An inverse approach to the characterisation of material parameters of piezoelectric discs with triple-ring-electrodes
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Nadine Feldmann, M. Sc. is a research associate at the measurement engineering group at the faculty of electrical engineering, computer science and mathematics at Paderborn University. Her field of research includes inverse measurement procedures and the charcterisation of piezoelectric ceramics.
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Benjamin Jurgelucks, M. Sc. is a research associate at the Department of Mathematics and its Applications at Paderborn University. His research includes the simulation and optimization of piezoelectric problems, as well as solving inverse problems for parameter identification.
Leander Claes completed his studies in electrical engineering in 2014. Since 2015, he has been a research associate and, starting mid-2016, deputy head of the Measurement Engineering Group at Paderborn University, Germany. His current research focus is the acoustic characterization of fluids.
Veronika Schulze, M. Sc. is a research associate at the Department of Mathematics and its Applications at Paderborn University. Her research includes the simulation and theory of 3D partial differential equations describing piezoelectric behaviour.
Prof. Dr.-Ing. Bernd Henning is head of the Measurement Engineering Group, Faculty of Electrical Engineering, Computer Science and Mathematics at Paderborn University, Germany. His main areas of research are acoustic measurement procedures, ultrasonic and optical measurement engineering as well as biomedical measurement techniques.
Prof. Dr. Andrea Walther has been full professor at the faculty of electrical engineering, computer science and mathematics for Mathematics and its Applications at Paderborn University since 2009. Her main research interests are nonlinear optimization and scientific computing.
Abstract
For its usage in simulation-based design processes a precise knowledge of the employed material properties is inevitable. In the case of piezoelectric ceramics, the provided material parameters often suffer from large uncertainties and even inconsistencies since the standardised measurement procedure needs several specimens to determine a single set of material parameters. In contrast, the presented measurement set-up allows to calculate material parameters using one unique disc-shaped specimen with an optimised electrode topology. Using an inverse problem approach, fitting material parameters can be found using an optimisation procedure.
Zusammenfassung
Um bei simulationsgestützten Designprozessen verlässliche Ergebnisse zu erhalten, ist die genaue Kenntnis der Eigenschaften der verwendeten Materialien unerlässlich. Im Falle piezoelektrischer Keramiken sind die vom Hersteller zur Verfügung gestellten Angaben oft mit großen Unsicherheiten belegt oder sogar inkonsistent. Dies resultiert hauptsächlich aus der Tatsache, dass für das standardisierte Messverfahren für einen vollständigen Materialparametersatz Messungen an unterschiedlich prozessierten Probekörpern durchgeführt werden müssen. Das hier vorgestellte Verfahren nutzt im Gegensatz dazu nur eine einzelne Piezokeramik-Scheibe mit einer angepassten Elektrodentopologie. Mit Hilfe eines inversen Messverfahrens können so Materialparameter gefunden werden, die eine optimale Übereinstimmung zwischen Messung und Simulation ermöglichen.
Funding source: Deutsche Forschungsgemeinschaft
Award Identifier / Grant number: 321120716
Funding statement: The authors would like to thank the German Research Foundation (DFG) for financial support of the research project 321120716.
About the authors
Nadine Feldmann, M. Sc. is a research associate at the measurement engineering group at the faculty of electrical engineering, computer science and mathematics at Paderborn University. Her field of research includes inverse measurement procedures and the charcterisation of piezoelectric ceramics.
Benjamin Jurgelucks, M. Sc. is a research associate at the Department of Mathematics and its Applications at Paderborn University. His research includes the simulation and optimization of piezoelectric problems, as well as solving inverse problems for parameter identification.
Leander Claes completed his studies in electrical engineering in 2014. Since 2015, he has been a research associate and, starting mid-2016, deputy head of the Measurement Engineering Group at Paderborn University, Germany. His current research focus is the acoustic characterization of fluids.
Veronika Schulze, M. Sc. is a research associate at the Department of Mathematics and its Applications at Paderborn University. Her research includes the simulation and theory of 3D partial differential equations describing piezoelectric behaviour.
Prof. Dr.-Ing. Bernd Henning is head of the Measurement Engineering Group, Faculty of Electrical Engineering, Computer Science and Mathematics at Paderborn University, Germany. His main areas of research are acoustic measurement procedures, ultrasonic and optical measurement engineering as well as biomedical measurement techniques.
Prof. Dr. Andrea Walther has been full professor at the faculty of electrical engineering, computer science and mathematics for Mathematics and its Applications at Paderborn University since 2009. Her main research interests are nonlinear optimization and scientific computing.
Acknowledgment
The authors would like to thank Lars Meihost and Dmitrij Dreiling for their involvement in the measurement process and optimisation evaluation.
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© 2019 Walter de Gruyter GmbH, Berlin/Boston
Articles in the same Issue
- Frontmatter
- Editorial
- 4. Workshop „Messtechnische Anwendungen von Ultraschall“ 2018 im Kloster Drübeck
- Beiträge
- An inverse approach to the characterisation of material parameters of piezoelectric discs with triple-ring-electrodes
- Eindimensionaler phononischer Kristall zur Schallisolierung in Stäben
- Modeling of temperature dependency of structural waves in an ultrasonic flow measurement system
- Nichtinvasive Temperaturüberwachung in Gewebephantomen durch ortsaufgelöste Messung der Longitudinalwellengeschwindigkeit mittels Ultraschall-Annular-Arrays
- Ultraschallbasierte Messung der Strömungsgeschwindigkeit von Flüssigkeiten und Gasen für den Einsatz in Drainageleitungen in Tunneln
- Evaluierung der Sicherheit von Tiefbrunnen durch Ultraschallmessungen
Articles in the same Issue
- Frontmatter
- Editorial
- 4. Workshop „Messtechnische Anwendungen von Ultraschall“ 2018 im Kloster Drübeck
- Beiträge
- An inverse approach to the characterisation of material parameters of piezoelectric discs with triple-ring-electrodes
- Eindimensionaler phononischer Kristall zur Schallisolierung in Stäben
- Modeling of temperature dependency of structural waves in an ultrasonic flow measurement system
- Nichtinvasive Temperaturüberwachung in Gewebephantomen durch ortsaufgelöste Messung der Longitudinalwellengeschwindigkeit mittels Ultraschall-Annular-Arrays
- Ultraschallbasierte Messung der Strömungsgeschwindigkeit von Flüssigkeiten und Gasen für den Einsatz in Drainageleitungen in Tunneln
- Evaluierung der Sicherheit von Tiefbrunnen durch Ultraschallmessungen
