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.…


| 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): |
