메뉴 건너뛰기




Volumn 70, Issue 1, 1999, Pages 47-61

A symmetry reduction method for continuum structural topology optimization

Author keywords

Continuum topology; Design sensitivity analysis (DSA); Optimal design; Structural optimization; Symmetry enforcement; Topology; Topology optimization

Indexed keywords

EIGENVALUES AND EIGENFUNCTIONS; OPTIMIZATION; SENSITIVITY ANALYSIS; VIBRATIONS (MECHANICAL);

EID: 0032760150     PISSN: 00457949     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0045-7949(98)00158-8     Document Type: Article
Times cited : (85)

References (37)
  • 4
    • 0031212962 scopus 로고    scopus 로고
    • Voigt-Reuss topology optimization for structures with linear elastic material behaviours
    • Swan CC, Kosaka I. Voigt-Reuss topology optimization for structures with linear elastic material behaviours. International Journal for Numerical Methods in Engineering 1997;40:3033-57.
    • (1997) International Journal for Numerical Methods in Engineering , vol.40 , pp. 3033-3057
    • Swan, C.C.1    Kosaka, I.2
  • 6
    • 0031076547 scopus 로고    scopus 로고
    • Topology design of material layout in structured composites of high stiffness and strength
    • Swan CC, Arora JS. Topology design of material layout in structured composites of high stiffness and strength. Structural Optimization 1997;13:45-59.
    • (1997) Structural Optimization , vol.13 , pp. 45-59
    • Swan, C.C.1    Arora, J.S.2
  • 9
    • 0031270912 scopus 로고    scopus 로고
    • On the design of compliant mechanisms using topology optimization
    • Sigmund O. On the design of compliant mechanisms using topology optimization. Mechanics of Structures and Machinery, 1997.
    • (1997) Mechanics of Structures and Machinery
    • Sigmund, O.1
  • 11
    • 0003162589 scopus 로고
    • Shape optimization of structures for multiple loading conditions using a homogenization method
    • Diaz AR, Bendsoe MP. Shape optimization of structures for multiple loading conditions using a homogenization method. Structural Optimization 1992;4:17-22.
    • (1992) Structural Optimization , vol.4 , pp. 17-22
    • Diaz, A.R.1    Bendsoe, M.P.2
  • 12
    • 0001695416 scopus 로고
    • Optimal shape design as a material distribution problem
    • Bendsoe MP. Optimal shape design as a material distribution problem. Structural Optimization 1989;1:193-202.
    • (1989) Structural Optimization , vol.1 , pp. 193-202
    • Bendsoe, M.P.1
  • 13
    • 0028730243 scopus 로고
    • The challenge of structural optimization
    • Topping BHV, Papadrakakis M., editors. Edinburgh: Civil-Comp Press
    • Ramm E, Bletzinger KU, Reitinger R, Maute K. The challenge of structural optimization. In: Topping BHV, Papadrakakis M., editors. Advances in Structural Optimization. Edinburgh: Civil-Comp Press, 1994. p. 27-53.
    • (1994) Advances in Structural Optimization , pp. 27-53
    • Ramm, E.1    Bletzinger, K.U.2    Reitinger, R.3    Maute, K.4
  • 17
    • 0019284038 scopus 로고
    • Design sensitivity analysis in structural mechanics. II. Eigenvalue variations
    • Haug EJ, Rousselet B. Design sensitivity analysis in structural mechanics. II. Eigenvalue variations. Journal of Structural Mechanics 1980;8(2):161-86.
    • (1980) Journal of Structural Mechanics , vol.8 , Issue.2 , pp. 161-186
    • Haug, E.J.1    Rousselet, B.2
  • 18
    • 5844304247 scopus 로고
    • Repeated eigenvalues in mechanical optimization problems
    • Choi KK, Haug EJ. Repeated eigenvalues in mechanical optimization problems. Contemporary Mathematics 1981;4:61-86.
    • (1981) Contemporary Mathematics , vol.4 , pp. 61-86
    • Choi, K.K.1    Haug, E.J.2
  • 19
    • 0020003755 scopus 로고
    • A numerical method for distributed parameter structural optimization problems with repeated eigenvalues
    • Choi KK, Haug EJ, Lam HL. A numerical method for distributed parameter structural optimization problems with repeated eigenvalues. Journal of Structural Mechanics 1982;10(2):191-207.
    • (1982) Journal of Structural Mechanics , vol.10 , Issue.2 , pp. 191-207
    • Choi, K.K.1    Haug, E.J.2    Lam, H.L.3
  • 22
    • 0023980744 scopus 로고
    • Efficient computation of modal sensitivities for system with repeated frequencies
    • Ojalvo IU. Efficient computation of modal sensitivities for system with repeated frequencies. AIAA Journal 1988;4:361-6.
    • (1988) AIAA Journal , vol.4 , pp. 361-366
    • Ojalvo, I.U.1
  • 23
    • 0027798474 scopus 로고
    • Design sensitivity analysis for repeated eigenvalues in structural design
    • Chen TY. Design sensitivity analysis for repeated eigenvalues in structural design. AIAA Journal 1993;4:2347-50.
    • (1993) AIAA Journal , vol.4 , pp. 2347-2350
    • Chen, T.Y.1
  • 24
    • 0029356773 scopus 로고
    • Checkerboard patterns in layout optimization
    • Diaz A, Sigmund O. Checkerboard patterns in layout optimization. Structural Optimization 1995;10:40-5.
    • (1995) Structural Optimization , vol.10 , pp. 40-45
    • Diaz, A.1    Sigmund, O.2
  • 25
    • 0030123599 scopus 로고    scopus 로고
    • Stability of finite element models for distributed-parameter optimization and topology design
    • Jog CS, Haber RB. Stability of finite element models for distributed-parameter optimization and topology design. Computer Methods in Applied Mechanics and Engineering 1996;130:203-26.
    • (1996) Computer Methods in Applied Mechanics and Engineering , vol.130 , pp. 203-226
    • Jog, C.S.1    Haber, R.B.2
  • 26
    • 0030080761 scopus 로고    scopus 로고
    • A new approach to variable-topology shape design using a constraint on perimeter
    • Haber RB, Jog CS, Bendsoe MP. A new approach to variable-topology shape design using a constraint on perimeter. Structural Optimization 1996;11:1-12.
    • (1996) Structural Optimization , vol.11 , pp. 1-12
    • Haber, R.B.1    Jog, C.S.2    Bendsoe, M.P.3
  • 28
    • 0026821261 scopus 로고
    • Variational principle for shape design sensitivity analysis
    • Arora JS, Cardoso JB. Variational principle for shape design sensitivity analysis. AIAA Journal 1992;30:538-47.
    • (1992) AIAA Journal , vol.30 , pp. 538-547
    • Arora, J.S.1    Cardoso, J.B.2
  • 29
    • 0028464084 scopus 로고
    • Optimal topology design using linear programming
    • Yang RJ, Chuang CH. Optimal topology design using linear programming. Computers & Structures 1994;52-2:265-75.
    • (1994) Computers & Structures , vol.52 , Issue.2 , pp. 265-275
    • Yang, R.J.1    Chuang, C.H.2
  • 30
    • 0001702235 scopus 로고
    • Topology optimal design and optimal shape design using homogenization
    • Bendsoe MP, Mota Soares CA, editors. Boston, MA: Kluwer Academic
    • Allaire G, Kohn RV. Topology optimal design and optimal shape design using homogenization. In: Bendsoe MP, Mota Soares CA, editors. Topology design of structures. Boston, MA: Kluwer Academic, 1993. p. 207-218.
    • (1993) Topology Design of Structures , pp. 207-218
    • Allaire, G.1    Kohn, R.V.2
  • 31
    • 0002621815 scopus 로고
    • Topology and generalized layout optimization of elastic structures
    • Bendsoe MP, Mota Soares CA, editors. Boston, MA: Kluwer Academic
    • Bendsoe MP, Diaz A, Kikuchi N. Topology and generalized layout optimization of elastic structures. In: Bendsoe MP, Mota Soares CA, editors. Topology design of structures. Boston, MA: Kluwer Academic, 1993. p. 159-205.
    • (1993) Topology Design of Structures , pp. 159-205
    • Bendsoe, M.P.1    Diaz, A.2    Kikuchi, N.3
  • 33
    • 0003758712 scopus 로고
    • NASA, SP-160, National Aeronautics and Space Administration, Washington, DC
    • Leissa AW. Vibration of Plates. NASA, SP-160, National Aeronautics and Space Administration, Washington, DC, 1969.
    • (1969) Vibration of Plates
    • Leissa, A.W.1
  • 37
    • 8544276451 scopus 로고    scopus 로고
    • M.S. thesis, College of Engineering, The University of Iowa, Iowa City
    • Mijar AR. Topology design of structures using SLP. M.S. thesis, College of Engineering, The University of Iowa, Iowa City, 1997.
    • (1997) Topology Design of Structures Using SLP
    • Mijar, A.R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.