Abstract
The dynamical seismic design of a structure is often carried out by using response spectra as functions of damping ratio and natural period of the structure. For an actively-controlled structure, however, the response spectrum analysis is hardly executed. A newly response spectrum is proposed to evaluate the structural response of actively-controlled structure subjected to earthquake. This paper adopts a linear single-degree-of-freedom structure with active mass damper (AMD) system. An earthquake is modeled as Gaussian random process with Kanai-Tajimi spectrum. The control design is executed by linear quadratic Gaussian control strategy. Finally, the response factor is given by combination of the obtained statistical response values and random vibration theory. Analytical results are compared with numerical simulations.
