Suppression of super-harmonic resonance response using a linear vibration absorber |
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| Authors: | J.C. Ji N. Zhang |
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| Affiliation: | School of Electrical, Mechanical and Mechatronic Systems, Faculty of Engineering and IT, University of Technology, Sydney, PO Box 123, Broadway, NSW 2007, Australia |
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| Abstract: | Super-harmonic resonances may appear in the forced response of a weakly nonlinear oscillator having cubic nonlinearity, when the forcing frequency is approximately equal to one-third of the linearized natural frequency. Under super-harmonic resonance conditions, the frequency-response curve of the amplitude of the free-oscillation terms may exhibit saddle-node bifurcations, jump and hysteresis phenomena. A linear vibration absorber is used to suppress the super-harmonic resonance response of a cubically nonlinear oscillator with external excitation. The absorber can be considered as a small mass-spring-damper oscillator and thus does not adversely affect the dynamic performance of the nonlinear primary oscillator. It is shown that such a vibration absorber is effective in suppressing the super-harmonic resonance response and eliminating saddle-node bifurcations and jump phenomena of the nonlinear oscillator. Numerical examples are given to illustrate the effectiveness of the absorber in attenuating the super-harmonic resonance response. |
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| Keywords: | Nonlinear vibrations Single degree-of-freedom nonlinear oscillator Super-harmonic resonances Vibration suppression Linear vibration absorber |
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