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Volumn 81, Issue 8-11, 2003, Pages 615-628

Computation of the vibration modes of plates and shells by low-order MITC quadrilateral finite elements

Author keywords

Isoparametric quadrilaterals; MITC4 finite element; Reissner Mindlin plates; Shell Naghdi model; Vibration modes

Indexed keywords

APPROXIMATION THEORY; COMPUTATIONAL METHODS; FINITE ELEMENT METHOD; PLATES (STRUCTURAL COMPONENTS); VIBRATIONS (MECHANICAL);

EID: 0037402034     PISSN: 00457949     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0045-7949(03)00003-8     Document Type: Article
Times cited : (8)

References (19)
  • 2
    • 0036018011 scopus 로고    scopus 로고
    • Approximation by quadrilateral finite elements
    • Arnold D.N., Boffi D., Falk R.S. Approximation by quadrilateral finite elements. Math. Comp. 71:2002;909-922.
    • (2002) Math. Comp. , vol.71 , pp. 909-922
    • Arnold, D.N.1    Boffi, D.2    Falk, R.S.3
  • 5
    • 0022332230 scopus 로고
    • On the convergence of a four-node plate bending element based on Mindlin/Reissner plate theory and a mixed interpolation
    • J.R. Whiteman. London: Academic Press
    • Bathe K.J., Brezzi F. On the convergence of a four-node plate bending element based on Mindlin/Reissner plate theory and a mixed interpolation. Whiteman J.R. Mathematics of finite elements an applications V. 1985;491-503 Academic Press, London.
    • (1985) Mathematics of Finite Elements an Applications , vol.5 , pp. 491-503
    • Bathe, K.J.1    Brezzi, F.2
  • 6
    • 0022010474 scopus 로고
    • A four-node plate bending element based on Mindlin/Reissner plate theory and a mixed interpolation
    • Bathe K.J., Dvorkin E.N. A four-node plate bending element based on Mindlin/Reissner plate theory and a mixed interpolation. Int. J. Numer. Meth. Eng. 21:1985;367-383.
    • (1985) Int. J. Numer. Meth. Eng. , vol.21 , pp. 367-383
    • Bathe, K.J.1    Dvorkin, E.N.2
  • 9
    • 0031363025 scopus 로고    scopus 로고
    • Shear deformable shell elements for large strains and rotations
    • Bischoff M., Ramm E. Shear deformable shell elements for large strains and rotations. Int. J. Numer. Meth. Eng. 40:1997;4427-4449.
    • (1997) Int. J. Numer. Meth. Eng. , vol.40 , pp. 4427-4449
    • Bischoff, M.1    Ramm, E.2
  • 10
    • 0000083083 scopus 로고
    • Quasi-optimal error bounds for approximation of shear-stresses in Mindlin-Reissner plate models
    • Brezzi F., Fortin M., Stenberg R. Quasi-optimal error bounds for approximation of shear-stresses in Mindlin-Reissner plate models. Math. Models Meth. Appl. Sci. 1:1991;125-151.
    • (1991) Math. Models Meth. Appl. Sci. , vol.1 , pp. 125-151
    • Brezzi, F.1    Fortin, M.2    Stenberg, R.3
  • 11
    • 85095810739 scopus 로고    scopus 로고
    • Some new results and current challenges in the finite element analysis of shells
    • Chapelle D. Some new results and current challenges in the finite element analysis of shells. Acta Numer. 2000;215-250.
    • (2000) Acta Numer. , pp. 215-250
    • Chapelle, D.1
  • 12
    • 0012659843 scopus 로고    scopus 로고
    • Personal Communication
    • Chapelle, D. Personal Communication.
    • Chapelle, D.1
  • 13
    • 0031628614 scopus 로고    scopus 로고
    • Fundamental considerations for the finite element analysis of shell structures
    • Chapelle D., Bathe K.J. Fundamental considerations for the finite element analysis of shell structures. Comput. Struct. 66:1998;19-36.
    • (1998) Comput. Struct. , vol.66 , pp. 19-36
    • Chapelle, D.1    Bathe, K.J.2
  • 14
    • 0034186941 scopus 로고    scopus 로고
    • The mathematical shell model underlying general shell elements
    • Chapelle D., Bathe K.J. The mathematical shell model underlying general shell elements. Int. J. Numer. Meth. Eng. 48(2):2000;289-313.
    • (2000) Int. J. Numer. Meth. Eng. , vol.48 , Issue.2 , pp. 289-313
    • Chapelle, D.1    Bathe, K.J.2
  • 16
    • 84968515343 scopus 로고
    • On mixed finite element methods for the Reissner-Mindlin plate model
    • Durán R., Liberman E. On mixed finite element methods for the Reissner-Mindlin plate model. Math. Comp. 58:1992;561-573.
    • (1992) Math. Comp. , vol.58 , pp. 561-573
    • Durán, R.1    Liberman, E.2
  • 17
  • 19
    • 0040455245 scopus 로고    scopus 로고
    • Design principles and error analysis for reduced-shear plate-bending finite elements
    • Pitkäranta J., Suri M. Design principles and error analysis for reduced-shear plate-bending finite elements. Numer. Math. 75:1996;223-266.
    • (1996) Numer. Math. , vol.75 , pp. 223-266
    • Pitkäranta, J.1    Suri, M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.