A finite element based perturbation method for nonlinear free vibration of structures

Collection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference

Volumn 8, Issue , 2007, Pages 7912-7927

  Tiso, Paolo ^a,b   Jansen, Eelco ^a,b  

^a DELFT UNIVERSITY OF TECHNOLOGY   (Netherlands)

^b Department of Aerospace Engineering ^*  (Netherlands)

Author keywords

[No Author keywords available]

Indexed keywords

FINITE ELEMENT METHOD; GEOMETRY; NONLINEAR ANALYSIS; VIBRATION CONTROL;

FINITE AMPLITUDES; FINITE ELEMENT IMPLEMENTATION; FINITE ELEMENT NOTATION; FREQUENCY AMPLITUDE RELATION;

PERTURBATION TECHNIQUES;

EID: 34547498577     PISSN: 02734508     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.2514/6.2007-2362     Document Type: Conference Paper

References (16)

1. Moussaoui, F. and Benamar, R., "Non-Linear Vibrations of Shell-Type Structures: A Review with Bibliography," Journal of Sound and Vibration, Vol. 255, 2002, pp. 161-184.
2. Amabili, M. and Païdoussis, M., "Review of studies on geometrically nonlinear vibrations and dynamics of circular cylindrical shells and panels, with and without fluid-structure interaction," Appl. Mech. Rev., Vol. 56, No. 4, 2003, pp. 349-381.
3. Nayfeh, A. H. and Mook, D. T., Nonlinear Oscillations, Wiley, New York, 1979.
4. Tiso, P., Finite Element. Based Reduction Methods for Static and Dynamic Analysis of Thin-Walled Structures, Ph.D. thesis. Faculty of Aerospace Engineering, Delft University of Technology, The Netherlands, 2006.
5. Byskov, E. and Hutchinson, J. W., "Mode interaction in axially stiffened cylindrical shells," AIAA Journal, Vol. 15, 1977, pp. 941-948.
6. Rehfield, L. W., "Nonlinear vibration of elastic structures," International Journal of Solids Structures, Vol. 9, 1973, pp. 581-590.
7. Jansen, E. L., Nonlinear Vibrations of Anisotropic Cylindrical Shells, Ph.D. thesis. Faculty of Aerospace Engineering, Delft University of Technology, The Netherlands, 2001.
8. Chu, H. N. and Herrmann, G., "Influence of large amplitudes on free flexural vibrations of rectangular elastic plates," Journal of Applied Mechanics. Vol. 23, 1956, pp. 532-540.
9. Koiter, W. T., "On the nonlinear theory of thin elastic shells." Proc. Koninklijke Nederlandse Academie van Wetenschappen Ser. B. 69, 1966, pp. 1-54.
10. El-Raheb, M. and Babcock, C. D., "Some approximations in the linear dynamic equations of thin cylinders," J. Sound and Vibration, Vol. 76, No. 4, 1981, pp. 543-559.
11. Chen, J. C., Nonlinear vibrations of cylindrical shells, Ph.D. thesis, California Institute of Technology, Pasadena, California. 1972.
12. Olson, M. D., "Some experimental observations on the nonlinear vibration of cylindrical shells," AIAA Journal, Vol. 3, No. 9, 1965, pp. 1775-1777.
13. Evensen, D. A., "Nonlinear Flexural Vibrations of Thin-Walled Circular Cylinders," NASA TN D-4090, 1967.
14. Pellicano, F., Amabili, M., and Paidoussis, M. P., "Effect of geometry on the non-linear vibration of circular cylindrical shells," International Journal of Non-Linear Mechanics, Vol. 37, No. 7, 2002, pp. 1181-1198.
15. Ganapathi, M. and Varadan, T. K., "Large Amplitude Vibrations of Circular Cylindrical Shells," Journal of Sound and Vibration, Vol. 192, No. 1, 1996, pp. 1-14.
16. Jansen, E. L., "A comparison of analytical-numerical models for nonlinear vibrations of cylindrical shells," Computers & Structures, Vol. 82, 2004, pp. 2647-2658.