-7
    • (2006) Struct Multidisc Optim , vol.32 , pp. 463-471
    • Graczykowski, C.1    Lewiński, T.2
  • 12
    • 33751526133 scopus 로고    scopus 로고
    • Reduction and expansion processes in topology optimization
    • G.I.N. Rozvany (eds). Springer Vienna
    • Kirsch U (1997) Reduction and expansion processes in topology optimization. In: Rozvany GIN (ed) Topology optimization in structural mechanics. Springer, Vienna, pp 197-206
    • (1997) Topology Optimization in Structural Mechanics , pp. 197-206
    • Kirsch, U.1
  • 13
    • 33847640957 scopus 로고    scopus 로고
    • Exact analytical solutions for some popular benchmark problems in topology optimization II: Three-sided polygonal supports
    • DOI 10.1007/s00158-007-0093-7
    • T Lewiński GIN Rozvany 2007 Exact analytical solutions for some popular benchmark problems in topology optimization II: three-sided polygonal supports Struct Multidisc Optim 33 337 349 10.1007/s00158-007-0093-7 (Pubitemid 46362314)
    • (2007) Structural and Multidisciplinary Optimization , vol.33 , Issue.4-5 , pp. 337-349
    • Lewinski, T.1    Rozvany, G.I.N.2
  • 14
    • 33751539299 scopus 로고    scopus 로고
    • Growth method for size, topology, and geometry optimization of truss structures
    • DOI 10.1007/s00158-006-0043-9
    • P Martínez P Martí OM Querin 2007 Growth method for size, topology, and geometry optimization of truss structures Struct Multidisc Optim 33 13 26 10.1007/s00158-006-0043-9 (Pubitemid 44832707)
    • (2007) Structural and Multidisciplinary Optimization , vol.33 , Issue.1 , pp. 13-26
    • Martinez, P.1    Marti, P.2    Querin, O.M.3
  • 15
    • 0001694169 scopus 로고
    • The limits of economy of material in frame structures
    • AGM Michell 1904 The limits of economy of material in frame structures Philat Mag 8 589 597
    • (1904) Philat Mag , vol.8 , pp. 589-597
    • Michell, A.G.M.1
  • 16
    • 77953025845 scopus 로고    scopus 로고
    • Le CH A computational paradigm for multiresolution topology optimization (MTOP)
    • 10.1007/s00158-009-0443-8 2601471
    • TH Nguyen GH Paulino J Song 2010 Le CH A computational paradigm for multiresolution topology optimization (MTOP) Struct Multidisc Optim 41 525 539 10.1007/s00158-009-0443-8 2601471
    • (2010) Struct Multidisc Optim , vol.41 , pp. 525-539
    • Nguyen, T.H.1    Paulino, G.H.2    Song, J.3
  • 17
    • 0014813942 scopus 로고
    • Optimization of structural design
    • 0184.50502 10.1007/BF00927037 1551343
    • W Prager 1970 Optimization of structural design J Optim Theory Appl 6 1 1 21 0184.50502 10.1007/BF00927037 1551343
    • (1970) J Optim Theory Appl , vol.6 , Issue.1 , pp. 1-21
    • Prager, W.1
  • 18
    • 0017973048 scopus 로고
    • Nearly optimal design of trusses
    • 0378.73055 10.1016/0045-7949(78)90190-6
    • W Prager 1978 Nearly optimal design of trusses Comput Struct 8 451 454 0378.73055 10.1016/0045-7949(78)90190-6
    • (1978) Comput Struct , vol.8 , pp. 451-454
    • Prager, W.1
  • 19
    • 0017997833 scopus 로고
    • OPTIMAL LAYOUT OF TRUSSES WITH FINITE NUMBERS OF JOINTS
    • DOI 10.1016/0022-5096(78)90019-4
    • W Prager 1978 Optimal layout of trusses with finite numbers of joints J Mech Phys Solids 26 241 250 10.1016/0022-5096(78)90019-4 (Pubitemid 9428390)
    • (1978) J Mech Phys Solids , vol.26 , Issue.4 , pp. 241-250
    • Prager, W.1
  • 20
    • 0030406317 scopus 로고    scopus 로고
    • Some shortcomings in Michell's truss theory
    • GIN Rozvany 1996 Some shortcomings in Michell's truss theory Struct Optim 12 244 250 10.1007/BF01197364 (Pubitemid 126650490)
    • (1996) Structural Optimization , vol.12 , Issue.4 , pp. 244-250
    • Rozvany, G.I.N.1
  • 21
    • 77950224398 scopus 로고    scopus 로고
    • Polygonal finite elements for topology optimization: A unifying paradigm. A unifying paradigm
    • C Talischi GH Paulino A Pereira IFM Menezes 2009 Polygonal finite elements for topology optimization: a unifying paradigm. A unifying paradigm Int J Numer Methods Eng 82 671 698
    • (2009) Int J Numer Methods Eng , vol.82 , pp. 671-698
    • Talischi, C.1    Paulino, G.H.2    Pereira, A.3    Menezes, I.F.M.4
  • 22
    • 4444238951 scopus 로고    scopus 로고
    • The exact weight of discretized Michell trusses for a central point load
    • 10.1007/s00158-004-0429-5
    • K Zhou J Li 2004 The exact weight of discretized Michell trusses for a central point load Struct Multidisc Optim 28 69 72 10.1007/s00158-004-0429-5
    • (2004) Struct Multidisc Optim , vol.28 , pp. 69-72
    • Zhou, K.1    Li, J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.