Refined triangular discrete kirchhoff plate element for thin plate bending, vibration and buckling analysis

International Journal for Numerical Methods in Engineering

Volumn 41, Issue 8, 1998, Pages 1507-1525

  Wanji, Chen ^a   Cheung, Y K ^b  

^a DALIAN UNIVERSITY OF TECHNOLOGY   (China)

^b UNIVERSITY OF HONG KONG   (Hong Kong)

Author keywords

C1 continuity requirement; Critical load of buckling; Natural frequency of vibration; Refined triangular discrete Kirchhoff plate element

Indexed keywords

BENDING (DEFORMATION); BUCKLING; COMPUTATIONAL METHODS; FUNCTIONS; MATRIX ALGEBRA; NATURAL FREQUENCIES; NUMERICAL ANALYSIS; STRAIN; STRUCTURAL ANALYSIS; VIBRATIONS (MECHANICAL);

KIRCHHOFF TRIANGULAR PLATE ELEMENT;

PLATES (STRUCTURAL COMPONENTS);

EID: 0032050817     PISSN: 00295981     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1097-0207(19980430)41:8<1507::AID-NME351>3.0.CO;2-T     Document Type: Article

References (15)

1. G. P. Bazeley, Y. K. Cheung, B. M. Irons and O. C. Zienkiewicz, Triangular elements in bending conforming and non-conforming solution', Proc. Conf. Matrix Methods in Structural Mechanics, Air Force Ins. Tech., Wright-Patterson A.F. Base, Ohio, 1965, pp. 547-576.
2. J. A. Stricklin, W. E. Haisler, P. R. Tisdale, R. Gunderson, 'A rapidly converging triangular plate element', AIAA J., 7(1), 180-181 (1969).
3. J. H. Argyris, M. Hease and H. P. Mlejnek, 'On an unconventional but natural formulation of a stiffness matrix', Comput. Methods Appl. Mech. Engng., 22, 1-22 (1980).
4. C. A. Felippa and P. G. Bergan, 'A triangular bending element based on energy-orthogonal free formulation', Comput. Methods Appl. Mech. Engng., 61, 129-160 (1987).
5. D. J. Allman, Triangular finite element bending with constant and linearly varying bending elements', High Speed Comput. Elastic Struct. Tom 7, 105-107 (1971).
6. L. M. Tang, W. J. Chen and Y. X. Liu, The quasi-conforming element for the finite element analysis', J. Dalian Inst. Technol., (in Chinese), 19(2), 19-35 (1980).
7. C. Millitello and C. A. Felippa, 'First ANDES elements 9-DOF plate bending triangles', Comput. Methods Appl. Mech. Enging., 93(2), 217-246 (1991).
8. Y. K. Cheung and Chen Wanji, 'Refined nine-parameter triangular thin plate bending element by using refined direct stiffness method', Int. J. Numer. Meth. Engng., 38, 283-298 (1995).
9. C. Wanji and Y. K. Cheung, 'The non-conforming nine-parameters triangular element for thin plate bending and vibration analysis', Proc. COCMSGE., P. K. K. Lee, L. G. Than and Y. K. Cheung (eds.), Hong Kong, 12-14 December 1994, pp. 1580-1583.
10. C. Wanji and Y. K. Cheung, 'Refined nonconforming quadrilateral thin plate bending element', Int. J. Numer. Meth. Engng., 40, 3919-3935 (1997).
11. Chen Wanji and Y. K. Cheung, 'Refined quadrilateral discrete Kirchhoff thin plate bending element', Int. J. Numer. Meth. Engng., 40, 3937-3953 (1997).
12. O. C. Zienkiewicz and R.L Taylor, The Finite Element Methods, 4th Edn., Vol. 2, McGraw-Hill, New York, 1991.
13. D. J. German, Free Vibration Analysis of Rectangular Plates, Elsevier/North-Holland, New York, 1982.
14. S. P. Timoshenko and J. M. Gere, Theory of Elastic Stability, 2nd Edn, McGraw-Hill, New York, 1981.
15. J. N. Reddy and C. S. Tsay, 'Stability and vibration of thin rectangular plates by simplified mixed finite elements', J. Sound Vib., 55(2), 289-302 (1977).