DISTRIBUTED SENSOR ACTUATOR DESIGN FOR PLATES - SPATIAL SHAPE AND SHADING AS DESIGN PARAMETERS/

This paper will discuss two-dimensional distributed transducer shape a nd shading and their implications for the active control of plates. Tw o-dimensional transducer shaping is shown to be a useful design tool f or the control problem. In addition, transducer shaping can be combine d with gain-weighting to provide close approximation of continuously s haded transducer distributions. An optimization method is described wh ich can be used to fit the approximation to a continuous distribution. The analysis is applied to two examples of transducers used to contro l a rectangular, simply-supported plate. The first relies on shaping a lone and is shown to spatially filter out the even-even modes. The sec ond was developed using the optimization technique and is shown to pro vide ''all-mode'' controllability and observability. (C) 1997 Academic Press Limited.