Dynamic vibration absorbers for vibration control within a frequency band

Abstract

The use of dynamic vibration absorbers to control the vibration of a structure In both narrow and broad bands is discussed in this paper. As a benchmark problem, a plate incorporating multiple vibration absorbers is formulated, leading to an analytical solution when the number of absorbers yields to one. Using this analytical solution, control mechanisms of the vibration absorber in different frequency bandwidths are studied; the coupling properties due to the introduction of the absorber into the host structure are analyzed; and the control performance of the absorber in different control bandwidths is examined regarding to its damping and location. It is found that the interaction between the plate and the absorber by means of the reaction force from the absorber plays a dominant role in a narrow band control, while in a relatively broad band control, the dissipation by the absorber damping governs the control performance. Numerical findings are assessed based on a simply-supported plate and a fair agreement between the predicted and measured results is obtained.