Publication: Optimization of triple-ring electrodes on piezoceramic transducers using algorithmic differentiation
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Optimization of triple-ring electrodes on piezoceramic transducers using algorithmic differentiation

- Article in a journal -
 

Author(s)
Benjamin Jurgelucks , Leander Claes , Andrea Walther , Bernd Henning

Published in
Special issue of Optimization Methods & Software: Advances in Algorithmic Differentiation Optimization Methods & Software

Editor(s)
Bruce Christianson, Shaun A. Forth, Andreas Griewank

Year
2018

Publisher
Taylor & Francis

Abstract
Data of material properties given by manufacturers of piezoelectric ceramics is often flawed due to, for example, slightly different manufacturing conditions for each production batch. Hence, the need for more reliable data arises. Recently published material parameter estimation methods are based on the solution of an inverse problem fitting impedance measurements of the piezoelectric ceramic to simulations by varying the material parameters in the simulation. However, the sensitivity of impedance with respect to some material parameters is close to zero and thus alternative measurement quantities which require expensive and error-prone measurement devices would be required. In order to assist in experiment design, the simulation software must be able to compute accurate sensitivity information. We applied the algorithmic differentiation (ad) package ADOL-C to the C++-based sophisticated simulation software CFS++ and thus are now able to compute the sensitivity of impedance with respect to material parameters without the use of finite differences. As these sensitivities depend on the geometry of the piezoelectric ceramic and the electrodes, we then use these sensitivities as a cost function for maximization. We compare the results of optimization with results of optimization previously obtained using a finite difference scheme. We document implementation issues and limits for integrating ADOL-C into CFS++. Nevertheless, we show the now much improved results of optimization using ad instead of finite differences and its potential for further optimization.

Cross-References
Christianson2018Sio

BibTeX
@ARTICLE{
         Jurgelucks2018Oot,
       crossref = "Christianson2018Sio",
       author = "Benjamin Jurgelucks and Leander Claes and Andrea Walther and Bernd Henning",
       title = "Optimization of triple-ring electrodes on piezoceramic transducers using algorithmic
         differentiation",
       journal = "Optimization Methods \& Software",
       volume = "33",
       number = "4--6",
       pages = "868--888",
       year = "2018",
       publisher = "Taylor \& Francis",
       doi = "10.1080/10556788.2018.1435652",
       url = "https://doi.org/10.1080/10556788.2018.1435652",
       eprint = "https://doi.org/10.1080/10556788.2018.1435652",
       abstract = "Data of material properties given by manufacturers of piezoelectric ceramics is
         often flawed due to, for example, slightly different manufacturing conditions for each production
         batch. Hence, the need for more reliable data arises. Recently published material parameter
         estimation methods are based on the solution of an inverse problem fitting impedance measurements of
         the piezoelectric ceramic to simulations by varying the material parameters in the simulation.
         However, the sensitivity of impedance with respect to some material parameters is close to zero and
         thus alternative measurement quantities which require expensive and error-prone measurement devices
         would be required. In order to assist in experiment design, the simulation software must be able to
         compute accurate sensitivity information. We applied the algorithmic differentiation (AD) package
         ADOL-C to the C++-based sophisticated simulation software CFS++ and thus are now able to compute the
         sensitivity of impedance with respect to material parameters without the use of finite differences.
         As these sensitivities depend on the geometry of the piezoelectric ceramic and the electrodes, we
         then use these sensitivities as a cost function for maximization. We compare the results of
         optimization with results of optimization previously obtained using a finite difference scheme. We
         document implementation issues and limits for integrating ADOL-C into CFS++. Nevertheless, we show
         the now much improved results of optimization using AD instead of finite differences and its
         potential for further optimization.",
       booktitle = "Special issue of Optimization Methods \& Software: Advances in
         Algorithmic Differentiation",
       editor = "Bruce Christianson and Shaun A. Forth and Andreas Griewank"
}


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