Abstract
The paper considers a model for counteracting seismic effects on a bridge structure created by an active damping device. The essence of the proposed approach is that the active damper plays an auxiliary role as an intermediate device that allows you to determine the necessary hysteresis characteristics of effective damping. Based on the identified optimal hysteresis characteristics, it is possible to determine the parameters of passive dampers intended for direct installation on the protected object. An active damper can be implemented as a device on a specialized test bench, or virtually in numerical experiments. For numerical modeling, a mathematical model of active damping was developed, taking into account the pulsed nature of seismic effects and thereby expanding the limitations inherent in traditional harmonic analysis. In this model, convolutional representations of dynamic quantities are proposed, equivalent to the introduction of a weak measure of dynamic functions in the space of bridge oscillations. This approach is more responsive to the challenges of engineering applications.