Asymptotic distribution of eigenvalues of a constrained translating string

Journal of Applied Mechanics, Transactions ASME

Volumn 64, Issue 3, 1997, Pages 613-619

  Zhu, W D ^a   Mote, C D ^b   Guo, B Z ^c  

^a CHINESE UNIVERSITY OF HONG KONG   (Hong Kong)

^b UNIVERSITY OF CALIFORNIA   (United States)

^c BEIJING INSTITUTE OF TECHNOLOGY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000157123     PISSN: 00218936     EISSN: 15289036     Source Type: Journal    
DOI: 10.1115/1.2788937     Document Type: Article

References (10)

1. Bellman, R., and Cooke, K., 1963, Differential-Dijference Equations, Academic Press, New York.
2. Carrier, G. F., Krook, M., and Pearson, C. E., 1983, Functions of a Complex Variable: Theoty and Technique, Hod Books, Ithaca, NY.
3. Hardy, G. H., and Wright, E. M., 1979, An Introduction to the Theory of Numbers, 5th ed, Oxford University Press, Oxford, UK.
4. Perkins, N. C., 1990, “Linear Dynamics of a Translating String on an Elastic Foundation,” Journal of Vibration and Acoustics, Vol. 112, No. 5, pp. 2-7.
5. Sack, R. A., 1954, “Transverse Oscillations in Travelling Strings,” British Journal of Applied Physics, Vol. 5, pp. 224-226.
6. Wickert, J. A., and Mote, C. D. Jr., 1988, “Current Research on the Vibration and Stability of Axially Moving Materials,” Shock and Vibration Digest, Vol. 20, No. 5, pp. 3-13.
7. Yang, B., 1992, “Eigenvalue Inclusion Principles for Distributed Gyroscopic Systems,” ASME Journal of Applied Mechanics, Vol. 59, pp. 425-443.
8. Yang, B., and Mote, C. D., Jr., 1991a, “Active Vibration Control of the Axially Moving String in the s Domain,” ASME Journal of Applied Mechanics, Vol. 58, pp. 189-196.
9. Yang, B., and Mote, C. D., Jr., 1991b, “Controllability and Observability of Distributed Gyroscopic Systems,” ASME Journal of Dynamic Systems, Measurement and Control, Vol. 113, pp. 11-17.
10. Zhu, W. D., and Mote, C. D., Jr., 1995, “Propagation of Boundary Disturbances in an Axially Moving Strip in Contact with Rigid and Flexible Constraints,” ASME Journal of Applied Mechanics, Vol. 62, pp. 873-879.