Exact boundary condition perturbation solubons eigenvalue problems

Journal of Applied Mechanics, Transactions ASME

Volumn 63, Issue 1, 1996, Pages 128-135

  Parker, R G ^a   Mote, C D ^b  

^a Ohio State University   (United States)

^b UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0038988428     PISSN: 00218936     EISSN: 15289036     Source Type: Journal    
DOI: 10.1115/1.2787187     Document Type: Article

References (17)

1. Courant, R., and Hilbert, D., 1989, Methods of Mathematical Physics, John Wiley and Sons, New York.
2. Lcissa, A. W., Laura, P. A. A., and Gutierrez, R. H., 1979, “Transverse Vibrations of Circular Plates having Nonuniform Edge Constraints,” Journal of the Acoustical Society of America, Vol. 66. pp. 180-184.
3. McLachlan, N. W., 1955, Bessel Functions for Engineers, Clarendon Press, Oxford, pp. 190-206.
4. Meirovitch, L., 1967, Analytical Methods in Vibration, Macmillan. New York, p. 183.
5. Morse, P. M., and Feshbach, H., 1953, Methods of Theoretical Physics, McGraw-Hill. New York.
6. Nayfeh, A. IL, Mook, D. T., Lobitz, D. W., and Sridhar, S., 1976, “Vibrations of Nearly Annular and Circular Plates,” Journal of Sound and Vibration, Vol. 47, pp. 75-84.
7. Parker, R. G., and Mote, Jr., C. D., 1991, “Tuning of the Natural Frequency Spectrum of a Circular Plate by In-plane Stress,” Journal of Sound and Vibration, Vol. 145, Feb., pp. 95-110.
8. Parker, R. G., and Mote, Jr., C. D., 1996, “Exact Perturbation for the Vibration of Almost Annular or Circular Plates,” Journal of Vibration and Acoustics, Vol. 118.
9. Pierre, C., 1987, “Eigcnsolution Perturbation for Systems with Perturbed Boundary Conditions.” Journal of Sound and Vibration, Vol. 112, No. 1, pp. 167-172.
10. Pierre, C., 1988, “Comments on Rayleigh’s Quotient and Perturbation Theory for the Eigenvalue Problem," ASME Journal of Applied Mechanics, Vol. 55, pp. 986-988.
11. Roach, G. F 1982, Green's Functions, Cambridge University Press. Cambridge, UK, p. 156.
12. Shen, I. Y., and Mote, Jr., C. D., 1993, “On the Mode Splitting of Degenerate Mechanical Systems Containing Cracks.” ASME Journal of Applied Mechan ics. Vol. 60, Dec. pp. 929-935.
13. Stakgold, I., 1979, Green's Functions and Boundary Value Problems, John Wiley and Sons, New York.
14. Tobias, S. A., and Arnold, R. N 1957, "The Influence of Dynamical Imperfection on the Vibration of Rotating Disks," Proc. of the hist, of Mech. Engineers. Vol. 171, pp. 669-690.
15. Tseng, J. G and Wickert, J. A., 1994, “Vibration of an Eccentrically Clamped Annular Plate,” Journal of Vibration and Acoustics, Vol. 116, pp. 155-160.
16. Tseng, J. G and Wickert, J. A., 1994, “On the Vibration of Bolted Plate and Flange Assemblies,” Journal of Vibration and Acoustics, Vol. 116, pp. 468 -473.
17. Yu, R. C., and Mote, Jr., C. D., 1987, "Vibration and Parametric Excitation in Asymmetric Circular Plates Under Moving Loads,” Journal of Sound and Vibration, Vol. 119, pp. 409-427.