Application of a refined non-conforming quadrilateral plate bending element in thin plate vibration and stability analysis

Finite elements in analysis and design

Volumn 34, Issue 2, 2000, Pages 175-191

  Cheung, Y K ^a   Zhang, Y X ^a   Wanji, Chen ^b  

^a UNIVERSITY OF HONG KONG   (Hong Kong)

^b DALIAN UNIVERSITY OF TECHNOLOGY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

BENDING (DEFORMATION); COMPUTATIONAL GEOMETRY; STIFFNESS MATRIX; STRUCTURAL ANALYSIS; VIBRATIONS (MECHANICAL);

REFINED NONCONFORMING QUADRILATERAL THIN PLATE ELEMENTS;

PLATES (STRUCTURAL COMPONENTS);

EID: 0033749327     PISSN: 0168874X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0168-874X(99)00037-2     Document Type: Article

References (18)

1. Bathe K.J., Dvorkin E.N. A four-node plate bending element based on Mindlin/Ressiner plate theory and a mixed interpolation. Int. J. Numer. Meth. Eng. 21:1985;367-383.
2. Crisfield M.A. A quadratic Mindlin element using shear constraints. Comput. Struct. 18(5):1984;833-852.
3. Hughes T.J.R., Rezduyarm T.E. Finite elements based upon Mindlin plate theory with particular reference to the four-node bilinear isoparametric element. J. Appl. Mech. ASME. 48:1981;587-596.
4. Lee S.W., Pian T.H.H. Improvement of plate and shell finite element by mixed formulation. AIAA J. 16:1978;29-34.
5. Cheung Y.K. Chen Wanji, Hybrid quadrilateral element based on Mindlin/Reissner plate theory. Comput. Struct. 32(2):1989;327-339.
6. Salleb A.F., Chang T.Y. An efficient quadrilateral element of plate bending analysis. Int. J. Numer, Meth. Eng. 24:1987;1123-1155.
7. Pugh E.D., Hinton E., Zienkiewicz O.C. A study of quadrilateral plate bending element with reduced integration. Int. J. Numer. Meth. Eng. 12(7):1978;1059-1078.
8. Batoz J.L., Bathe K.J., Ho L.W. A study of three-node triangular plate bending element. Int. J. Numer. Meth. Eng. 15:1980;1771-1812.
9. Batoz J.L., Tahar M.B. Evaluation of a quadrilateral thin plate bending element. Int. J. Numer. Meth. Eng. 18:1982;1655-1677.
10. Chen Wanji, Y.K. Cheung, The nonconforming nine-parameters triangular element for thin plate bending and vibration analysis, in: P.K.K. Lee, L.G. Tham, Y.K. Cheung, (Eds.), Proceedings COCMSGE, Hong Kong, Dec. 12-14, 1994, pp. 1580-1583.
11. Cheung Y.K., Chen Wanji Refined nine-parameter triangular thin plate bending element by using refined direct stiffness methods. Int. J. Numer. Meth. Eng. 38:1995;283-298.
12. Chen Wanji, Cheung Y.K. Refined quadrilateral discrete Kirchhoff thin plate bending element. Int. J. Numer. Meth. Eng. 41:1997;3937-3953.
13. Chen Wanji, Cheung Y.K. Refined triangular discrete Kirchhoff thin plate bending element for thin plate bending, vibration and buckling analysis. Int. J. Numer. Meth. Eng. 41:1998;1507-1525.
14. Chen Wanji, Cheung Y.K. Refined non-conforming quadrilateral thin plate bending element. Int. J. Numer. Meth. Eng. 40:1997;3919-3935.
15. Zienkiewicz O.C. The Finite Element Method in Engineering Science. 1976;McGraw-Hill, London.
16. Gorman D.J. Free Vibration Analysis of Rectangular Plates. 1982;Elsevier/North-Holland, New York.
17. Timoshenko S.P., Gere J.M. Theory of Elastic Stability. 2nd Edition:1961;McGraw-Hill, New York.
18. Reddy J.N., Tsay C.S. Stability and vibration of thin rectangular plates by simplified mixed finite elements. J. Sound Vib. 55(2):1977;289-302.