Active control of waves in a Timoshenko beam

Active control of (bending) waves in Timoshenko beams is modeled and tackled. A discussion about the possible wave solutions for harmonically excited Timoshenko beams and their control by either forces or moment pairs is presented. It is also shown that the adoption of an extra control load allows to a minimum force wave cancellation control strategy to be developed with important advantages, when compared to the strict wave cancellation approach. The approach described in this paper was employed in the analysis of infinite beams; however, it is directly applicable to the case of limited beams with the controller blocking the passage from a source region to a region that is to be shielded.

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