engleski

ℋ2 optimal vibration control using tuned mass dampers and inertial actuators: comparison of passive and active control effects.

Tuned mass dampers (TMD) can be added to structures to reduce vibrations originating from an especially pronounced resonance. The simplest model of a TMD comprises a mass which is connected through a spring-dashpot pair to the primary structure. Important parameters of a TMD are its resonance frequency, determined through the mass and the spring stiffness, and the damping cofficient. These have to be carefully chosen with reference to the primary structure properties in order to achieve good vibration reductions in a broad frequency band. If a force actuator is added in parallel to the spring-dashpot pair, a tuned mass damper becomes an inertial actuator, which can be used to further attenuate vibrations of the primary structure. In this case a velocity sensor can be placed at the inertial actuator footprint whose output is fed back via a negative gain to the actuator, yielding a velocity feedback loop. This brings another parameter into the consideration which is the feedback gain. The optimum resonance frequency and the damping coefficient for passive TMDs have been determined using various optimality criteria throughout the 20th century. In this study we derive closed form expressions for the optimal parameters of an active tuned mass damper.

Tuned mass dampers; inertial actuators; active vibration control; velocity feedback; active damping; ℋ2 optimal control

nije evidentirano