Distributed Dynamic Vibration Absorbers.

The theory and applications of the classical discrete dynamic vibration absorber are well known. This concept of absorber is extended to distributed or continuous systems. The use of discrete dynamic absorbers for distributed parameter systems has been actively investigated, but the case of a distributed system as an absorber, in its true context of dynamic vibration absorber, for another distributed system is not well understood. Such a case is studied in the present work. An auxiliary beam is used as a dynamic absorber for a main beam of different uniform linear mass density and flexural rigidity. The two beams are connected by a distributed viscoelastic material whose simple model is springs- and -dashpots in parallel. The boundary conditions of the two beams are homogeneous but arbitrary. The formulation and solutions of the forced vibrations are presented. The optimal parameters of the absorber are determined such that the largest displacement and transmissibility of the main beam are minimized. The method can be extended to other distributed parameter systems.Ph.D.MechanicsUniversity of Michiganhttp://deepblue.lib.umich.edu/bitstream/2027.42/161478/1/8712233.pd