Abstract

In this paper we address an integrated design problem of semi-active controlled civil structures with Vibration Control Device (VCD) that has been developed by authors. A new semi-active control law based on a one-step-ahead prediction of the seismic response is proposed. The VCD generates two types of resistance forces, i.e., a damping force proportional to the relative velocity and an inertial force proportional to the relative acceleration between two stories. The damping coefficient of the VCD can be changed with a command signal to an electric circuit connected to the VCD. In the present paper the command signal for changing the damping coefficient of each VCD is assumed to take two values, i.e., the command to take the maximum or minimum damping coefficient. The optimal command signal is selected from all candidates of command signals so that a norm of the one-step-ahead predicted seismic response, calculated by a numerical integration, is minimized. Under the semi-active control law the stiffness distribution between neighboring two stories of the structure, design parameters of the VCDs and those in the semi-active control are optimized so that the seismic responses subject to various recorded and artificial earthquake waves are optimized. Genetic Algorithm (GA) is adopted for the optimal design. A simulation example of a fifteen-story building with three VCDs is presented. With the proposed integrated design method structural parameters and the semi-active control law that achieve the good control performance have been obtained.

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