Free vibrations of elliptical rings with circumferentially variable thickness

Journal of Sound and Vibration

Volumn 228, Issue 3, 1999, Pages 683-699

  Hwang, R S ^a   Fox, C H J ^a   McWilliam, S ^a  

^a UNIVERSITY OF NOTTINGHAM   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001029452     PISSN: 0022460X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jsvi.1999.2421     Document Type: Article

References (11)

1. R. HWANG 1997 Ph.D. Thesis, University of Nottingham, U.K. Free vibrations of thin rings with profile variations.
2. R. S. HWANG, C. H. J. FOX and S. MCWILLIAM 1999 Journal of Sound and Vibration 220, 497-516. The in-plane vibration of thin rings with in-plane profile variations. Part I: general background and theoretical formulation.
3. R. S. HWANG, C. H. J. FOX and S. MCWILLIAM 1997 The 6th International Conference on Recent Advances in Structural Dynamics, Southampton, 1457-1470. The free, in-plane vibration of circular rings with small thickness variations.
4. C. H. J. FOX, R. S. HWANG and S. MCWILLIAM 1999 Journal of Sound and Vibration 220, 517-539. The in-plane vibration of thin rings with in-plane profile variation. Part II: application to nominally circular rings.
5. P. A. A. LAURA, E. BAMBILL, C. P. FILIPICH and R. E. ROSSI 1988 Journal of Sound and Vibration 126, 249-254. A note on free vibrations of non-uniform elliptical ring in its plane.
6. G. A. BRIGHAM 1973 The Journal of the Acoustical Society of America 54, 451-460. In-plane free vibrations of tapered oval rings.
7. K. SATO 1975 Journal of Acoustic Society of America 57, 113-115. Free flexural vibrations of an elliptical ring in its plane.
8. N. W. MCLACHLAN 1964 Theory and Application of Mathieu Functions. New York: Dover.
9. K. SUZUKI and A. W. LEISSA 1985 ASME Journal of Applied Mechanics 52, 149-154. Free vibrations of non-circular cylindrical shells having circumferentially varible thickness.
10. G. YAMADA, T. IRIE and S. NOTOYA 1985 Journal of Sound and Vibration 101, 133-139. Natural frequencies of elliptical cylindrical shells.
11. V. V. NOVOZHILOV 1959 The Theory of Thin Shells. Leiden: P. Noordhoff, first edition.