A weakly nonlinear, single-degree-of-freedom cubic system subject simultaneously to a time-varying force and parametric excitation is considered. The various types of resonance phenomena exhibited by the system are classified and a detailed stability analysis is presented for one case of particular interest.
Resonance Classification in a Cubic System
D. J. Ness
Dynamics Department, Systems Group of TRW, Inc., Redondo Beach, Calif.
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Ness, D. J. (September 1, 1971). "Resonance Classification in a Cubic System." ASME. J. Appl. Mech. September 1971; 38(3): 585–590. https://doi.org/10.1115/1.3408856
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