Optimisation of dynamic vibration absorbers to minimise kinetic energy and maximise internal power dissipation

Abstract

The tuning of a dynamic vibration absorber is considered such that either the kinetic energy of the host structure is minimised or the power dissipation within the absorber is maximised. If the host structure is approximated as a lightly damped, single degree of freedom, system, simple expressions are obtained for the optimal ratio of the absorber natural frequency to the host natural frequency and optimal damping ratio of the absorber. These optimal values are shown to be the same whether the kinetic energy of the host structure is minimised or if the power dissipation of the absorber is maximise