On the Design of Modal Actuators and Sensors
MI Friswell (University of Wales Swansea)
Journal of Sound and Vibration, Vol. 241, No. 3, March 2001, pp. 361-372
Modal actuators and sensors may be used to excite or measure either single modes or combinations of modes. In beam structures they may be implemented using either discrete transducers or continuous, distributed transducers. This paper determines the transducer gains to obtain given modal responses. For discrete transducers, when there are more transducers than modes of interest, this generally results an underdetermined problem. Side constraints, either by choosing a subset of transducers, or ensuring orthogonality to higher modes, make use of this redundancy. For distributed transducers this paper introduces the idea of approximating the width of the transducer using the underlying finite element model shape functions. The transducers may then be designed using a discrete model, and the shape recovered by using the shape functions. The side constraint of minimising the curvature of the transducer shape is introduced to ensure that the resulting shape is as simple as possible. A clamped-clamped beam example is used to demonstrate the effectiveness of the proposed methods, and also to demonstrate the errors introduced for non-proportionally damped structures.
This material has been published in the Journal of Sound and Vibration, Vol. 241, No. 3, March 2001, pp. 361-372, the only definitive repository of the content that has been certified and accepted after peer review. Copyright and all rights therein are retained by Academic Press. This material may not be copied or reposted without explicit permission.
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Link to paper using doi:10.1006/jsvi.2000.3300
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