References
- Hoppe, R., 1871, 'The Bending Vibration of a Circular Ring,' Crelle Journal of Mathematics, Vol. 73, p. 158
- Rao, S. S., 1969, 'In-Plane Flexural Vibration of Circular Rings,' Trans. of ASME, Journal of Applied Mechanics, 91, pp. 620-625
- Kirkhope, J., 1976, 'Simple Frequency Expression for the In-plane Vibration of Thick Circular Rings,' The Journal of the Acoustical Society, Vol. 59, No. 1, pp. 86-89 https://doi.org/10.1121/1.380829
- Evensen, D. A., 1966, 'Nonlinear Flexural Vibrations of Thin Circular Rings,' Trans. of ASME, Journal of Applied Mechanics, Vol. 33, pp. 553-560
- Carrier, G. F., 1945, 'On the Vibration of the Rotating Ring,' Quart. Appl. Math, Vol. 3, No. 3, pp. 235-245
- Huang, S. C. and Soedel, W., 1987, 'Effects of Coriolis Acceleration on the Free and Forced Inplane Vibration of Rotating Rings on Elastic Foundations,' Journal of Sound and Vibrations, Vol. 115, No. 2, pp. 253-274 https://doi.org/10.1016/0022-460X(87)90471-8
- Natsiavas, S., 1994, 'Dynamics and Stability of Non-Linear Free Vibration of Thin Rotating Rings,' Journal of Non-Linear Mechanics, Vol. 29, No. 1, pp. 31-48 https://doi.org/10.1016/0020-7462(94)90050-7
- Kirkhope, J., 1976, 'Out-of-Plane Vibration of Thick Circular Ring,' Proc. of ASCE, Journal of the Engineering Mechanics Division, Vol. 102, No. EM2, pp. 239-247
- Maganty, S. P. and Bickford, W. B., 1987, 'Large Amplitude Oscillations of Thin Circular Rings,' Trans. of ASME Journal of Applied Mechanics, Vol. 54, pp. 315-322
- Soedel, W., 1993, Vibrations of Shells and Plates, Marcel Dekker