Non-linear free vibration analysis of laminated non-homogeneous orthotropic cylindrical shells

Proceedings of the Institution of Mechanical Engineers, Part K: Journal of Multi-body Dynamics

Volumn 217, Issue 4, 2003, Pages 293-300

  Sofiyev, A H ^a   Aksogan, O ^b  

^a SULEYMAN DEMIREL UNIVERSITY   (Turkey)

^b CUKUROVA UNIVERSITY   (Turkey)

Author keywords

Laminated shell; Natural frequency; Non homogeneous orthotropic material; Non linear vibration

Indexed keywords

DEFORMATION; DENSITY (SPECIFIC GRAVITY); DIFFERENTIAL EQUATIONS; ELASTIC MODULI; EQUATIONS OF MOTION; GALERKIN METHODS; LAMINATES; VIBRATIONS (MECHANICAL);

GEOMETRIC NONLINEARITY; LAMINATED NONHOMOGENEOUS ORTHOTROPIC CYLINDRICAL SHELLS; NONLINEAR FREE VIBRATION ANALYSIS; SHELL DISPLACEMENT;

SHELLS (STRUCTURES);

EID: 1642309479     PISSN: 14644193     EISSN: None     Source Type: Journal    
DOI: 10.1243/146441903322683040     Document Type: Article

References (17)

1. Ambartsumian, S. A. Theory of anisotropic shells. NASA, TT F-118, 1964.
2. Leissa, A. W. Vibration of shells. NASA, SP-288, 1973.
3. Jones, R. M. and Morgan, H. S. Buckling and vibration of cross-ply laminated circular cylindrical shells. Am. Inst. Aeronaut. Astronaut. J., 1975, 13, 664-671.
4. Tong, L. Free vibration of composite laminated conical shells. Int. J. Mech. Sci., 1993, 35, 47-61.
5. Greenberg, J. B. and Stavsky, Y. Vibrations and buckling of composite orthotropic cylindrical shells with non-uniform axial loads. Composites Part B - Engng, 1998, 29, 695-703.
6. Ng, T. Y., Lam, K. Y. and Reddy, J. N. Dynamic stability of cross-ply laminated composite cylindrical shells. Int. J. Mech. Sci., 1998, 40, 805-823.
7. Lakis, A. A., Selmane, A. and Toledano, A. Nonlinear free vibration of laminated orthotropic cylindrical shells. Int. J. Mech. Sci., 1998, 40, 27-49.
8. Lomakin, V. A. The Elasticity Theory of Non-homogeneous Materials, 1976 (Nauka, Moscow)(in Russian).
9. Massalas, C., Dalamanagas, D. and Tzivanidis, G. Dynamic instability of truncated conical shells with variable modulus of elasticity under periodic compressive forces. J. Sound and Vibr., 1981, 79, 519-528.
10. Gutierrez, R. H., Laura, P. A. A., Bambill, D. V., Jederlinic, V. A. and Hodges, D. H. Axisymmetric vibrations of solid circular and annular membranes with continuously varying density. J. Sound and Vibr., 1998, 212, 611-622.
11. Aksogan, O. and Sofiyev, A. H. The dynamic stability of a laminated non-homogeneous orthotropic elastic cylindrical shell under a time dependent external pressure. In Proceedings of International Conference on Modern Practice in Stress and Vibration Analysis, Nottingham, 2000, pp. 349-360.
12. Aksogan, O. and Sofiyev, A. H. The dynamic stability of a laminated truncated conical shell with variable elasticity moduli and densities subject to a time dependent external pressure. Int. J. Strain Analysis for Engng Design, 2002, 37, 201-210.
13. Sofiyev, A. H. and Aksogan, O. The dynamic stability of a non-homogeneous orthotropic elastic conical shell under a time dependent external pressure. Strain Engng and Mechanics An Int. J., 2002, 13, 329-343.
14. Nowinski, J. L. Nonlinear transverse vibrations of orthotropic cylindrical shells. Am. Inst. Aeronaut. Astronaut. J., 1963, 1, 617-620.
15. Volmir, A. S. Stability of Elastic Systems, 1967 (Nauka, Moscow) (English translation: Foreign Technology Division, Air Force Systems Command, Wright-Patterson Air Force Base, Ohio, AD628508).
16. Naeem, M. N. and Sharma, C. B. Prediction of natural frequencies for thin circular cylindrical shells. Proc. Instn Mech. Engrs, Part C: J. Mechanical Engineering Science, 2000, 214, 1313-1328.
17. Sewall, J. L. and Naumann, E. C. An experimental and analytical vibration study of thin cylindrical shells with and without longitudinal stiffeners. NASA, TN D-4705, 1968.