Mechanical Vibrations and Vibration Control

In these lectures, an introduction is given into the basic concepts of the theory of active and passive vibration damping. First one degree of freedom systems are discussed with respect to the different solution techniques and with view to damping and isolation mechanisms. Next the theory of optimal control is briefly introduced and some examples are given. Mechanical systems with n degrees of freedom are discussed and the concepts of mechanical impedance, vibration absorption and impedance matching are studied. The sources of nonli-nearities in structural vibrations are examined and an appropriate solution technique is explored. Finally, special attention is devoted to a particular technical application, namely to the wind-exited vibrations of transmission lines, where the problem of the damping of bundles of conductors is discussed in more detail.