A finite element formulation for free vibration analysis of shells of general shape

Computers and Structures

Volumn 65, Issue 5, 1997, Pages 687-694

  Aksu, T ^a  

^a ISTANBUL TECHNICAL UNIVERSITY   (Turkey)

Author keywords

[No Author keywords available]

Indexed keywords

FINITE ELEMENT METHOD; MATRIX ALGEBRA; NUMERICAL METHODS; SHEAR DEFORMATION; VIBRATIONS (MECHANICAL);

FREE VIBRATION ANALYSIS;

SHELLS (STRUCTURES);

EID: 0031379469     PISSN: 00457949     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0045-7949(96)00423-3     Document Type: Article

References (21)

1. Naghdi, P. M. and Kalnins, A., On vibrations of elastic spherical shells. J. Appl. Mech., 1962, 61, 65-72.
2. Kraus, H., Thin Elastic Shells. Wiley, New York, 1967.
3. Flügge, W., Stresses in Shells, 2nd Edn. Springer, Berlin, 1973.
4. Niordson, F. I., Free vibration of thin elastic spherical shells. Int. J. Solids Struct., 1984, 20, 667-687.
5. Suzuki, K., Kikuchi, N., Kosawada, T. and Takahashi, S., Axisymmetric vibrations of thin shells of revolution. Bull. JSME, 1984, 27, 974-979.
6. Suzuki, K., Kosawada, T. and Takahashi, S., Axisymmetric vibrations of thick shells of revolution. Bull. JSME, 1984, 27, 980-986.
7. Tedesco, J. W., Köstem, C. N. and Kalnins, A., Free vibration analysis of circular cylindrical shells. Comput. Struct., 1987, 25, 677-685.
8. Kumbasar, N., Free vibration of thick spherical shells. Bull. Tech. University of Istanbul, 1988, 41, 273-283.
9. Sen, S. K. and Gould, P. L., Free vibration of shells of revolution using FEM. J. Engng Mech., 1974, 100, 283-303.
10. Ross, C. T. F., Finite elements for the vibration of cones and cylinders. Int. J. Numer. Meth. Engng, 1975, 9, 833-845.
11. Altman, W. and Neto, E. L., Vibration of thin shells of revolution based on a mixed finite element formulation. Comput. Struct., 1986, 23, 291-303.
12. Tou, S. K. and Wong, K. K., High precision finite element analysis of cylindrical shells. Comput. Struct., 1987, 26, 847-854.
13. Gautham, B. P. and Ganesan, N., Free vibration analysis of thick spherical shells. Comput. Struct., 1992, 45, 307-313.
14. Kant, T., Kumar, S. and Singh, U. P., Shell dynamics with three-dimensional, degenerate finite elements. Comput. Struct., 1994, 50, 135-146.
15. Aksu, T. and Kumbasar, N., A refined expression of potential energy for thick shells. Bull. Tech. University of Istanbul, 1992, 45, 407-417.
16. Aksu, T., A finite element formulation for moderately thick shells of general shape. Ph.D. thesis, Technical University of Istanbul, Istanbul, 1993.
17. Humar, J. L., Dynamics of Structures. Prentice Hall, Englewood Cliffs, NJ, 1990.
18. Kumbasar, N., Free vibration analysis of simply-supported rectangular plates with the three-dimensional elasticity theory. Assistant Professorship thesis, Technical University of Istanbul, Istanbul, 1968.
19. Bhimaraddi, A., A higher order theory for free vibration analysis of circular cylindrical shells. Int. J. Solids Struct., 1984, 20, 623-630.
20. Özakça, M. and Hinton, E., Free vibration analysis and optimization of axisymmetric plates and shells - I. Finite element formulation. Comput. Struct., 1994, 52, 1181-1197.
21. Luah, M. H. and Fan, S. C., General free vibration analysis of shells of revolution using the spline finite element method. Comput. Struct., 1989, 33, 1153-1162.