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Volumn 86, Issue 4, 2000, Pages 591-616

Finite element analysis of the vibration problem of a plate coupled with a fluid

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EID: 0034361949     PISSN: 0029599X     EISSN: None     Source Type: Journal    
DOI: 10.1007/PL00005411     Document Type: Article
Times cited : (15)

References (24)
  • 1
    • 0042011204 scopus 로고    scopus 로고
    • Derivation and justification of plate models by variational methods
    • Plates and Shells, M. Fortin, (ed.), AMS, Providence
    • Alessandrini, S.M., Arnold, D.N., Falk, R.S., Madureira, A.L. (1999): Derivation and justification of plate models by variational methods. In: Plates and Shells, CRM Proc. & Lect. Notes Ser., Vol. 21, M. Fortin, (ed.), AMS, Providence, pp. 1-20
    • (1999) CRM Proc. & Lect. Notes Ser. , vol.21 , pp. 1-20
    • Alessandrini, S.M.1    Arnold, D.N.2    Falk, R.S.3    Madureira, A.L.4
  • 2
    • 0001214001 scopus 로고
    • A uniformly accurate finite element method for the Reissner-Mindlin plate
    • Arnold, D.N., Falk, R.S. (1989): A uniformly accurate finite element method for the Reissner-Mindlin plate. SIAM J. Numer. Anal., 26 1276-1290
    • (1989) SIAM J. Numer. Anal. , vol.26 , pp. 1276-1290
    • Arnold, D.N.1    Falk, R.S.2
  • 3
    • 54249116319 scopus 로고
    • Eigenvalue problems
    • P. G. Ciarlet and J. L. Lions, (eds.), North Holland, Amsterdam
    • Babuška, I., Osborn, J. (1991): Eigenvalue problems. In: Handbook of Numerical Analysis, Vol. II, P. G. Ciarlet and J. L. Lions, (eds.), North Holland, Amsterdam
    • (1991) Handbook of Numerical Analysis , vol.2
    • Babuška, I.1    Osborn, J.2
  • 6
    • 0028671142 scopus 로고
    • Finite element computation of the vibration modes of a fluid-solid system
    • Bermúdez, A., Rodríguez, R. (1994): Finite element computation of the vibration modes of a fluid-solid system. Comp. Methods Appl. Mech. Eng., 119 355-370
    • (1994) Comp. Methods Appl. Mech. Eng. , vol.119 , pp. 355-370
    • Bermúdez, A.1    Rodríguez, R.2
  • 8
    • 0000083083 scopus 로고
    • Quasi-optimal error bounds for approximation of shear-stresses in Mindlin-Reissner plate models
    • Brezzi, F., Fortin, M., Stenberg, R. (1991): Quasi-optimal error bounds for approximation of shear-stresses in Mindlin-Reissner plate models. Math. Models Methods Appl. Sci, 1 125-151
    • (1991) Math. Models Methods Appl. Sci , vol.1 , pp. 125-151
    • Brezzi, F.1    Fortin, M.2    Stenberg, R.3
  • 10
    • 0002023947 scopus 로고
    • On spectral approximation. Part 1: The problem of convergence. Part 2: Error estimates for the Galerkin methods. R.A.I.R.O
    • Descloux, J., Nassif, N., Rappaz, J. (1978): On spectral approximation. Part 1: The problem of convergence. Part 2: Error estimates for the Galerkin methods. R.A.I.R.O. Anal. Numer., 1297-119
    • (1978) Anal. Numer. , vol.12 , pp. 97-119
    • Descloux, J.1    Nassif, N.2    Rappaz, J.3
  • 11
    • 0033443127 scopus 로고    scopus 로고
    • Approximation of the vibration modes of a plate by Reissner-Mindlin equations
    • Durán, R., Hervella-Nieto, L., Liberman, E., Rodríguez, R., Solomin, J. (1999): Approximation of the vibration modes of a plate by Reissner-Mindlin equations. Math. Comp., 68 1447-1463
    • (1999) Math. Comp. , vol.68 , pp. 1447-1463
    • Durán, R.1    Hervella-Nieto, L.2    Liberman, E.3    Rodríguez, R.4    Solomin, J.5
  • 12
    • 84968515343 scopus 로고
    • On mixed finite element methods for the Reissner-Mindlin plate model
    • Durán, R., Liberman, E. (1992): On mixed finite element methods for the Reissner-Mindlin plate model. Math. Comp., 58 561-573
    • (1992) Math. Comp. , vol.58 , pp. 561-573
    • Durán, R.1    Liberman, E.2
  • 13
    • 0019875706 scopus 로고
    • A symmetric potential formulation for fluid-structure interaction
    • Everstine, G.C. (1981): A symmetric potential formulation for fluid-structure interaction. J. Sound Vib., 79 157-160
    • (1981) J. Sound Vib. , vol.79 , pp. 157-160
    • Everstine, G.C.1
  • 15
    • 0017856801 scopus 로고
    • A displacement method for the analysis of vibrations of coupled fluid-structure systems
    • Hamdi, M., Ouset, Y., Verchery, G. (1978): A displacement method for the analysis of vibrations of coupled fluid-structure systems. Internat. J. Numer. Methods Eng., 13 139-150
    • (1978) Internat. J. Numer. Methods Eng. , vol.13 , pp. 139-150
    • Hamdi, M.1    Ouset, Y.2    Verchery, G.3
  • 18
    • 0018295098 scopus 로고
    • Substructure variational analysis of the vibrations of coupled fluid-structure systems. Finite element results
    • Morand, H., Ohayon, R. (1979): Substructure variational analysis of the vibrations of coupled fluid-structure systems. Finite element results. Internat. J. Numer. Methods Eng., 14 741-755
    • (1979) Internat. J. Numer. Methods Eng. , vol.14 , pp. 741-755
    • Morand, H.1    Ohayon, R.2
  • 21
    • 0030518530 scopus 로고    scopus 로고
    • The order of convergence of eigenfrequencies in finite element approximations of fluid-structure interaction problems
    • Rodríguez, R., Solomin, J. (1996): The order of convergence of eigenfrequencies in finite element approximations of fluid-structure interaction problems. Math. Comp., 65 1463-1475
    • (1996) Math. Comp. , vol.65 , pp. 1463-1475
    • Rodríguez, R.1    Solomin, J.2
  • 22
  • 23
    • 21844493422 scopus 로고
    • The combined effect of numerical integration and approximation of the boundary in the finite element method for eigenvalue problems
    • Vanmaele, M., Ženíšek, A. (1995): The combined effect of numerical integration and approximation of the boundary in the finite element method for eigenvalue problems. Numer. Math., 71 253-273
    • (1995) Numer. Math. , vol.71 , pp. 253-273
    • Vanmaele, M.1    Ženíšek, A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.