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APPLICABILITY OF SIMPLIFIED MODELS OF PIEZOELECTRIC ELEMENTS IN THE PROBLEM OF ACTIVE VIBRATION DAMPING

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The proposed approach to the problem of active vibration suppression of a distributed elastic ob-ject involves defining the transfer functions for each feedback loop of the control system being created. These functions are synthesized considering characteristics of the control object obtained either experi-mentally or numerically. An adequate model of the object is a key factor in the control system design since it allows one not only to obtain the object characteristics, but also to simulate the created system operation. The problem of active suppression of forced bending vibrations of a simply supported metal beam using piezoelectric sensors and actuators is analyzed. The objective of the study is to compare two different approaches to piezoelectric elements modeling during the process of creating the control sys-tem. The control laws synthesis is carried out using an optimization procedure, which allows selection of the optimal parameters of the filters that determine the transfer functions in the feedback loops of the created system. Results of the study demonstrate that application of a simplified model which does not accounts for the influence of the piezoelectric elements on the object vibrational modes, significantly re-duces the vibration suppression efficiency. However, for real objects this effect may be reduced by opti-mizing the gain values in the control loops of the obtained systems.

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