메뉴 건너뛰기




Volumn 34, Issue 2, 2008, Pages 137-154

A topology optimization design for the continuum structure based on the meshless numerical technique

Author keywords

Checkerboard phenomenon; Optimality criteria method; Radial point interpolation method (RPIM); SIMP; Topology optimization design for continuum structure

Indexed keywords

COMPUTATIONAL MECHANICS; DESIGN; FUNCTIONS; INTERPOLATION; OPTIMIZATION; SHAPE OPTIMIZATION; TIME VARYING SYSTEMS; TOPOLOGY;

EID: 57649148932     PISSN: 15261492     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (27)

References (32)
  • 1
    • 0032136132 scopus 로고    scopus 로고
    • A New Meshless Local Petrov-Galerkin (MLPG) Approach in Computational Mechanics
    • Atluri S.N.; Zhu T. (1998): A New Meshless Local Petrov-Galerkin (MLPG) Approach in Computational Mechanics. Computational Mechanics, Vol.22, 117-127.
    • (1998) Computational Mechanics , vol.22 , pp. 117-127
    • Atluri, S.N.1    Zhu, T.2
  • 4
    • 0001241926 scopus 로고    scopus 로고
    • Material interpolation schemes in topology optimization
    • Bendsoe M.P.; Sigmund O. (1999): Material interpolation schemes in topology optimization. Archive of Applied Mechanics, 69: 635-654.
    • (1999) Archive of Applied Mechanics , vol.69 , pp. 635-654
    • Bendsoe, M.P.1    Sigmund, O.2
  • 6
    • 33845395044 scopus 로고    scopus 로고
    • Topology optimization of 2D potential problems using boundary elements
    • Cisilino A.P. (2006): Topology optimization of 2D potential problems using boundary elements. CMES: Computer Modeling in Engineering & Sciences, Vol.15, No.2, 99-106.
    • (2006) CMES: Computer Modeling in Engineering & Sciences , vol.15 , Issue.2 , pp. 99-106
    • Cisilino, A.P.1
  • 7
    • 0034171009 scopus 로고    scopus 로고
    • Improvement of numerical instabilities in topology optimization using SLP method
    • Fujii D.; Kikuchi N. (2000): Improvement of numerical instabilities in topology optimization using SLP method. Structural and Multidisciplinary Optimization, 19, 113-121.
    • (2000) Structural and Multidisciplinary Optimization , vol.19 , pp. 113-121
    • Fujii, D.1    Kikuchi, N.2
  • 8
    • 46449121802 scopus 로고    scopus 로고
    • Topology optimization of structures based on the MLPG mixed collocation method
    • Li S.; Atluri S.N. (2008a): Topology optimization of structures based on the MLPG mixed collocation method. CMES: Computer Modeling in Engineering & Sciences, Vol.26, No.1, 61-74.
    • (2008) CMES: Computer Modeling in Engineering & Sciences , vol.26 , Issue.1 , pp. 61-74
    • Li, S.1    Atluri, S.N.2
  • 9
    • 55349123235 scopus 로고    scopus 로고
    • The MLPG Mixed Collocation Method for Material Orientation and Topology Optimization of Anisotropic Solids and Structures
    • Li S.; Atluri S.N. (2008b): The MLPG Mixed Collocation Method for Material Orientation and Topology Optimization of Anisotropic Solids and Structures. CMES: Computer Modeling in Engineering & Sciences, Vol.30, No.1, 37-56.
    • (2008) CMES: Computer Modeling in Engineering & Sciences , vol.30 , Issue.1 , pp. 37-56
    • Li, S.1    Atluri, S.N.2
  • 11
    • 0037394072 scopus 로고    scopus 로고
    • A radial point interpolation method for simulation of two-dimensional piezoelectric structures
    • Liu G.R.; Dai K.Y.; Lim K.M.; Gu Y.T. (2003): A radial point interpolation method for simulation of two-dimensional piezoelectric structures. Smart Materials and Structures, 12, 171-180.
    • (2003) Smart Materials and Structures , vol.12 , pp. 171-180
    • Liu, G.R.1    Dai, K.Y.2    Lim, K.M.3    Gu, Y.T.4
  • 13
    • 25444503476 scopus 로고    scopus 로고
    • Ameshfree radial point interpolation method (RPIM) for three-dimensional solids
    • Liu G.R.; Zhang G.Y.; Gu Y.T.; Wang Y.Y. (2005): Ameshfree radial point interpolation method (RPIM) for three-dimensional solids. Computational Mechanics, 36: 421-430.
    • (2005) Computational Mechanics , vol.36 , pp. 421-430
    • Liu, G.R.1    Zhang, G.Y.2    Gu, Y.T.3    Wang, Y.Y.4
  • 14
    • 0037147410 scopus 로고    scopus 로고
    • Element free method for static and free vibration analysis of spatial thin shell structures
    • Liu L.; Liu G.R.; Tan V.B.C. (2002): Element free method for static and free vibration analysis of spatial thin shell structures. Computer Methods in Applied Mechanics and Engineering, 191, 5923-5942.
    • (2002) Computer Methods in Applied Mechanics and Engineering , vol.191 , pp. 5923-5942
    • Liu, L.1    Liu, G.R.2    Tan, V.B.C.3
  • 16
    • 8344270354 scopus 로고    scopus 로고
    • PDE- Driven Level Sets, Shape Sensitivity and Curvature Flow for Structural Topology Optimization
    • Michael Y.W.; Wang X.M. (2004): PDE- Driven Level Sets, Shape Sensitivity and Curvature Flow for Structural Topology Optimization. CMES: Computer Modeling in Engineering & Sciences, Vol.6, No.4, 373-396.
    • (2004) CMES: Computer Modeling in Engineering & Sciences , vol.6 , Issue.4 , pp. 373-396
    • Michael, Y.W.1    Wang, X.M.2
  • 17
    • 11144296378 scopus 로고    scopus 로고
    • Phase Field: A Variational Method for Structural Topology Optimization
    • Michael Y.W.; Zhou S.W. (2004): Phase Field: A Variational Method for Structural Topology Optimization. CMES: Computer Modeling in Engineering & Sciences, Vol.6, No.6, 547-566.
    • (2004) CMES: Computer Modeling in Engineering & Sciences , vol.6 , Issue.6 , pp. 547-566
    • Michael, Y.W.1    Zhou, S.W.2
  • 19
    • 10644293882 scopus 로고    scopus 로고
    • A radial basis function approach in the meshless local Petrov-Galerkin method for Euler-Bernoulli beam problems
    • Raju I.S.; Phillips D.R.; Krishnamurthy T. (2004): A radial basis function approach in the meshless local Petrov-Galerkin method for Euler-Bernoulli beam problems. Computational Mechanics, Vol.34, 464-474.
    • (2004) Computational Mechanics , vol.34 , pp. 464-474
    • Raju, I.S.1    Phillips, D.R.2    Krishnamurthy, T.3
  • 20
    • 0035301988 scopus 로고    scopus 로고
    • A 99 line topology optimization code written in Matlab
    • Sigmund O. (2001): A 99 line topology optimization code written in Matlab. Structural and Multidiscipline Optimization, 21(2), 120-127.
    • (2001) Structural and Multidiscipline Optimization , vol.21 , Issue.2 , pp. 120-127
    • Sigmund, O.1
  • 21
    • 0006234362 scopus 로고    scopus 로고
    • An alternative interpolation scheme for minimum compliance topology optimization
    • Stolpe M.; Svanberg K. (2001): An alternative interpolation scheme for minimum compliance topology optimization. Structural and Multidiscipline Optimization, 22, 116-124.
    • (2001) Structural and Multidiscipline Optimization , vol.22 , pp. 116-124
    • Stolpe, M.1    Svanberg, K.2
  • 22
  • 24
    • 0037066169 scopus 로고    scopus 로고
    • Numerical analysis of Biot's consolidation process by radial point interpolation method
    • Wang J.G.; Liu G.R.; Lin P. (2002): Numerical analysis of Biot's consolidation process by radial point interpolation method. International Journal of Solids and Structures, 39(6), 1557-1573.
    • (2002) International Journal of Solids and Structures , vol.39 , Issue.6 , pp. 1557-1573
    • Wang, J.G.1    Liu, G.R.2    Lin, P.3
  • 25
    • 34249301693 scopus 로고    scopus 로고
    • A geometric deformation constrained level set method for structural shape and topology optimization
    • Wang S.Y.; Lim K.M.; Khoo B.C.; Wang M.Y. (2007a): A geometric deformation constrained level set method for structural shape and topology optimization. CMES: Computer Modeling in Engineering & Sciences, Vol.18, No.3, 155-181.
    • (2007) CMES: Computer Modeling in Engineering & Sciences , vol.18 , Issue.3 , pp. 155-181
    • Wang, S.Y.1    Lim, K.M.2    Khoo, B.C.3    Wang, M.Y.4
  • 26
    • 35348966375 scopus 로고    scopus 로고
    • An unconditionally time-stable level set method and its application to shape and topology optimization
    • Wang S.Y.; Lim K.M.; Khoo B.C.; Wang M.Y. (2007b): An unconditionally time-stable level set method and its application to shape and topology optimization. CMES: Computer Modeling in Engineering & Sciences, Vol.21, No.1, 1-40.
    • (2007) CMES: Computer Modeling in Engineering & Sciences , vol.21 , Issue.1 , pp. 1-40
    • Wang, S.Y.1    Lim, K.M.2    Khoo, B.C.3    Wang, M.Y.4
  • 29
    • 33744972357 scopus 로고    scopus 로고
    • Structural shape and topology optimization using an implicit free boundary parameterization method
    • Wang S.Y.; Wang M.Y. (2006): Structural shape and topology optimization using an implicit free boundary parameterization method. CMES: Computer Modeling in Engineering & Sciences, Vol.13, No.2, 119-147.
    • (2006) CMES: Computer Modeling in Engineering & Sciences , vol.13 , Issue.2 , pp. 119-147
    • Wang, S.Y.1    Wang, M.Y.2
  • 32
    • 33846426826 scopus 로고    scopus 로고
    • 3D multi-material structural topology optimization with the generalized Cahn-Hilliard equations
    • Zhou S.; Wang M.Y. (2006): 3D multi-material structural topology optimization with the generalized Cahn-Hilliard equations. CMES: Computer Modeling in Engineering & Sciences, Vol.16, No.2, 83-101.
    • (2006) CMES: Computer Modeling in Engineering & Sciences , vol.16 , Issue.2 , pp. 83-101
    • Zhou, S.1    Wang, M.Y.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.