ABSTRACT
This chapter carries out a theoretical study on optimal placement of control devices (dampers and actuators) for a smart seismic structure system. Section 7.1 reviews the study background and numerically demonstrates the significance of optimal device placement for smart seismic structures. Section 7.2 presents three methods based on controllability and performance indices for optimal actuator placement. Numerical simulations of structural seismic response to various earthquake records are carried out to evaluate these methods. Section 7.3 develops a statistical method for optimal placement of hybrid control devices. A stochastic theory is established first for seismic response of controlled structures that have first-order dynamics and nonorthogonal damping and stiffness. Then a statistical criterion is developed based on this theory for optimal placement of a viscous fluid damper, a servovalve controlled hydraulic actuator, and their combination (i.e., a hybrid device) on a seismic-resistant structure. Ageneral optimization problem for optimal device placement is formulated, and a solution procedure is established. Numerical analysis of the seismic response of a hybrid-controlled smart structure is used to verify the proposed method for optimal device placement and to demonstrate the effectiveness of a control system with optimal location.
