Distributed transducer design for plates: spatial shape and shading as design parameters

Jeanne M. Sullivan; James E. Hubbard Jr.; Shawn Edward Burke

doi:10.1117/12.174205

1 May 1994 Distributed transducer design for plates: spatial shape and shading as design parameters

Jeanne M. Sullivan, James E. Hubbard Jr., Shawn Edward Burke

Proceedings Volume 2192, Smart Structures and Materials 1994: Mathematics and Control in Smart Structures; (1994) https://doi.org/10.1117/12.174205
Event: 1994 North American Conference on Smart Structures and Materials, 1994, Orlando, FL, United States

Abstract

This paper discusses 2-D distributed transducer shape and shading and their implications for the active control of plates. Two-dimensional transducer shaping is shown to be a useful design tool for the control problem. In addition, transducer shaping can be combined with gain-weighting to provide close approximation of continuously shaded transducer distributions. An optimization method is described which can be used to fit the approximation to a continuous distribution. The analysis is applied to two examples of transducers used to control a rectangular, simply supported plate. The first relies on shaping alone and is shown to spatially filter out the even-even modes. The second was developed using the optimization technique and is shown to provide `all-mode' controllability and observability.

Citation Download Citation

Jeanne M. Sullivan, James E. Hubbard Jr., and Shawn Edward Burke "Distributed transducer design for plates: spatial shape and shading as design parameters", Proc. SPIE 2192, Smart Structures and Materials 1994: Mathematics and Control in Smart Structures, (1 May 1994); https://doi.org/10.1117/12.174205

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