Sensitivity Analysis of Piezoelectric Material Parameters Using Sobol Indices

  • The applicability of the method of Sobol to the non-smooth, resonant behavior of a vibrational eigen-mode of a piezoelectric element is examined. The goal is to quantify the sensitivity of the system upon variation of the piezoelectric material parameters. The randomly distributed piezoelectric material pa-rameters needed for this statistical approach are taken from a Latin hypercube sampling (LHS). For each such sampling point a frequency-domain study is performed, from which the resonance frequency of the considered eigenmode is extracted. The Sobol indices are computed from the statistical distribution of these resonance positions. A hybrid computational approach by means of the MATLAB® LiveLink™ feature is chosen. The LHS process, the COMSOL® model creation, the extraction of the resonance frequencies, and the calculation of the Sobol indices is performed in MATLAB®. COMSOL® is used for the computation of the electrical impedance of the considered block-shaped piezoceramic test spec-imen. To this end, a frequency-domain study isThe applicability of the method of Sobol to the non-smooth, resonant behavior of a vibrational eigen-mode of a piezoelectric element is examined. The goal is to quantify the sensitivity of the system upon variation of the piezoelectric material parameters. The randomly distributed piezoelectric material pa-rameters needed for this statistical approach are taken from a Latin hypercube sampling (LHS). For each such sampling point a frequency-domain study is performed, from which the resonance frequency of the considered eigenmode is extracted. The Sobol indices are computed from the statistical distribution of these resonance positions. A hybrid computational approach by means of the MATLAB® LiveLink™ feature is chosen. The LHS process, the COMSOL® model creation, the extraction of the resonance frequencies, and the calculation of the Sobol indices is performed in MATLAB®. COMSOL® is used for the computation of the electrical impedance of the considered block-shaped piezoceramic test spec-imen. To this end, a frequency-domain study is set up, combined with a parametric sweep with the LHS parameter combinations as input. A batch sweep is employed to speed up the computation by parallel model execution.show moreshow less

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Metadaten
Author:Franziska Anderl, Michael MayleORCiD
URL / DOI:https://www.comsol.com/paper/sensitivity-analysis-of-piezoelectric-material-parameters-using-sobol-indices-134452
Document Type:conference proceeding (article)
Language:English
Date of first Publication:2024/10/22
Release Date:2025/02/18
Tag:Sensitivity Analysis, Sobol, Piezoelectricity, MATLAB LiveLink
Konferenzangabe:COMSOL Conference, 2024, Florence
institutes:Fakultät Angewandte Mathematik, Physik und Allgemeinwissenschaften
Research Themes:Digitalisierung & Künstliche Intelligenz
Licence (German):Keine Lizenz - Deutsches Urheberrecht gilt
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