Combining Structural Optimization and Structural Control

摘要

The optimal design of structures subjected to seismic excitations and equipped with active control systems including active tendons, active mass damper and a combination of the two is presented. Optimal and non-optimal control algorithms are employed for implementation of the structural control. The structural optimization is formulated in terms of construction materials or structural weight with various constraints of displacements and control forces. A control energy performance index is also minimized to find optimal weighting matrices that yield the least optimal control forces satisfying the constraints. A critical-mode control algorithm is derived based on the instantaneous closed-loop technique. The spillover effect is studied theoretically and numerically. The algorithm is then used to establish optimal locations for a limited number of active tendon controllers. Three approaches of using the modal shapes, the performance index of control energy, and the performance index of response are studied for determining the optimal locations.