메뉴 건너뛰기




Volumn 42, Issue 7, 2004, Pages 931-945

Geometric nonlinear vibration of clamped Mindlin plates by analytically integrated trapezoidal p-element

Author keywords

Hierarchical finite element method; Mindlin plate theory; Nonlinear vibration; Shear locking; Trapezoidal plates

Indexed keywords

HIERARCHICAL FINITE ELEMENT METHOD; MINDLIN PLATE THEORY; NONLINEAR VIBRATION; SHEAR LOCKING; TRAPEZOIDAL PLATES;

EID: 2942534506     PISSN: 02638231     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.tws.2004.03.010     Document Type: Article
Times cited : (19)

References (18)
  • 1
    • 0021626217 scopus 로고
    • Nonlinear vibration of thin elastic plates: Part 1: Generalized incremental Hamilton's principle and element formulation
    • Lau S.L., Cheung Y.K., Wu S.Y. Nonlinear vibration of thin elastic plates: part 1: generalized incremental Hamilton's principle and element formulation. Transactions of the ASME, Journal of Applied Mechanics. 51:(4):1984;837-844.
    • (1984) Transactions of the ASME, Journal of Applied Mechanics , vol.51 , Issue.4 , pp. 837-844
    • Lau, S.L.1    Cheung, Y.K.2    Wu, S.Y.3
  • 2
    • 0021626218 scopus 로고
    • Nonlinear vibration of thin elastic plates: Part 2: Internal resonance by amplitude-incremental finite element
    • Lau S.L., Cheung Y.K., Wu S.Y. Nonlinear vibration of thin elastic plates: part 2: internal resonance by amplitude-incremental finite element. Transactions of the ASME, Journal of Applied Mechanics. 51:(4):1984;845-851.
    • (1984) Transactions of the ASME, Journal of Applied Mechanics , vol.51 , Issue.4 , pp. 845-851
    • Lau, S.L.1    Cheung, Y.K.2    Wu, S.Y.3
  • 3
    • 0022093383 scopus 로고
    • A finite element method for nonlinear forced vibrations of rectangular plates
    • Mei C., Decha-Umphai K. A finite element method for nonlinear forced vibrations of rectangular plates. AIAA Journal. 23:(7):1985;1104-1110.
    • (1985) AIAA Journal , vol.23 , Issue.7 , pp. 1104-1110
    • Mei, C.1    Decha-Umphai, K.2
  • 4
    • 0031121341 scopus 로고    scopus 로고
    • Geometrically nonlinear vibration analysis of thin, rectangular plates using the hierarchical finite element method - I: The fundamental mode of isotropic plates
    • Han W., Petyt M. Geometrically nonlinear vibration analysis of thin, rectangular plates using the hierarchical finite element method - I: the fundamental mode of isotropic plates. Computers and Structures. 63:(2):1997;295-308.
    • (1997) Computers and Structures , vol.63 , Issue.2 , pp. 295-308
    • Han, W.1    Petyt, M.2
  • 5
    • 0031121231 scopus 로고    scopus 로고
    • Geometrically nonlinear vibration analysis of thin, rectangular plates using the hierarchical finite element method - II: 1st mode of laminated plates and higher modes of isotropic and laminated plates
    • Han W., Petyt M. Geometrically nonlinear vibration analysis of thin, rectangular plates using the hierarchical finite element method - II: 1st mode of laminated plates and higher modes of isotropic and laminated plates. Computers and Structures. 63:(2):1997;309-318.
    • (1997) Computers and Structures , vol.63 , Issue.2 , pp. 309-318
    • Han, W.1    Petyt, M.2
  • 6
    • 0033117133 scopus 로고    scopus 로고
    • Nonlinear vibration of plates by the hierarchical finite element and continuation methods
    • Ribeiro P., Petyt M. Nonlinear vibration of plates by the hierarchical finite element and continuation methods. International Journal of Mechanical Science. 41:(4-5):1999;437-459.
    • (1999) International Journal of Mechanical Science , vol.41 , Issue.4-5 , pp. 437-459
    • Ribeiro, P.1    Petyt, M.2
  • 7
    • 0000025582 scopus 로고    scopus 로고
    • Geometrical non-linear, steady-state, forced, periodic vibration of plates: Part I: Model and convergence studies
    • Ribeiro P., Petyt M. Geometrical non-linear, steady-state, forced, periodic vibration of plates: part I: model and convergence studies. Journal of Sound and Vibration. 226:(5):1999;955-983.
    • (1999) Journal of Sound and Vibration , vol.226 , Issue.5 , pp. 955-983
    • Ribeiro, P.1    Petyt, M.2
  • 9
    • 0346094020 scopus 로고    scopus 로고
    • Transverse vibration of thick plates using analytically integrated Fourier p-element
    • Leung AYT., Zhu B. Transverse vibration of thick plates using analytically integrated Fourier p-element. Computers and Structures. 82:(2-3):2004;109-119.
    • (2004) Computers and Structures , vol.82 , Issue.2-3 , pp. 109-119
    • Leung, A.Y.T.1    Zhu, B.2
  • 10
    • 0037423639 scopus 로고    scopus 로고
    • A hierarchical finite element for geometrically non-linear vibration of doubly curved, moderately thick isotropic shallow shells
    • Ribeiro P. A hierarchical finite element for geometrically non-linear vibration of doubly curved, moderately thick isotropic shallow shells. International Journal for Numerical Methods in Engineering. 56:(5):2003;715-738.
    • (2003) International Journal for Numerical Methods in Engineering , vol.56 , Issue.5 , pp. 715-738
    • Ribeiro, P.1
  • 11
    • 0001390452 scopus 로고    scopus 로고
    • Hierarchical finite element analysis of the vibration of membranes
    • Houmat A. Hierarchical finite element analysis of the vibration of membranes. Journal of Sound and Vibration. 201:(4):1997;465-472.
    • (1997) Journal of Sound and Vibration , vol.201 , Issue.4 , pp. 465-472
    • Houmat, A.1
  • 12
    • 0037402346 scopus 로고    scopus 로고
    • A trapezoidal Fourier p-element for membrane vibrations
    • Leung A.Y.T., Zhu B., Zheng J.J., Yang H. A trapezoidal Fourier p-element for membrane vibrations. Thin-walled Structures. 41:(5):2003;479-491.
    • (2003) Thin-walled Structures , vol.41 , Issue.5 , pp. 479-491
    • Leung, A.Y.T.1    Zhu, B.2    Zheng, J.J.3    Yang, H.4
  • 13
    • 1542788619 scopus 로고    scopus 로고
    • A trapezoidal Fourier p-element for membrane vibrations plane problems
    • Leung A.Y.T., Zhu B., Zheng J.J., Yang H. A trapezoidal Fourier p-element for membrane vibrations plane problems. Journal of Sound and Vibration. 271:(1-2):2004;67-81.
    • (2004) Journal of Sound and Vibration , vol.271 , Issue.1-2 , pp. 67-81
    • Leung, A.Y.T.1    Zhu, B.2    Zheng, J.J.3    Yang, H.4
  • 14
  • 15
    • 84973010670 scopus 로고
    • Influence of rotatory inertia and shear on flexural motions of isotropic, elastic plates
    • Mindlin R.D. Influence of rotatory inertia and shear on flexural motions of isotropic, elastic plates. Transactions of the ASME, Journal of Applied Mechanics. 18:1951;31-38.
    • (1951) Transactions of the ASME, Journal of Applied Mechanics , vol.18 , pp. 31-38
    • Mindlin, R.D.1
  • 16
    • 0017502137 scopus 로고
    • Nonlinear flexural vibrations of orthotropic rectangular plates
    • Prabhakara M.K., Chia C.Y. Nonlinear flexural vibrations of orthotropic rectangular plates. Journal of Sound and Vibration. 52:(4):1977;511-518.
    • (1977) Journal of Sound and Vibration , vol.52 , Issue.4 , pp. 511-518
    • Prabhakara, M.K.1    Chia, C.Y.2
  • 17
    • 0019262099 scopus 로고
    • A fast incremental/iterative solution procedure that handles snap through
    • Crisfield M.A. A fast incremental/iterative solution procedure that handles snap through. Computers and Structures. 13:1981;55-62.
    • (1981) Computers and Structures , vol.13 , pp. 55-62
    • Crisfield, M.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.