메뉴 건너뛰기




Volumn 36, Issue 6, 1999, Pages 1759-1778

A finite element analysis of optimal variable thickness sheets

Author keywords

Finite element convergence; Structural optimization; Variable thickness sheet

Indexed keywords


EID: 0001335488     PISSN: 00361429     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0036142996313968     Document Type: Article
Times cited : (42)

References (23)
  • 1
  • 2
    • 0000864222 scopus 로고
    • Regular inversion of the divergence operator with Dirichlet boundary conditions on a polygon
    • D. N. ARNOLD, L. R. SCOTT, AND M. VOGELIUS, Regular inversion of the divergence operator with Dirichlet boundary conditions on a polygon, Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4), 15 (1988), pp. 169-192.
    • (1988) Ann. Scuola Norm. Sup. Pisa Cl. Sci. , vol.15 , Issue.4 , pp. 169-192
    • Arnold, D.N.1    Scott, L.R.2    Vogelius, M.3
  • 4
    • 0028698058 scopus 로고
    • An analytical model to predict optimal material properties in the context of optimal structural design
    • M. P. BENDSØE, J. M. GUEDES, R. B. HABER, P. PEDERSEN, AND J. E. TAYLOR, An analytical model to predict optimal material properties in the context of optimal structural design, J. Appl. Mech., 61 (1994), pp. 930-937.
    • (1994) J. Appl. Mech. , vol.61 , pp. 930-937
    • BendsØe, M.P.1    Guedes, J.M.2    Haber, R.B.3    Pedersen, P.4    Taylor, J.E.5
  • 5
    • 0014827240 scopus 로고
    • An example of a max-min problem in partial differential equations
    • J. CÉA AND K. MALANOWSKI, An example of a max-min problem in partial differential equations, SIAM J. Control, 8 (1970), pp. 305-316.
    • (1970) SIAM J. Control , vol.8 , pp. 305-316
    • Céa, J.1    Malanowski, K.2
  • 7
    • 0029356773 scopus 로고
    • Checkerboard patterns in layout optimization
    • A. R. DIAZ AND O. SIGMUND, Checkerboard patterns in layout optimization, Structural Optim., 10 (1995), pp. 40-45.
    • (1995) Structural Optim. , vol.10 , pp. 40-45
    • Diaz, A.R.1    Sigmund, O.2
  • 8
    • 0019699671 scopus 로고
    • Optimal distribution of bending stiffness of an elastic freely supported plate
    • N. I. DIDENKO, Optimal distribution of bending stiffness of an elastic freely supported plate, Mech. Solids (MTT), 16 (1981), pp. 133-143.
    • (1981) Mech. Solids (MTT) , vol.16 , pp. 133-143
    • Didenko, N.I.1
  • 10
    • 0003197516 scopus 로고
    • Finite Element Approximation of the Navier-Stokes Equations
    • Springer-Verlag, Berlin
    • V. GIRAULT AND P. A. RAVIART, Finite Element Approximation of the Navier-Stokes Equations, Lecture Notes in Math. 749, Springer-Verlag, Berlin, 1979.
    • (1979) Lecture Notes in Math. , vol.749
    • Girault, V.1    Raviart, P.A.2
  • 11
    • 0021603638 scopus 로고
    • Numerical Methods for Nonlinear Variational Problems
    • Springer-Verlag, New York
    • R. GLOWINSKI, Numerical Methods for Nonlinear Variational Problems, Springer Ser. Comput. Physics, Springer-Verlag, New York, 1984.
    • (1984) Springer Ser. Comput. Physics
    • Glowinski, R.1
  • 13
    • 0030123599 scopus 로고    scopus 로고
    • Stability of finite element models for distributed-parameter optimization and topology design
    • C. S. JOG AND R. B. HABER, Stability of finite element models for distributed-parameter optimization and topology design, Comput. Methods Appl. Mech. Engrg., 130 (1996), pp 203-226.
    • (1996) Comput. Methods Appl. Mech. Engrg. , vol.130 , pp. 203-226
    • Jog, C.S.1    Haber, R.B.2
  • 14
    • 0003546202 scopus 로고
    • Numerical Solutions of Partial Differential Equations by the Finite Element Method
    • Lund
    • C. JOHNSON, Numerical Solutions of Partial Differential Equations by the Finite Element Method, Studentlitteratur, Lund, 1987.
    • (1987) Studentlitteratur
    • Johnson, C.1
  • 16
    • 0042348826 scopus 로고
    • Stiffness optimization of general structure in Signorini-type contact
    • M. Raus, M. Jean, and J. J. Moreau, eds., Plenum Press, New York
    • J. PETERSSON, Stiffness optimization of general structure in Signorini-type contact, in Contact Mechanics, M. Raus, M. Jean, and J. J. Moreau, eds., Plenum Press, New York, 1995, pp. 41-48.
    • (1995) Contact Mechanics , pp. 41-48
    • Petersson, J.1
  • 17
    • 0030241508 scopus 로고    scopus 로고
    • On stiffness maximization of variable thickness sheet with unilateral contact
    • J. PETERSSON, On stiffness maximization of variable thickness sheet with unilateral contact, Quart. Appl. Math., 54 (1996), pp. 541-550.
    • (1996) Quart. Appl. Math. , vol.54 , pp. 541-550
    • Petersson, J.1
  • 18
    • 0032096817 scopus 로고    scopus 로고
    • An approximation theory for optimum sheets in unilateral contact
    • J. PETERSSON AND J. HASLINGER, An approximation theory for optimum sheets in unilateral contact, Quart. Appl. Math., 56 (1998), pp. 309-325.
    • (1998) Quart. Appl. Math. , vol.56 , pp. 309-325
    • Petersson, J.1    Haslinger, J.2
  • 20
    • 85024551997 scopus 로고
    • Problems of optimal structural design
    • W. PRAGER AND J. E. TAYLOR, Problems of optimal structural design, J. Appl. Mech., 35 (1968), pp. 102-106.
    • (1968) J. Appl. Mech. , vol.35 , pp. 102-106
    • Prager, W.1    Taylor, J.E.2
  • 21
    • 0015682386 scopus 로고
    • A finite element method for the optimal design of variable thickness sheets
    • M. P. ROSSOW AND J. E. TAYLOR, A finite element method for the optimal design of variable thickness sheets, AIAA J., 11 (1973), pp. 1566-1569.
    • (1973) AIAA J. , vol.11 , pp. 1566-1569
    • Rossow, M.P.1    Taylor, J.E.2
  • 23
    • 0003887517 scopus 로고
    • North-Holland, Amsterdam, New York, Oxford
    • R. TEMAM, Navier-Stokes Equations, North-Holland, Amsterdam, New York, Oxford, 1977.
    • (1977) Navier-Stokes Equations
    • Temam, R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.