New concepts in damping generation and control: theoretical formulation and industrial applications

These notes are finalized to a particular study of the damping mechanism in Hamiltonian systems, characterized indeed by the absence of any energy dissipation effect. In facr, a clear distinction emerges between the two previous concepts, that indeed seem to be, at a first glance, somehow contradictory. This leads to the wrong expectation that the motion of any part of a disspation-free system maintains a sort of constant amplitude response. It is indeed true the converse: even in the absence of any energy dissipation mechanisms, mechanical systems can exhibit damping, i.e. a decay amplitude motion. This fact is theoretically investigated and applied to cenceive new and high efficient dampers for engineering industrial use.