References
- Yamamoto, T. and Saito, A., 1970, “On the Vibrations of ‘Summed Differential Types’ under Parametric Excitation,” Memories of the Faculty of Engineering, Nagoya University, Vol. 22, No. 1, pp. 54-123.
- Dugundji, J. and Mukhopadhyay, V., 1973, “Lateral Bending-torsion Vibrations of a Thin Beam under Parametric Excitation,” Journal of Applied Mechanics, Vol. 40, No. 3, pp. 693-698. https://doi.org/10.1115/1.3423075
- Hsu, C. S., 1975, “Limit Cycle Oscillations of Parametrically Excited Second-order Nonlinear Systems,” Journal of Applied Mechanics, Vol. 42, pp. 176-182. https://doi.org/10.1115/1.3423512
- Mukhopadhyay, V., 1980, “Combination Resonance of Parametrically Excited Coupled Second Order Systems with Non-linear Damping,” Journal of Sound and Vibration, Vol. 69, No. 2, pp. 297-307. https://doi.org/10.1016/0022-460X(80)90614-8
- Zhang, W., Wang, F. and Yao, M., 2005, “Global Bifurcations and Chaotic Dynamics in Non-linear Non-planar Oscillations of a Parametrically Excited Cantilever Beam,” Nonlinear Dynamics, Vol. 40, No. 3, pp. 251-279. https://doi.org/10.1007/s11071-005-6435-3
- Cartmell, M. P. and Roberts, J. W., 1988, “Simultaneous Combination Resonances in an Autoparametrically Resonant System,” Journal of Sound and Vibration, Vol. 123, No. 1, pp. 81-101. https://doi.org/10.1016/S0022-460X(88)80080-4
- Bang, D. J., Lee, G. D., Jo, H. D. and Jeong, T. G., 2008, “Stability of Nonlinear Oscillations of a Thin Cantilever Beam Under Parametric Excitation,” Transactions of the Korean Society for Noise and Vibration Engineering, Vol. 18, No. 2, pp. 160-168. https://doi.org/10.5050/KSNVN.2008.18.2.160
- Bang, D. J., 2007, “Study on the Stability of Nonlinear Oscillations of a Thin Cantilever Beam Under Parametric Excitation,” MS Thesis, Konkuk University, Seoul, Korea.
- Bolotin, V. V., 1964, “Dynamic Stability of Elastic Systems,” Holden-Day, Inc., San Francisco.