On the Free Vibration and the Transient State of One-degree-of-freedom System with Elastically Supported Viscous Damper

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In this paper, the free vibration of a one-degree-of-freedom system with an elastically supported viscous damper and with arbitrary stiffness ratio k of the springs is considered. The interesting facts that the system has an optimum damping value for the free vibration and that the value is nearly equal to that for the displacement of forced vibration, have been derived from the study. In addition, the transient vibration of a vehicle equipped with a damper adjusted adequately for the steady motion in passing over a raised or sunken place, has been investigated, comparing the result with that of a vehicle with the conventional type of suspension consisting of a spring connected in parallel with a damper, and it has become clear that the former has considerable advantages over the latter in softening shocks.
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