Optimal Control Design for Dynamic Load Effect Reduction at Building Structure

Abstract

Basically, building structure is as a direct bearing system design and multi degree of freedom model. In case of the implementation of earthquake proof building structure can be also described by shearing strength building with attenuation which equivalent by mathematical model from mechanical system structure in order of each floor. In this system the force always going well or proportional with in the amount of the velocity and have opposite movement direction. In that design structure, absolutely not only consider static load but also dynamic load caused by seismic effect or earthquake. Model of the load can assume as an acceleration time function which work at the building. Therefore, the building structure should be adaptive or responsive with the result that can change the vibration characteristic if dynamic load affective. However, the building structure not reached for ideal stability caused by dynamic load. The objective of this paper is to design the controller by application of optimal control LQR to reduce the load from structure outside, earthquake, specifically. The idea here is put the Active Tuned Mass Damper (ATMD) as an actuator at the top of the building by giving additional mass which composed of a spring and attenuator. The working force in additional mass resemble of control force which received from mass removal in ATMD system. Afterwards the control force be oscillation and opposite movement with the earthquake sources direction until the earthquake forces be reduce continually hence obtain the stability of the system. The effectiveness of this method will be confirmed by numerical simulations.