Free vibration response of a three-node shear flexible finite element for moderately deep shells

Finite Elements in Analysis and Design

Volumn 39, Issue 4, 2003, Pages 257-281

  Kabir, Humayun R H ^a  

^a KUWAIT UNIVERSITY   (Kuwait)

Author keywords

Shear locking; Shells; Three node element; Vibration

Indexed keywords

FINITE ELEMENT METHOD; INTEGRATION; SHEAR STRENGTH; STRAIN; STRUCTURAL ANALYSIS; VIBRATIONS (MECHANICAL);

SHEAR LOCKING;

SHELLS (STRUCTURES);

EID: 0037374919     PISSN: 0168874X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0168-874X(02)00067-7     Document Type: Article

References (20)

1. Dvorkin E.N., Bathe K.J. A continuum mechanics based four-node shell element for general nonlinear analysis. Eng. Comput. 1:1984;77-88.
2. Bathe K.J., Dvorkin E.H. Short communication - a four-node plate bending element based on Mindlin/Reissner plate theory and mixed interpolation. Int. J. Numer. Methods Eng. 21:1985;367-383.
3. Zienkiewicz O.C., Lefebvre D. Three-field mixed approximation and the plate bending problem. Comm. Appl. Numer. Methods. 3:1987;301-309.
4. Papadopoulus P., Taylor R.L. A triangular element based on Reissner-Mindlin plate theory. Int. J. Numer. Methods Eng. 30:1990;1029-1049.
5. Verwwood M.H., Kok A.W.M. A shear locking free six-node Mindlin plate bending element. Comput. Struct. 36:1990;547-555.
6. Zienkiewicz O.C., Taylor R.L., Papadopoulos P., Onate E. Plate bending elements with discrete constraints, new triangular elements. Comput. Struct. 35:1990;505-522.
7. 0 anisotropic three node shallow shell element Comput. Method Appl. Mech. Eng. 78:1990;89-103.
8. Kabir H.R.H. A shear-locking free isoparametric three-node triangular element for moderately-thick and thin plates. Comput. Struct. 35:1992;503-519.
9. Kabir H.R.H. A shear-locking free robust isoparametric three-node triangular element for general shells. Comput. Struct. 51:1994;425-436.
10. Onate E., Zarate F., Flores F. Simple triangular element for thick and thin plate and shell analysis. Int. J. Numer. Methods Eng. 37:1994;2569-2582.
11. Sydenstricker R.M., Landau L. Study of some triangular discrete Reissner-Mindlin plate shell elements. Comput. Struct. 78:2000;21-33.
12. J.L. Sanders Jr., An improved first-approximation theory for thin shells, NASA Technical Report R-24, 1959.
13. Reddy J.N. Exact solutions of moderately thick laminated shells. J. Eng. Mech. ASCE. 110:1984;794-809.
14. Kabir H.R.H., Chaudhuri R.A. On Gibbs-phenomenon-free Fourier solution for finite shear-flexible laminated clamped curved panels. Int. J. Eng. Sci. 32:1994;501-520.
15. Reissner E. On the theory of bending of elastic plates. J. Math. Phys. 23:1944.
16. IMSL Inc., Math/Library, Houston, TX, USA, 1991.
17. SURFER, Scientific Software Corp., VA, USA, 1994.
18. ANSYS Version 5.6, Canonsburg, PA, USA, 1999.
19. MSC/NASTRAN Version 70.7, Macneal-Schwendler Corporation, CA, USA, 2000.
20. Allman D.J. A compatible triangular element including vertex rotations for plane elasticity analysis. Comput. Struct. 19:1984;1-8.