A cylindrical strain-based shell element for vibration analysis of shell structures

Finite Elements in Analysis and Design

Volumn 40, Issue 13-14, 2004, Pages 1947-1961

  Djoudi, M S ^a   Bahai, H ^a  

^a BRUNEL UNIVERSITY   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; CYLINDERS (SHAPES); DEGREES OF FREEDOM (MECHANICS); FINITE ELEMENT METHOD; NATURAL FREQUENCIES; STRAIN; STRUCTURAL PANELS; VIBRATIONS (MECHANICAL);

CLAMPED PANELS; CURVED SHELLS; DISPLACEMENT FIELDS;

SHELLS (STRUCTURES);

EID: 3142562928     PISSN: 0168874X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.finel.2003.11.008     Document Type: Article

References (18)

1. A. Hrennikoff, S.S. Tezcan, Analysis of cylindrical shells by the finite element method, Symposium of Problems of Interdependence of Design and Construction of Large Span Shells for Industrial and Civic Buildings, Leningrad, 1966.
2. Zienkiewicz O.C., Cheung H. The Finite Element Method in Structural and Continuum Mechanics. 1967;McGraw Hill, New York.
3. R.E. Fulton, R.T. Epink, J.E. Walz, The accuracy of finite element method in continuum problems, Proceedings of the Fifth US National Congress of Applied Mechanics, ASME, New York, 1966, p. 272.
4. Jones R.E., Strome D.R. Direct stiffness method analysis of shells of revolution utilising curved elements. AIAA J. 4(9):1966;1519-1525.
5. Brebbia C., Connor J.J. Stiffness matrix for shallow rectangular shell element. J. Eng. Mech. Div. ASCE93(EM5):1967;43-65.
6. Bogner F.K., Fox R.L., Schmit L.A. A cylindrical shell discrete element. AIAA J. 5(4):1967;745-750.
7. Cantin G., Clough R.W. A curved cylindrical shell finite element. AIAA J. 6:1968;1057-1062.
8. Cowper G.R., Lindberg G.M., Olsen M.D. A shallow shell finite element of triangular shape. Int. J. Solids Struct. 6:1979;1133-1156.
9. Argyris J.H., Fried I., Scharpf D.W. The TUBA family of plate elements for the matrix displacement method. J. Aero. Sci. 72:1968;133-139.
10. Dawe D.J. High-order triangular finite element for shell analysis. Int. J. Solids Struct. 11:1975;1097-1110.
11. Ashwell D.G., Sabir A.B. Limitation of certain curved finite element when applied to arches. Int. J. Mech. Sci. 13:1971;133-139.
12. Ashwell D.G., Sabir A.B. A new cylindrical shell finite element based on simple independent strain functions. Int. J. Mech. Sci. 14:1972;171-183.
13. A.B. Sabir, Stiffness matrices for general deformation (out of plane and inplane) of curved beam members based on application, The Mathematics of Finite Elements and Application II, Vol. 34, Academic Press, New York, 1975, pp. 411-421.
14. A.B. Sabir, D.G. Ashwell, Diffusion of concentrated loads into thin cylindrical shells. The Mathematics of Finite Elements and Application III, Vol. 33, Academic Press, New York, 1979, pp. 379-389.
15. Hibbitt, Karlsson and Sorensen, Inc. ABAQUS/Standard User's Manual, Version 5.7, Pawtucket, RI, 1997.
16. Soedel W. Vibrations of Shells and Plates. 1981;Marcel Dekker, New York.
17. Williams F.W., Kennedy D., Butler R., Anderson M.S. VICONOPT. program for exact vibration and buckling analysis or design of prismatic plate assemblies AIAA J. 29(11):1991;1927-1928.
18. Chung H. Free vibration analysis of circular cylindrical shells. J. Sound Vibration. 74(3):1981;331-350.