Free non-linear vibration of a rotating thin ring with the in-plane and out-of-plane motions

Journal of Sound and Vibration

Volumn 258, Issue 1, 2002, Pages 167-178

  Kim, W ^a   Chung, J ^b  

^a Hanyang University   (South Korea)

^b Hanyang University   (South Korea)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; EQUATIONS OF MOTION; GEOMETRY; HAMILTONIANS; NATURAL FREQUENCIES; NONLINEAR EQUATIONS; NONLINEAR SYSTEMS; PARTIAL DIFFERENTIAL EQUATIONS; RINGS (COMPONENTS); ROTATING MACHINERY; STRAIN RATE; STRESS ANALYSIS;

CIRCUMFERENTIAL STRESS; INFINITESIMAL STAIN THEORY; LAGRANGE STRAIN THEORY; NON-LINEAR VIBRATIONS; ROTATING THIN RINGS;

VIBRATIONS (MECHANICAL);

EID: 23344443590     PISSN: 0022460X     EISSN: 10958568     Source Type: Journal    
DOI: 10.1006/jsvi.2002.5104     Document Type: Article

References (16)

1. S. S. RAO and V. SUNDARARAJAN 1969 American Society of Mechanical Engineers Journal of Applied Mechanics 36, 620-625. In-plane flexural vibrations of circular rings.
2. J. KIRKHOPE 1976 The Journal of the Acoustical Society of America 59, 86-89. Simple frequency expression for the in-plane vibration of thick circular rings.
3. D. A. EVENSEN 1966 American Society of Mechanical Engineers Journal of Applied Mechanics 33, 553-560. Nonlinear flexural vibrations of thin circular rings.
4. G. F. CARRIER 1945 Quarterly of Applied Mathematics 3, 235-245 On the vibrations of the rotating ring.
5. S. C. HUANG and W. SOEDEL 1987 Journal of Sound and Vibration 115, 253-274. Effects of Coriolis acceleration on the free and forced in-plane vibrations of rotating rings on elastic foundation.
6. S. NATSIAVAS 1994 International Journal of Non-Linear Mechanics 29, 31-48. Dynamics and stability of non-linear free vibration of thin rotating rings.
7. W. B. BICKFORD and E. S. REDDY 1985 Journal of Sound and Vibration 101, 13-22. On the inplane vibrations of rotating rings.
8. J. KIRKHOPE 1976 Proceedings of the American Society of Civil Engineers 102, 239-247. Out-of-plane vibration of thick circular ring.
9. S. Y. LEE and J. C. CHAO 2000 Journal of Sound and Vibration 238, 443-458. Out-of-plane vibrations of curved non-uniform beams of constant radius.
10. S. P. MAGANTY and W. B. BICKFORD 1987 American Society of Mechanical Engineers Journal of Applied Mechanics 54, 315-322. Large amplitude oscillations of thin circular rings.
11. R. ELEY, C. H. J. Fox and S. McWILLIAM 2000 Journal of Sound and Vibration 238, 459-480. Coriolis coupling effects on the vibration of rotating rings.
12. R. D. BLEVINS 1979 Formulas for Natural Frequency and Mode Shape. New York: Van Nostrand Reinhold Co., Chapter 9.
13. M. ENDO, K. HATAMURA, M. SAKATA and O. TANIGUCHI 1984 Journal of Sound and Vibration 92, 261-272. Flexural vibration of a thin rotating ring.
14. J. CHUNG, J.-E. OH and H. H. Yoo 2000 Journal of Sound and Vibration 231, 375-391. Non-linear vibration of a flexible spinning disc with angular acceleration.
15. J. CHUNG, N.-C. KANG and J. M. LEE 1996 KSME International Journal 10, 138-145. A study on free vibration of a spinning disk.
16. E. H. K. FUNG and D. T. W. YAU 1999 Journal of Sound and Vibration 224, 809-841. Effects of centrifugal stiffening on the vibration frequencies of a constrained flexible arm.