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- W2234086376 abstract "Super-harmonic resonances may appear in a forced weakly nonlinear system of cubic nonlinearity, when the forcing frequency is approximately equal to one-third of the linearized natural frequency. In contrast with the corresponding linear oscillator, the free-oscillation term does not decay to zero despite of the presence of damping and the nonlinearity adjusts the frequency of the free-oscillation term to exactly three times the frequency of the excitation. Saddle-node bifurcations may appear in the frequency-response curve for the amplitude of the free-oscillation terms, which may lead to jump and hysteresis phenomenon. A small linear vibration absorber is designed to suppress the super-harmonic resonance response of the forced oscillator of cubic nonlinearity. The absorber can be considered as a small mass-spring-damper oscillator in the sense that the mass and stiffness of the absorber are less than one-tenth of the values of the mass and linear stiffness of the forced nonlinear oscillator. It is shown that a small linear vibration absorber is effective in suppressing the super-harmonic resonance response of the system by transferring the vibrational energy from the main nonlinear oscillator to a small mass-spring-damper oscillator. Saddle-node bifurcations and jump phenomena can be easily eliminated by adding the small linear vibration absorber to the forced oscillator." @default.
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- W2234086376 date "2009-01-01" @default.
- W2234086376 modified "2023-09-28" @default.
- W2234086376 title "Suppression of Super-harmonic Resonance Response of a Forced Nonlinear System Using a Linear Vibration Absorber" @default.
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