Multi-mode trimming of imperfect thin rings using masses at pre-selected locations

Journal of Sound and Vibration

Volumn 256, Issue 2, 2002, Pages 319-345

  Rourke, A K ^a   McWilliam, Stewart ^a   Fox, C H J ^a  

^a UNIVERSITY OF NOTTINGHAM   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

DEFECTS; NATURAL CONVECTION; TRIMMING; VIBRATIONS (MECHANICAL);

IMPERFECT THIN RINGS;

RINGS (COMPONENTS);

EID: 0037068919     PISSN: 0022460X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jsvi.2001.4211     Document Type: Article

References (17)

1. Lord Rayleigh 1887 The Theory of Sound, Vol. 1, section 235. New York: Dover, second edition, 1945 reissue.
2. D. Allaei, W. Soedel and T.Y. Yang 1986 Journal of Sound and Vibration 111, 9-27. Natural frequencies of rings that depart from perfect axial symmetry.
3. C.H.J. Fox 1988 Proceedings of DGON Symposium on Gyro Technology, Stuttgart, chapter 5. Vibrating cylinder rate gyro: theory of operation and error analysis.
4. I. Hopkin 1997 Proceedings of DGON Symposium on Gyro Technology, Stuttgart, chapter 1. Performance and design of a silicon micro-machined gyro.
5. S.A. Tobias 1951 Engineering 172, 409-410. A theory of imperfection for elastic bodies of revolution.
6. P.A.A. Laura, C.P. Filipich, R.E. Rossi and J.A. Reyes 1988 Applied Acoustics 25, 225-234. Vibrations of rings of variable cross section.
7. R.F. Tonin and D.A. Bies 1979 Journal of Sound and Vibration 62, 165-180. Free vibration of a circular cylinder with variable thickness.
8. 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.
9. 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 variations. Part II: application to nominally circular rings.
10. R.S. Hwang, C.H.J. Fox and S. McWilliam 1999 Journal of Sound and Vibration 228, 683-699. Free vibrations of elliptical rings with circumferentially variable thickness.
11. R. Eley, C.H.J. Fox and S. McWilliam 1999 Journal of Sound and Vibration 228, 11-35. Anisotropy effects on the vibration of circular rings made from crystalline silicon.
12. C.H.J. Fox 1990 Journal of Sound and Vibration 142, 227-243. A simple theory for the analysis and correction of frequency splitting in slightly imperfect rings.
13. C.H.J. Fox 1997 Proceedings of XV International Modal Analysis Conference, Tokyo, 566-572. Mode trimming in nominally axi-symmetric structures.
14. R. Perrin 1971 Acustica 25, 69-72. Selection rules for the splitting of the degenerate pairs of natural frequencies of thin circular rings.
15. T. Charnley and R. Perrin 1973 Acustica 28, 139-146. Perturbation studies with a thin circular ring.
16. A.K. Rourke, S. McWilliam and C.H.J. Fox 2001 Proceedings of the Fourth International Conference on Modern Practice in Stress and Vibration Analysis, Nottingham, 361-372. Dual-mode frequency trimming of imperfect rings.
17. A.K. Rourke, S. McWilliam and C.H.J. Fox 2001 Journal of Sound and Vibration 248, 695-724. Multi-mode frequency trimming of imperfect rings.