Design of Fluid Viscous Dampers for Single-Story Asymmetric-Plan Buildings Based on LQR Theory

The design of passive energy dissipation devices (EDD) involves the determination of the required capacity of each damper installed at optimal locations. The fluid viscous damper (FVD) as a passive EDD is commonly used as energy sinks for seismic protection of structures. The present investigation is to deal with the earthquake responses of one- way one-storey asymmetric-plan system with the FVDs. By applying the linear quadratic regulator (LQR) control theory, the calculated control gain is converted to the equivalent fluid viscous damping using a minimum norm method (MNM). How the damping ratio, frequency ratio, aspect ratio, stiffness eccentricity of structures, and FVD equivalent damping ratio affect the optimal eccentric positions of the FVDs are investigated. The damping effects of three control strategies for asymmetric structures under El-Centro earthquake are elucidated. Numerical results demonstrate that the proposed is an alternative method of designing the FVDs for seismic protection of asymmetric structures.