OPTIMAL ACTIVE CONTROL OF ASYMMETRIC PLAN BUILDINGS WITH TORSIONAL EFFECT

During the last three decades, significant researchesin active control field have been reported. However,in most studies, for implementation and evaluation of active control algorithms,the building has been considered as a two-dimensional shear frame.In reality, most of the buildings are three-dimensionand especially for asymmetrical planbuildings under earthquake; buildingʹs torsion will be induced to increasing the structural response. In this paper, aneight- story three-dimensional buildinghas been considered as astructural model and fully active tendon controller implemented in two directions of the building. In order to reduce the seismic responses of the structure, the LQR control algorithm is utilized. The building is modeled as a structure composed of flexural members that connected tothe rigid floor diaphragmswith three degrees of freedom at each floor, i.e., twolateral displacements and one rotation aboutthe vertical axis. The results show that by adding the tendons in both x and y directions,the lateral displacements andtherotational responsesaround the vertical axis will be reduced.