메뉴 건너뛰기




Volumn 196, Issue 17-20, 2007, Pages 2130-2146

A meshless, compositional approach to shape optimal design

Author keywords

Meshless; NURBS; Shape optimal design

Indexed keywords

BOOLEAN FUNCTIONS; COMPUTER SIMULATION; FINITE ELEMENT METHOD; INTEGRATION; OPTIMAL SYSTEMS; OPTIMIZATION; PERTURBATION TECHNIQUES; STIFFNESS MATRIX;

EID: 33846924580     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cma.2006.11.008     Document Type: Article
Times cited : (29)

References (47)
  • 1
    • 0020133171 scopus 로고
    • Three dimensional shape optimization
    • Imam M.H. Three dimensional shape optimization. Int. J. Numer. Methods Engrg. 18 (1982) 661-673
    • (1982) Int. J. Numer. Methods Engrg. , vol.18 , pp. 661-673
    • Imam, M.H.1
  • 2
    • 33846900735 scopus 로고
    • Anomalies arising in analysis and computational procedures for the prediction of optimal shape
    • GM Symposium. Bennett J.A., and Botkin M.E. (Eds), Warren, MI
    • Taylor J.E. Anomalies arising in analysis and computational procedures for the prediction of optimal shape. In: Bennett J.A., and Botkin M.E. (Eds). GM Symposium. The Optimum Shape: Automated Structural Design (1985), Warren, MI
    • (1985) The Optimum Shape: Automated Structural Design
    • Taylor, J.E.1
  • 4
    • 13344263708 scopus 로고
    • Shape Optimal Design by the Convex Linearization Method
    • Bennett J.A., and Botkin M.E. (Eds), Plenum Press, New York
    • Fleury C. Shape Optimal Design by the Convex Linearization Method. In: Bennett J.A., and Botkin M.E. (Eds). The Optimum Shape: Automated Structural Design (1986), Plenum Press, New York
    • (1986) The Optimum Shape: Automated Structural Design
    • Fleury, C.1
  • 5
    • 0000476444 scopus 로고    scopus 로고
    • Design sensitivity analysis for hyperelastic structures using a meshless method
    • Grindeanu I., Chang K.H., Choi K.K., and Chen J.S. Design sensitivity analysis for hyperelastic structures using a meshless method. AIAA J. 36 4 (1998) 618-627
    • (1998) AIAA J. , vol.36 , Issue.4 , pp. 618-627
    • Grindeanu, I.1    Chang, K.H.2    Choi, K.K.3    Chen, J.S.4
  • 6
    • 0034517042 scopus 로고    scopus 로고
    • NURBS-based solutions to inverse boundary problems in droplet shape prediction
    • Renken F.P., and Subbarayan G. NURBS-based solutions to inverse boundary problems in droplet shape prediction. Comput. Methods Appl. Mech. Engrg. 190 11-12 (2000) 1391-1406
    • (2000) Comput. Methods Appl. Mech. Engrg. , vol.190 , Issue.11-12 , pp. 1391-1406
    • Renken, F.P.1    Subbarayan, G.2
  • 7
    • 0035843797 scopus 로고    scopus 로고
    • Shape sensitivity analysis and shape optimization in planar elasticity using the element-free Galerkin method
    • Bobaru F., and Mukherjee S. Shape sensitivity analysis and shape optimization in planar elasticity using the element-free Galerkin method. Comput. Methods Appl. Mech. Engrg. 190 (2001) 4319
    • (2001) Comput. Methods Appl. Mech. Engrg. , vol.190 , pp. 4319
    • Bobaru, F.1    Mukherjee, S.2
  • 8
    • 1442284701 scopus 로고    scopus 로고
    • Constructive solid analysis: a hierarchical, geometry-based meshless analysis procedure for integrated design and analysis
    • Natekar D., Zhang X., and Subbarayan G. Constructive solid analysis: a hierarchical, geometry-based meshless analysis procedure for integrated design and analysis. Comput. Aided Design 36 (2004) 473-486
    • (2004) Comput. Aided Design , vol.36 , pp. 473-486
    • Natekar, D.1    Zhang, X.2    Subbarayan, G.3
  • 11
    • 21044443461 scopus 로고    scopus 로고
    • Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement
    • Hughes T.J.R., Cottrell J.A., and Bazilevs Y. Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement. Comput. Methods Appl. Mech. Engrg. 194 (2005) 4135-4195
    • (2005) Comput. Methods Appl. Mech. Engrg. , vol.194 , pp. 4135-4195
    • Hughes, T.J.R.1    Cottrell, J.A.2    Bazilevs, Y.3
  • 15
    • 0000905135 scopus 로고    scopus 로고
    • Topology optimization of continuum structures: a review
    • Eschenauer H.A., and Olhoff N. Topology optimization of continuum structures: a review. Appl. Mech. Rev. 54 4 (2001) 331-389
    • (2001) Appl. Mech. Rev. , vol.54 , Issue.4 , pp. 331-389
    • Eschenauer, H.A.1    Olhoff, N.2
  • 16
    • 0006631452 scopus 로고
    • An integrated environment for structural configuration design
    • Papalambros P.Y., and Chiredast M. An integrated environment for structural configuration design. J. Engrg. Design 1 (1990) 73-96
    • (1990) J. Engrg. Design , vol.1 , pp. 73-96
    • Papalambros, P.Y.1    Chiredast, M.2
  • 17
    • 0026154350 scopus 로고
    • Integrated topology and boundary shape optimization of 2D solids
    • Bendsoe M.P., and Rodrigues H.C. Integrated topology and boundary shape optimization of 2D solids. Comput. Methods Appl. Mech. Engrg. 87 (1991) 15-34
    • (1991) Comput. Methods Appl. Mech. Engrg. , vol.87 , pp. 15-34
    • Bendsoe, M.P.1    Rodrigues, H.C.2
  • 19
    • 0034297625 scopus 로고    scopus 로고
    • Automated image interpretation for integrated topology and shape optimization
    • Lin C.Y., and Chao L.S. Automated image interpretation for integrated topology and shape optimization. Struct. Multidiscip. Optimization 20 (2000) 125-137
    • (2000) Struct. Multidiscip. Optimization , vol.20 , pp. 125-137
    • Lin, C.Y.1    Chao, L.S.2
  • 20
    • 0030245306 scopus 로고    scopus 로고
    • Construction of a surface model and layered manufacturing data from 3D homogenization output
    • Marsan A.L., and Dutta D. Construction of a surface model and layered manufacturing data from 3D homogenization output. ASME Trans. J. Mech. Design 118 3 (1996) 412-418
    • (1996) ASME Trans. J. Mech. Design , vol.118 , Issue.3 , pp. 412-418
    • Marsan, A.L.1    Dutta, D.2
  • 21
    • 0035417738 scopus 로고    scopus 로고
    • Integration of topology and shape optimization for design of structural components
    • Tang P.S., and Chang H.H. Integration of topology and shape optimization for design of structural components. Struct. Multidiscip. Optimization 22 (2001) 65-82
    • (2001) Struct. Multidiscip. Optimization , vol.22 , pp. 65-82
    • Tang, P.S.1    Chang, H.H.2
  • 22
  • 24
    • 33846896491 scopus 로고    scopus 로고
    • X. Zhang, Constructive modeling strategies and implementation frameworks for optimal hierarchical synthesis, Ph.D. thesis, Purdue University, 2004.
  • 25
    • 33846927330 scopus 로고    scopus 로고
    • Tsinghua University Press and Springer p. 23
    • Zhang X., and Subbarayan G. A constructive, meshless approach to shape optimal design. Computational Mechanics (Abstracts) (2004), Tsinghua University Press and Springer p. 23
    • (2004) Computational Mechanics (Abstracts)
    • Zhang, X.1    Subbarayan, G.2
  • 26
    • 84950110337 scopus 로고    scopus 로고
    • X. Zhang, G. Subbarayan, A meshfree framework for droplet shape prediction, In: Proceedings of The 8th Intersociety Conference on Thermal and Thermomechanical Phenomenon in Electronic Systems, (Itherm 2002), IEEE, 2002, pp. 819-826.
  • 27
    • 33846933124 scopus 로고    scopus 로고
    • D.W. Natekar, Constructive solid analysis (CSA): a geometry-based meshless procedure for integrated analysis and design, Ph.D. thesis, University of Colorado, 2002.
  • 28
    • 33846928299 scopus 로고    scopus 로고
    • S. Kanuparthi, X. Zhang, G. Subbarayan, B.G. Sammakia, A. Gowda, S. Tonapi, Hierarchical design of thermal interface materials, In: Proceedings of the International Conference on Computational and Experimental Engineering and Sciences (ICCES '05), Dec. 1-10, India, 2005, pp. 2508-2514.
  • 29
    • 33846927330 scopus 로고    scopus 로고
    • Tsinghua University Press and Springer p. 24
    • Zhang X., and Subbarayan G. Adaptive refinement and quadrature for constructive solid analysis. Computational Mechanics (Abstracts) (2004), Tsinghua University Press and Springer p. 24
    • (2004) Computational Mechanics (Abstracts)
    • Zhang, X.1    Subbarayan, G.2
  • 30
    • 0030380578 scopus 로고    scopus 로고
    • Partition of unity finite element method: basic theory and applications
    • Melenk J.M., and Babuska I. Partition of unity finite element method: basic theory and applications. Comput. Methods Appl. Mech. Engrg. 139 1-4 (1996) 289-314
    • (1996) Comput. Methods Appl. Mech. Engrg. , vol.139 , Issue.1-4 , pp. 289-314
    • Melenk, J.M.1    Babuska, I.2
  • 31
    • 33846939378 scopus 로고    scopus 로고
    • M. Rayasam, V. Srinivasan, G. Subbarayan, CAD inspired hierarchical partition of unity constructions for NURBS-based, meshless design, analysis and optimization, Int. J. Numer. Methods Engrg., submitted for publication.
  • 32
    • 0026239487 scopus 로고
    • A method of finite element tearing and interconnecting and its parallel solution algorithm
    • Farhat C. A method of finite element tearing and interconnecting and its parallel solution algorithm. Int. J. Numer. Methods Engrg. 32 (1991) 1205-1227
    • (1991) Int. J. Numer. Methods Engrg. , vol.32 , pp. 1205-1227
    • Farhat, C.1
  • 34
    • 0032624422 scopus 로고    scopus 로고
    • Numerical integration of the Galerkin weak form in meshfree methods
    • Dolbow J., and Belytschko T. Numerical integration of the Galerkin weak form in meshfree methods. Comput. Mech. 23 (1999) 219
    • (1999) Comput. Mech. , vol.23 , pp. 219
    • Dolbow, J.1    Belytschko, T.2
  • 36
    • 0037086287 scopus 로고    scopus 로고
    • An adaptive procedure based on background cells for meshless methods
    • Liu G.R., and Tu Z.H. An adaptive procedure based on background cells for meshless methods. Comput. Methods Appl. Mech. Engrg. 191 (2002) 1923-1943
    • (2002) Comput. Methods Appl. Mech. Engrg. , vol.191 , pp. 1923-1943
    • Liu, G.R.1    Tu, Z.H.2
  • 37
    • 0032024733 scopus 로고    scopus 로고
    • An error estimate in the EFG method
    • Chung H.J., and Belytschko T. An error estimate in the EFG method. Comput. Mech. 21 (1998) 91-100
    • (1998) Comput. Mech. , vol.21 , pp. 91-100
    • Chung, H.J.1    Belytschko, T.2
  • 38
    • 31044442921 scopus 로고    scopus 로고
    • jNURBS: an object-oriented, symbolic framework for integrated, meshless analysis and optimal design
    • Zhang X., and Subbarayan G. jNURBS: an object-oriented, symbolic framework for integrated, meshless analysis and optimal design. Adv. Engrg. Software 37 5 (2006) 287-311
    • (2006) Adv. Engrg. Software , vol.37 , Issue.5 , pp. 287-311
    • Zhang, X.1    Subbarayan, G.2
  • 39
    • 34250129599 scopus 로고
    • Nlpql: A fortran subroutine solving constrained nonlinear programming problems
    • Schittkowski K. Nlpql: A fortran subroutine solving constrained nonlinear programming problems. Ann. Oper. Res. 5 485 (1985)
    • (1985) Ann. Oper. Res. , vol.5 , Issue.485
    • Schittkowski, K.1
  • 40
    • 0025673399 scopus 로고
    • Component shape optimization using BEM
    • Yang R.J. Component shape optimization using BEM. Comput. Struct. 37 4 (1990) 561-568
    • (1990) Comput. Struct. , vol.37 , Issue.4 , pp. 561-568
    • Yang, R.J.1
  • 41
    • 0029634704 scopus 로고
    • General-purpose computer program for shape optimization of engineering structures using the boundary element method
    • Tafreshi A., and Fenner R.T. General-purpose computer program for shape optimization of engineering structures using the boundary element method. Comput. Struct. 56 5 (1995) 713-720
    • (1995) Comput. Struct. , vol.56 , Issue.5 , pp. 713-720
    • Tafreshi, A.1    Fenner, R.T.2
  • 42
    • 0027043941 scopus 로고
    • A comparison of homogenization and mechanics analyses for periodic porous composites
    • Hollister S.J., and Kikuchi N. A comparison of homogenization and mechanics analyses for periodic porous composites. Comput. Mech. 10 (1992) 73-95
    • (1992) Comput. Mech. , vol.10 , pp. 73-95
    • Hollister, S.J.1    Kikuchi, N.2
  • 43
    • 32844461553 scopus 로고    scopus 로고
    • A constructive approach for heterogeneous material modeling and analysis
    • Zhang X., and Subbarayan G. A constructive approach for heterogeneous material modeling and analysis. Comput. Aided Design Appl. 1 1-4 (2004) 171-178
    • (2004) Comput. Aided Design Appl. , vol.1 , Issue.1-4 , pp. 171-178
    • Zhang, X.1    Subbarayan, G.2
  • 44
    • 0022128353 scopus 로고
    • Numerical considerations in structural component shape optimization
    • Yang R., Choi K., and Haug E. Numerical considerations in structural component shape optimization. J. Mech., Trans., Automat. Design 107 (1985) 334
    • (1985) J. Mech., Trans., Automat. Design , vol.107 , pp. 334
    • Yang, R.1    Choi, K.2    Haug, E.3
  • 45
    • 0039181632 scopus 로고    scopus 로고
    • A physics-based parameterization method for shape optimization
    • Wang X., Zhou J., and Hu Y. A physics-based parameterization method for shape optimization. Comput. Methods Appl. Mech. Engrg. 175 (1999) 41
    • (1999) Comput. Methods Appl. Mech. Engrg. , vol.175 , pp. 41
    • Wang, X.1    Zhou, J.2    Hu, Y.3
  • 46
    • 0036522535 scopus 로고    scopus 로고
    • Shape optimization of fillets by the boundary element method
    • Parvizian J., and Fenner R. Shape optimization of fillets by the boundary element method. J. Strain Anal. 37 2 (2002) 93
    • (2002) J. Strain Anal. , vol.37 , Issue.2 , pp. 93
    • Parvizian, J.1    Fenner, R.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.