Abstract
The equation of motion for the forced harmonic vibration of a viscoelastic oscillator is formulat-ed in terms of a fractional derivative in addition to ordinary derivatives. This equation of motion is exactly solved using the theory of fractional differential equations. An equivalent model of the viscoelastic oscillator is derived and used to estimate the responses of the oscillator. The validity of the equivalent model is proved by comparing the solutions of the exact model and the equivalent model for harmonic excitation. Damping property of the vibration of the viscoelastic oscillator is elucidated by the obtained responses.
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