Abstract
In the optimization of dynamic vibration absorbers (DVAs), it is generally assumed that the damping force changes in proportion to the velocity of the object; this damping is called viscous damping. On the other hand, many DVAs that are practically operated are made of polymeric rubbers having both restorative and damping effects. The damping force of this polymer material is considered to have a hysteretic type damping characteristic that is proportional to the displacement, not the velocity of the object. However, there are very few studies on the optimal design of this hysteretic damped DVA, and at present the design formula of the well-known general viscous damped DVA is used for design of this type of DVA. This article reports the optimal solution of this hysteretic damped DVA. For generality, it is assumed that the primary system also has a structural damping that can be treated as a hysteretic damping. A criterion, namely stability maximization criterion, is adopted for the optimization of DVA. In this criteria, the DVA operates to attenuate the transient response of the primary system in the shortest time. As a result of research, we succeeded in deriving a very simple general solution. The solution is compared with the solution derived in a general viscous damped vibratory system.
