메뉴 건너뛰기




Volumn 37, Issue 39, 2000, Pages 5529-5559

Multi-resolution multi-scale topology optimization - A new paradigm

Author keywords

Multi resolution; Multi scale; Topology optimization; Wavelet

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; MATHEMATICAL PROGRAMMING; TOPOLOGY; WAVELET TRANSFORMS;

EID: 0033683401     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0020-7683(99)00251-6     Document Type: Article
Times cited : (125)

References (28)
  • 2
    • 0024105011 scopus 로고
    • Generating optimal topologies in structural design using a homogenization method
    • Bendsøe M.P., Kikuchi N. Generating optimal topologies in structural design using a homogenization method. Comp. Meth. Appl. Mechs. Engng. 71:1988;197-224.
    • (1988) Comp. Meth. Appl. Mechs. Engng , vol.71 , pp. 197-224
    • Bendsøe, M.P.1    Kikuchi, N.2
  • 6
    • 84990575058 scopus 로고
    • Orthonormal bases of compactly supported wavelets
    • Daubechies I. Orthonormal bases of compactly supported wavelets. Commun. on Pure and Appl. Math. 41:1988;909-996.
    • (1988) Commun. on Pure and Appl. Math , vol.41 , pp. 909-996
    • Daubechies, I.1
  • 8
    • 0003162589 scopus 로고
    • Shape optimization of structures for multiple loading conditions using a homogenization method
    • Diaz A.R., Bensøe M.P. Shape optimization of structures for multiple loading conditions using a homogenization method. Struct. Optim. 4:1992;17-22.
    • (1992) Struct. Optim , vol.4 , pp. 17-22
    • Diaz, A.R.1    Bensøe, M.P.2
  • 9
    • 34250967631 scopus 로고
    • Zur theorie der orthogonalen funktionensysteme
    • Haar A. Zur theorie der orthogonalen funktionensysteme. Math. Annal. 69:1910;331-371.
    • (1910) Math. Annal , vol.69 , pp. 331-371
    • Haar, A.1
  • 10
    • 0030080761 scopus 로고    scopus 로고
    • A new approach to variable-topology shape design using a constraint on perimeter
    • Harber R.B., Jog C.S., Bensoe M.P. A new approach to variable-topology shape design using a constraint on perimeter. Struct. Optim. 11:1996;1-12.
    • (1996) Struct. Optim , vol.11 , pp. 1-12
    • Harber, R.B.1    Jog, C.S.2    Bensoe, M.P.3
  • 11
    • 0032305382 scopus 로고    scopus 로고
    • A review of homogenization and topology optimization I - Homogenization theory for media with periodic structure
    • Hassani B., Hinton E. A review of homogenization and topology optimization I - homogenization theory for media with periodic structure. Comput. Struct. 69:1998;707-717.
    • (1998) Comput. Struct , vol.69 , pp. 707-717
    • Hassani, B.1    Hinton, E.2
  • 12
    • 0032301899 scopus 로고    scopus 로고
    • A review of homogenization and topology optimization II - Analytical and numerical solution of homogenization equations
    • Hassani B., Hinton E. A review of homogenization and topology optimization II - analytical and numerical solution of homogenization equations. Comput. Struct. 69:1998;719-738.
    • (1998) Comput. Struct , vol.69 , pp. 719-738
    • Hassani, B.1    Hinton, E.2
  • 13
    • 0032292348 scopus 로고    scopus 로고
    • A review of homogenization and topology optimization III - Topology optimization using optimality criteria
    • Hassani B., Hinton E. A review of homogenization and topology optimization III - topology optimization using optimality criteria. Comput. Struct. 69:1998;739-756.
    • (1998) Comput. Struct , vol.69 , pp. 739-756
    • Hassani, B.1    Hinton, E.2
  • 15
    • 0034291819 scopus 로고    scopus 로고
    • Topology optimization of beam cross section
    • Kim, Y.Y., Kim, T.S., 2000. Topology optimization of beam cross section. Int. J. Solids and Struct. 37, 477-493.
    • (2000) Int. J. Solids and Struct. , vol.37 , pp. 477-493
    • Kim, Y.Y.1    Kim, T.S.2
  • 16
    • 84992267875 scopus 로고    scopus 로고
    • Checkerboard control using the wavelet transform in topology optimization
    • School of Mechanical Aerospace Engineering, Seoul National University, Seoul, Korea
    • Kim, Y.Y., Kim, T.S., 1999. Checkerboard control using the wavelet transform in topology optimization. IDEALAB Report No. 99-1, School of Mechanical Aerospace Engineering, Seoul National University, Seoul, Korea.
    • (1999) IDEALAB Report No. 99-1
    • Kim, Y.Y.1    Kim, T.S.2
  • 21
  • 23
    • 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. Mech. Struct. Mach. 25:1997;495-526.
    • (1997) Mech. Struct. Mach , vol.25 , pp. 495-526
    • Sigmund, O.1
  • 24
    • 0032137868 scopus 로고    scopus 로고
    • Numerical instabilities in topology optimization: A survey on procedures dealing with checkerboards, mesh-dependencies and local minima
    • Sigmund O., Petersson J. Numerical instabilities in topology optimization: A survey on procedures dealing with checkerboards, mesh-dependencies and local minima. Struct. Optim. 16:1998;68-75.
    • (1998) Struct. Optim , vol.16 , pp. 68-75
    • Sigmund, O.1    Petersson, J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.