This paper reports the case of internal resonance three-to-one with frequency of excitation near natural frequency in the case of bending vibrations of nonuniform cantilever with small damping. The case of nonlinear curvature, moderately large amplitudes, is considered. The method of multiple scales is applied directly to the nonlinear partial-differential equation of motion and boundary conditions. The phase-amplitude equations are analytically determined. Steady-state response is reported.
- Dynamic Systems and Control Division
On Internal Resonance of Nonlinear Nonuniform Beams
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Caruntu, DI. "On Internal Resonance of Nonlinear Nonuniform Beams." Proceedings of the ASME 2009 Dynamic Systems and Control Conference. ASME 2009 Dynamic Systems and Control Conference, Volume 2. Hollywood, California, USA. October 12–14, 2009. pp. 525-531. ASME. https://doi.org/10.1115/DSCC2009-2647
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