15 July 2002 Computationally efficient piezostructure modeling for system optimization
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The optimization of actuator and sensor parameters in smart structures often requires extensive piezostructure modeling calculations. In order to facilitate these optimizations, a versatile and computationally efficient technique for the modeling of piezostructures into analytical systems has been developed. The method uses one apriori calculation of the coupling characteristics of gridded piezoelectric elements, contiguously covering the entire structure. This allows for the rapid calculation of the coupling characteristics of any patch configuration by summing the effects of the elements contained within the patch boundaries. Some of the advantages of this approach are the lack of error checking necessary with respect to trial patches being located within structural boundaries. Additionally, patch shape restrictions are not tied to difficulties associated with complicated integration limits, and reversed phasing of patch segments is a trivial matter. A technique is also developed to estimate the extent that patch mass and stiffness contributions will influence system response. This method is entirely parameter based and does not require explicit system modeling. It is illustrated how these techniques can dramatically expand the range, versatility, and efficiency of transducer optimization routines. Implementation examples are shown, along with comparisons with more conventional modeling approaches.
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Robert E. Richard, Robert E. Richard, Robert L. Clark, Robert L. Clark, } "Computationally efficient piezostructure modeling for system optimization", Proc. SPIE 4701, Smart Structures and Materials 2002: Smart Structures and Integrated Systems, (15 July 2002); doi: 10.1117/12.474675; https://doi.org/10.1117/12.474675

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