Abstract

This paper proposes a method of frequency response analysis of a vibration system with parametric excitation of damping coefficient and external harmonic excitation. A simple base-excited vibration system with a variable damper whose coefficient is changed like sine wave is considered. By the product of the damping coefficient and the input velocity, new two vibrations that have another frequencies besides the input frequency arise. Therefore, the oscillation of the damping coefficient with a suitable frequency can generate new vibration that has the natural frequency of the vibration system. As a result, the vibration amplitude increases because of resonance phenomenon. In our prior study, we have confirmed the phenomenon by numerical calculation. In this paper, we carry out theoretical analysis and obtain frequency response of the system. Finally, we confirm the effectiveness of the proposed analysis method by comparing the analysis result with the previous simulation results.

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