22 July 2003 Modal actuators and sensors for beam and plate structures
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Abstract
Modal actuators and sensors may be used to excite or measure either single modes or combinations of modes. In beam structures they may be implemented using either discrete transducers or continuous, distributed transducers. Continuous transducers require less processing and thus can employ simple controllers. For beam structures the width of the transducer may be approximated using the underlying finite element model shape functions. The transducers may then be designed using a discrete model, and the shape recovered by using the shape functions. The side constraint of minimizing the curvature of the transducer shape is introduced to ensure that the resulting shape is as simple as possible. Assuming that the thickness of the transducer may be varied (for example using printing techniques) then this procedure may be extended to plate structures. The alternative is to determine the shape of a constant thickness modal transducer. One approach outlined in this paper is to use a fine finite element mesh and determine which elements should be covered with a transducer. The possibility of using a continuous shape definition will also be explored. The approaches are tested on various beam and plate structures to demonstrate their effectiveness and also to demonstrate the errors introduced for non-proportionally damped structures.
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Michael I. Friswell, "Modal actuators and sensors for beam and plate structures", Proc. SPIE 5050, Smart Structures and Materials 2003: Smart Sensor Technology and Measurement Systems, (22 July 2003); doi: 10.1117/12.484250; https://doi.org/10.1117/12.484250
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