Simultaneous sensing and actuation using piezoelectric materials

Mathematics – Dynamical Systems

Scientific paper

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Active Control, Actuators, Elastic Properties, Piezoelectric Transducers, Strain Gages, Strain Rate, Cantilever Beams, Dynamical Systems, Feedback Control, Mathematical Models, Rayleigh-Ritz Method

Scientific paper

The possibility of using a single piezoelectric element simultaneously as both a structural actuator and collocated sensor is investigated. The coupled actuator and sensor equations for an arbitrary elastic structure with piezoelectric elements are developed using an assumed modes energy method. Examination of these equations suggests a simple implementation of collocated strain or strain rate sensing using a voltage driven piezoelectric element. The properties of such a collocated strain or strain rate sensor are presented. The general equations are applied to the case of a cantilevered beam with surface mounted piezoceramics. The theoretical derivations are validated experimentally on an actively controlled cantilevered beam test article with a single piezoelectric element used for collocated strain rate feedback.

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