A new criterion to optimize the parameters of a dynamic vibration absorber

S. A. VERA; M FEBBO

Vienna (Austria)

Congreso; Thirteenth International Congress on Sound and Vibration (ICSV13); 2006

International Institute of Acoustic and Vibration

The dynamic vibration absorbers (DVA) are simple and traditional devices used very commonly for vibration suppression. In this work a theoretical analysis of a dynamic vibration absorber attached to a viscously damped beam is presented. The DVA is composed by several one degree of freedom systems, its principal advantage is that it is possible to control several modes of the principal structure simultaneously. A new criterion is introduced to optimize the parameters of the device with the objective of reducing the motion of certain points of the beam. The mathematical model is based on the Assumed-Modes Method which makes use of Lagrange’s multipliers to take into account the constraints introduced by the absorber and the optimization is performed by means of the "simulated annealing" technique. The proposed method consists on minimizing the amplitude of vibration in predetermined points of the beam considering a broadband attenuation and using Den Hartog’s proposals. Cases studied show the influence of the position of the DVA relative to the point where the motion is desired to be reduced is considered.