Eigenfrequency Allocation Using Undamped Passive Vibration Absorbers

Abstract

A new systems theoretical approach to the design of passive vibration absorbers for elastic systems is presented. Undamped lumped parameter models of flexible mechanical structures are considered. Necessary and sufficient conditions are derived under which a preselected eigenfrequency spectrum can be assigned to such a system using an undamped lumped parameter vibration absorber. The realizable eigenfrequency spectra are analytically characterized, the required dynamical order of the absorber is established, and a design method for its parameters is outlined.