Vibration of a Viscoelastic Bar in Consideration of the Correlation between Random Parameters

概要

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The longitudinal vibration of a viscoelastic bar which has random properties with respect to both the stiffness and the viscoelasticity is considered. The viscoelastic bar is subsituted by an n-degrees-of-freedom linear chain and the method to obtain the standard deviations of displacements etc. is given by developing Caravani's method. The correlation of the spring rate and the damping coefficient is also taken into consideration. The standard deviations are calculated to five-degrees-of-freedom in the numerical example. The coefficient of variation of eigenfrequencies remains constant regardless of the order of eigenfrequency. In the forced vibration, the displacement has the period 2π/ω, but the standard deviation of the displacement oscillates with the period π/ω. When the standard deviation of the damping coefficitnt increases, the phase angle deviates.
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