메뉴 건너뛰기




Volumn 25, Issue 8, 2009, Pages 882-906

A stabilized smoothed finite element method for free vibration analysis of Mindlin-Reissner plates

Author keywords

Free vibration; Mindlin Reissner plates; MITC4 element; Shear locking; Smoothed finite elements; Stabilized method

Indexed keywords

FREE VIBRATION; MINDLIN-REISSNER PLATE; MITC4 ELEMENTS; SHEAR-LOCKING; SMOOTHED FINITE ELEMENTS; STABILIZED METHOD;

EID: 69749112147     PISSN: 10698299     EISSN: 10990887     Source Type: Journal    
DOI: 10.1002/cnm.1137     Document Type: Article
Times cited : (72)

References (33)
  • 1
    • 0015051922 scopus 로고
    • Reduced integration technique in general analysis of plates and shells. Simple and efficient element for plate bending
    • Zienkiewicz OC, Taylor RL, Too JM. Reduced integration technique in general analysis of plates and shells. Simple and efficient element for plate bending. International Journal for Numerical Methods in Engineering 1971; 3:275-290.
    • (1971) International Journal for Numerical Methods in Engineering , vol.3 , pp. 275-290
    • Zienkiewicz, O.C.1    Taylor, R.L.2    Too, J.M.3
  • 3
    • 43349096144 scopus 로고
    • Reduced and selective integration techniques in finite element method of plates
    • Hughes TJR, Cohen M, Haroun M. Reduced and selective integration techniques in finite element method of plates. Nuclear Engineering Design 1978; 46:203-222.
    • (1978) Nuclear Engineering Design , vol.46 , pp. 203-222
    • Hughes, T.J.R.1    Cohen, M.2    Haroun, M.3
  • 4
    • 0017916002 scopus 로고
    • Finite elements based upon Mindlin plate theory with particular reference to the four-node isoparametric element
    • Lee SW, Pian THH. Finite elements based upon Mindlin plate theory with particular reference to the four-node isoparametric element. AIAA Journal 1978; 16:29-34.
    • (1978) AIAA Journal , vol.16 , pp. 29-34
    • Lee, S.W.1    Pian, T.H.H.2
  • 6
    • 0037294231 scopus 로고    scopus 로고
    • On reduced integration and locking of flat shell finite elements with drilling rotations
    • Geyer S, Groenwold A. On reduced integration and locking of flat shell finite elements with drilling rotations. Communications in Numerical Methods in Engineering 2003; 19:85-97.
    • (2003) Communications in Numerical Methods in Engineering , vol.19 , pp. 85-97
    • Geyer, S.1    Groenwold, A.2
  • 7
    • 24944444988 scopus 로고    scopus 로고
    • An accurate quadrilateral plate element based on energy optimization
    • Luo K, Zhou T. An accurate quadrilateral plate element based on energy optimization. Communications in Numerical Methods in Engineering 2005; 21:487-498.
    • (2005) Communications in Numerical Methods in Engineering , vol.21 , pp. 487-498
    • Luo, K.1    Zhou, T.2
  • 8
    • 0019610759 scopus 로고
    • Finite elements based upon Mindlin plate theory with particular reference to the four-node isoparametric element
    • Hughes TJR, Tezduyar T. Finite elements based upon Mindlin plate theory with particular reference to the four-node isoparametric element. Journal of Applied Mechanics 1981; 48:587-596.
    • (1981) Journal of Applied Mechanics , vol.48 , pp. 587-596
    • Hughes, T.J.R.1    Tezduyar, T.2
  • 9
    • 0022010474 scopus 로고
    • A four-node plate bending element based on Mindlin/Reissener plate theory and a mixed interpolation
    • Bathe KJ, Dvorkin EN. A four-node plate bending element based on Mindlin/Reissener plate theory and a mixed interpolation. International Journal for Numerical Methods in Engineering 1985; 21:367-383.
    • (1985) International Journal for Numerical Methods in Engineering , vol.21 , pp. 367-383
    • Bathe, K.J.1    Dvorkin, E.N.2
  • 10
    • 0022680557 scopus 로고
    • A formulation of general shell elements. The use of mixed interpolation of tensorial components
    • Bathe KJ, Dvorkin EN. A formulation of general shell elements. The use of mixed interpolation of tensorial components. International Journal for Numerical Methods in Engineering 1986; 22:697-722.
    • (1986) International Journal for Numerical Methods in Engineering , vol.22 , pp. 697-722
    • Bathe, K.J.1    Dvorkin, E.N.2
  • 11
    • 0021384182 scopus 로고
    • A continuum mechanics based four-node shell element for general nonlinear analysis
    • Dvorkin EN, Bathe KJ. A continuum mechanics based four-node shell element for general nonlinear analysis. Engineering Computations 1984; 1:77-88.
    • (1984) Engineering Computations , vol.1 , pp. 77-88
    • Dvorkin, E.N.1    Bathe, K.J.2
  • 15
    • 0003474648 scopus 로고    scopus 로고
    • Prentice-Hall, MIT: Englewood Cliffs, NJ, Massachusetts
    • Bathe KJ. Finite Element Procedures. Prentice-Hall, MIT: Englewood Cliffs, NJ, Massachusetts, 1996.
    • (1996) Finite Element Procedures
    • Bathe, K.J.1
  • 17
  • 19
    • 1842471029 scopus 로고    scopus 로고
    • Locking-free stabilized conforming nodal integration for meshfree Mindlin-Reissner plate formulation
    • Wang D, Chen JS. Locking-free stabilized conforming nodal integration for meshfree Mindlin-Reissner plate formulation. Computer Methods in Applied Mechanics and Engineering 2004; 193:1065-1083.
    • (2004) Computer Methods in Applied Mechanics and Engineering , vol.193 , pp. 1065-1083
    • Wang, D.1    Chen, J.S.2
  • 20
    • 42049100083 scopus 로고    scopus 로고
    • A Hermite reproducing kernel approximation for thin-plate analysis with sub-domain stabilized conforming integration
    • DOI: 10.1002/nme.2175
    • Wang D, Chen JS. A Hermite reproducing kernel approximation for thin-plate analysis with sub-domain stabilized conforming integration. International Journal for Numerical Methods in Engineering 2008; DOI: 10.1002/nme.2175.
    • (2008) International Journal for Numerical Methods in Engineering
    • Wang, D.1    Chen, J.S.2
  • 24
    • 33846537489 scopus 로고    scopus 로고
    • Free and forced vibration analysis using the smoothed finite element method (SFEM)
    • Dai KY, Liu GR. Free and forced vibration analysis using the smoothed finite element method (SFEM). Journal of Sound and Vibration 2007; 301:803-820.
    • (2007) Journal of Sound and Vibration , vol.301 , pp. 803-820
    • Dai, K.Y.1    Liu, G.R.2
  • 25
    • 0003468689 scopus 로고
    • Modélisation des Structures par Éléments Finis Poutres et Plaques
    • Hermès: Paris
    • Batoz JL, Dhatt G. Modélisation des Structures par Éléments Finis (Vol. 2): Poutres et Plaques. Hermès: Paris, 1990.
    • (1990) , vol.2
    • Batoz, J.L.1    Dhatt, G.2
  • 26
    • 0037401971 scopus 로고    scopus 로고
    • On optimal stabilized MITC4 plate bending elements for accurate frequency response analysis
    • Thompson LL. On optimal stabilized MITC4 plate bending elements for accurate frequency response analysis. Computers and Structures 2003; 81:995-1008.
    • (2003) Computers and Structures , vol.81 , pp. 995-1008
    • Thompson, L.L.1
  • 31
    • 0030567894 scopus 로고    scopus 로고
    • Natural frequencies of thick arbitrary quadrilateral plates using the pb-2 Ritz method
    • Karunasena W, Liew KM, Al-Bermani FGA. Natural frequencies of thick arbitrary quadrilateral plates using the pb-2 Ritz method. Journal of Sound and Vibration 1996; 196(4):371-385.
    • (1996) Journal of Sound and Vibration , vol.196 , Issue.4 , pp. 371-385
    • Karunasena, W.1    Liew, K.M.2    Al-Bermani, F.G.A.3
  • 32
    • 0037030830 scopus 로고    scopus 로고
    • Free vibration analysis of cantilever plates with step discontinuities in properties by the method of superposition
    • Gorman DJ, Singhal R. Free vibration analysis of cantilever plates with step discontinuities in properties by the method of superposition. Journal of Sound and Vibration 2002; 253:631-652.
    • (2002) Journal of Sound and Vibration , vol.253 , pp. 631-652
    • Gorman, D.J.1    Singhal, R.2
  • 33
    • 0242405921 scopus 로고    scopus 로고
    • Vibration of rectangular Mindlin plates resting on non-homogenous elastic foundation
    • Xiang Y. Vibration of rectangular Mindlin plates resting on non-homogenous elastic foundation. International Journal of Mechanical Sciences 2003; 45:1229-1244.
    • (2003) International Journal of Mechanical Sciences , vol.45 , pp. 1229-1244
    • Xiang, Y.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.