Nonlinear dynamics of closed spherical shells

Proceedings of the ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference - DETC2005

Volumn 1 B, Issue , 2005, Pages 1669-1681

  Nayfeh, Ali H ^a   Arafat, Haider M ^a  

^a State University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BIFURCATION (MATHEMATICS); NONLINEAR EQUATIONS; NONLINEAR SYSTEMS; RESONANCE;

INTERNAL RESONANCES; PRIMARY-RESONANCE EXCITATION; SPHERICAL SHELLS; VARIATIONAL APPROACH;

SHELLS (STRUCTURES);

EID: 33244476556     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1115/detc2005-85409     Document Type: Conference Paper

References (19)

1. Collins, P., Kuwahara, S., Nishimura, T., and Fukuoka, T., 1996. "Design and construction of zero-gravity gymnasium". In Proceedings in the Fifth International Conference on Space '96, Vol. 1, pp. 200-205.
2. Advauni, S. H., and Lee, Y. C., 1970. "Free vibrations of fluid-filled spherical shells". Journal of Sound and Vibration, 12, pp. 453-462.
3. Kanai, H., Nakaya, S., Chubachi, N., and Koiwa, Y., 1998. "Imaging spatial distribution of high-frequency small vibrations on the heart wall". In Proceedings of the 1998 IEEE Ultrasonics Symposium, Vol. 2, pp. 1689-1692.
4. Kanai, H., Nakaya, S., Honda, H., and Koiwa, Y., 1999. "Noninvasive estimation of left-ventricular end-diastole elasticity by analysing heart wall vibrations". Electronics Letters, 35, pp. 765-766.
5. Magari, P. J., Kline-Schoder, R. J., Stoedefalke, B. H., and Butler, B, D., 1997. "A non-invasive, in-vivo, bubble sizing instrument". In Proceedings of the 1997 IEEE Ultrasonics Symposium, Vol. 2, pp. 1205-1210.
6. Mclvor, I. K., and Sonstegard, D. A., 1966. "Axisymmetric response of a closed spherical shell to a nearly uniform radial impulse". The Journal of the Acoustical Society of America, 40, pp. 1540-1547.
7. Raouf, R. A., and Nayfeh, A. H., 1990. "Non-linear axisymmetric response of closed spherical shells to a radial harmonic excitation". International Journal of Non-Linear Mechanics, 25, pp. 475-492.
8. Nayfeh, A. H., 1973. Perturbation Methods. Wiley, New York, NY.
9. Nayfeh, A. H., 1981. Introduction to Perturbation Techniques. Wiley, New York, NY.
10. Yasuda, K., and Kushida, G., 1984. "Nonlinear forced oscillations of a shallow spherical shell". Bulletin of JSME, 27, pp. 2233-2240.
11. Longuet-Higgins, M. S., 1989. "Monopole emission of sound by asymmetric bubble oscillations, part 1. normal modes". Journal of Fluid Mechanics, 201, pp. 525-541.
12. Longuet-Higgins, M. S., 1989. "Monopole emission of sound by asymmetric bubble oscillations, part 2. an initialvalue problem". Journal of Fluid Mechanics, 201, pp. 543-565.
13. Williams, J. E. F., and Guo, Y. P., 1991. "On resonant nonlinear bubble oscillations". Journal of Fluid Mechanics, 224, pp. 507-529.
14. Longuet-Higgins, M. S., 1991. "Resonance in nonlinear bubble oscillations". Journal of Fluid Mechanics, 224, pp. 531-549.
15. Yang, S. M., Feng, Z. C., and Leal, L. G., 1993. "Nonlinear effects in the dynamics of shape and volume oscillations for a gas bubble in an external flow". Journal of Fluid Mechanics, 247, pp. 417-454.
16. Feng, Z. C., and Leal, L. G., 1993. "On energy transfer in resonant bubble oscillations". Physics of Fluids, 5, pp. 826-836.
17. Nayfeh, A. H., and Pai, P. F., 2004. Linear and Nonlinear Structural Mechanics. Wiley, New York, NY.
18. Kalnins, A., 1964. "Effect of bending on vibrations of spherical shells". The Journal of the Acoustical Society of America, 36, pp. 74-81.
19. Nayfeh, A. H., 2000. Nonlinear Interactions. Wiley, New York, NY.