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21 August 2001 Spatial aperture shading applied to distributed systems for uniform damping control
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This paper introduces a model for a vibration control system in which spatially etched Polyvinylidene Fluoride (PVDF) was utilized to implement uniform damping control on a distributed system. Uniform damping node control (UDNC) theory states that near optimal vibration control can be achieved when the following criteria are met: all modes are damped at the same exponential decay rate, the open loop and closed loop natural frequencies of the structure are identical, and the closed loop modal shapes are identical to the open loop modal shapes. To help accomplish this, in a system with N modes participating in a response, sensor/actuator pairs are placed at the nodes of the N+1 mode. Spatially shaded PVDF actuators are distributed actuators that produce pseudo discrete forces due to the special weighting applied to the etched electrodes. The system was implemented using a spring steel cantilevered beam and spatially etched PVDF actuators which were placed according to nodal control theory (NCT). When given the set of gains that are attributed to UDNC, the modes de-couple, reducing spillover. This experiment marks the first time that distributed control techniques such as uniform damping control were realized in a discrete fashion by utilizing spatially shaded piezoelectric actuators.
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Bruce Isler and Gregory N. Washington "Spatial aperture shading applied to distributed systems for uniform damping control", Proc. SPIE 4326, Smart Structures and Materials 2001: Modeling, Signal Processing, and Control in Smart Structures, (21 August 2001);

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