Active vibration suppression of a smart beam via a controller designed by using linear quadratic regulator method

Abstract eng:
In this study, an active vibration suppression of a smart beam having piezoelectric patches which are used both as a sensor and an actuator is investigated by using linear quadratic regulator method. From the experimentally obtained frequency response function, the analytical models of the smart beam around its first resonance frequency region is determined. The free and the forced vibration suppression performances of the designed controllers are then tested and compared in the Simulink environment. Following this, experiments are also conducted for verification purposes. Considering both time and frequency domain, the experimental results are observed to be in good agreement with the results that are obtained from the simulations. The research study finally shows that the sufficient vibration suppression levels are reached in the smart beam structure regarding its first resonance frequency region via the controller designed by using linear quadratic regulator method. 1  Introductıon Strength, lightness and flexibility are important criteria for the aerospace structures and achieving these can bring undesirable vibrations. Excessive vibrations of the aerospace structure decreases expected life of the structure, causes noise, decreases efficiency and because of all these undesirable vibration based effects lead environmental pollution and affect the health of passengers and crew in a negative way etc. (Aridogan 2010). There are two main vibration suppression methods as active and passive but for the low frequency and high amplitude vibration suppression applications, the passive suppression method is considered to be an ineffective method (Aridogan 2010). For active vibration applications, there are many smart structures to use and piezoelectric materials are one of them. Piezoelectric materials provide cost-effective solutions and because of that usage of the piezoelectric materials are increasing in the field of vibration suppression. Deformation of the piezoelectric material causes an electrical charge. Reversely, application of an electric field causes deformation of the piezoelectric material. Because of this two-way electromechanical energy transfer capability, they can be used both as an actuator and a sensor. In the Department of the Aerospace Engineering at Middle East Technical University, theoretical and experimental studies were conducted previously (Sahin et  al. 2008). These studies include analyses such as obtaining structural modal characteristics and suppressing vibrations of a smart beam. It is observed that the PZT (Lead Zirconate Titanate)

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