Automatic averaging in the vibrational control of nonlinear systems

Abstract

Vibrational control is a nonclassical technique proposing the utilisation of zero mean parametric vibrations for shaping the response of a linear or nonlinear dynamic system. Several theoretical results on vibrational control are available in literature. In the case of nonlinear systems computational difficulties arise and theoretical results cannot easily be applied. A new averaging technique, based on the Taylor series expansion of the nonlinear system, is proposed in order to overcome such difficulties.<>