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6 May 1994 Distributed and discrete transducer spatial design for finite-element-modeled flexible structures
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Abstract
A modeling technique is presented for transducer spatial design applicable to discrete and distributed transducers with arbitrary one-dimensional shading (spatial gain weighting). The technique accommodates finite element models (FEM) composed of beamlike elements yielding modal displacements and rotations at element node locations. An example is presented: transducer spatial design for a 56-in. by 59-in. nine-bay aluminum grillage. Locations and distributions were chosen in order to shape the system's transducer-augmented forward loop transfer function, making the modal coefficients as large as possible within the eight-mode control bandwidth, and minimizing the coefficients associated with higher frequency modes of vibration. The transducer suite includes accelerometers and the piezoelectric polymer polyvinylidene-fluoride (PVDF) for sensors with lead- zircon-titanate piezoelectric ceramic and PVDF actuators. Modal coefficients employing the three aforementioned techniques are presented showing an average deviation in coefficient magnitude between different methods of calculation of 1.16% over the first 24 modes of vibration.
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John E. Meyer, Shawn Edward Burke, and James E. Hubbard Jr. "Distributed and discrete transducer spatial design for finite-element-modeled flexible structures", Proc. SPIE 2190, Smart Structures and Materials 1994: Smart Structures and Intelligent Systems, (6 May 1994); doi: 10.1117/12.175197; https://doi.org/10.1117/12.175197
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