Suppression of super-harmonic resonance response using a linear vibration absorber

Pergamon - Elsevier Ltd
Publication Type:
Journal Article
Mechanics Research Communications, 2011, 38 (6), pp. 411 - 416
Issue Date:
Full metadata record
Files in This Item:
Filename Description Size
Thumbnail2011000801OK.pdf329.68 kB
Adobe PDF
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 superharmonic 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.
Please use this identifier to cite or link to this item: