Active Structural Control for Frame Seismic Vibrations

A theory of frame beam displacement control by active tendons is presented in this paper. A dynamic loading is horizontal displacement of supports, such as one occurring during an earthquake. The frame is approximated by a single-degree-of-freedom system. The state equation is obtained from the system equation of motion. The optimal control is applied by an integral quadratic criterion. A control numerical example of a reinforced concrete frame, such as one of a turbo alternators foundation, is presented. The accelerogram of the Petrovac earthquake recorded in Montenegro is used as base excitation. The system responses with and without control are compared. After that, the same system responses to a rectangular pulse base excitation are parametricaly analysed. The numerical results obtained indicate that frame seismic vibrations can be considerably decreased by the active control.