An active vibration control method of bridge structures by the linearization of feedback gain matrix

Abstract

With the on-growing construction of transport and communication structures in rural and urban zones due to economic requirements, and with occurrence of seismic events in past years in particular in Cameroon, one of the purposes of the present work is to display the feasibility and advantages of applying active tendon control strategy to a bridge structure. The ‘Linearization of Feedback Gain Matrix’ (LFGM) method proposed by the author to achieve this objective is obtained by activating some useful components of the Riccati matrix while others are strongly attenuated according to the expected output-results and requirements of control mechanism. The present algorithm is helpful for any user to obtain full vibration suppression if the imposed linearization proportionality coefficients are constantly modified to optimal values. Comparing with traditional methods, the efficiency of the proposed linearization is more compatible to the control of civil structures and has many advantages according to simulation results obtained through sinusoidal and earthquake excitations.

Keywords: Vibration control, bridge, matrix linearization, construction, responses