This paper is concerned with optimization of the natural frequency of a vib
ration neutralizer to minimize the global vibration of a structure at a sin
gle frequency. The optimization is carried out using a quadratic minimizati
on technique to determine the dynamic stiffness of the control device that
is required, and then the optimum resonance frequency of the neutralizer is
determined. It is shown that, with the exception of very low frequencies,
an optimally adjusted vibration neutralizer can be as effective as an activ
e device at a single frequency. Simulations are presented with a single neu
tralizer on a beam to facilitate insight into the mechanisms of control.