دورية أكاديمية
Multi-objective optimal design of mechanical metafilters based on principal component analysis
| العنوان: | Multi-objective optimal design of mechanical metafilters based on principal component analysis |
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| المؤلفون: | Fantoni F., Bacigalupo A., Gnecco G., Gambarotta L. |
| المساهمون: | Fantoni, F., Bacigalupo, A., Gnecco, G., Gambarotta, L. |
| سنة النشر: | 2023 |
| المجموعة: | Archivio della ricerca della Scuola IMT Alti Studi Lucca |
| مصطلحات موضوعية: | Beam lattice metamaterial, Complex-valued frequency spectrum, Damped wave propagation, Dimensionality reduction, Gradient-based optimization |
| الوصف: | In this paper, an advanced computational method is proposed, whose aim is to obtain an approximately optimal design of a particular class of acoustic metamaterials, by means of a novel combination of multi-objective optimization and dimensionality reduction. Metamaterials are modeled as beam lattices with internal local resonators coupled with the microstructure through a viscoelastic phase. The dynamics is governed by a set of integro-differential equations, that are transformed into the Z-Laplace space in order to derive an eigenproblem whose solution provides the dispersion relation of the free in-plane propagating Bloch waves. A multi-objective optimization problem is stated, whose aim is to achieve the largest multiplicative trade-off between the bandwidth of the first stop band and the one of the successive pass band in the metamaterial frequency spectrum. Motivated by the multi-dimensionality of the design parameters space, the goal above is achieved by integrating numerical optimization with machine learning. Specifically, the problem is solved by combining a sequential linear programming algorithm with principal component analysis, exploited as a data dimensionality reduction technique and applied to a properly sampled field of gradient directions, with the aim to perform an optimized sensitivity analysis. This represents an original way of applying principal component analysis in connection with multi-objective optimization. Successful performances of the proposed optimization method and its computational savings are demonstrated. |
| نوع الوثيقة: | article in journal/newspaper |
| اللغة: | English |
| العلاقة: | volume:248; firstpage:108195; numberofpages:16; journal:INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES; https://hdl.handle.net/20.500.11771/23578Test; info:eu-repo/semantics/altIdentifier/scopus/2-s2.0-85148037028; https://www.sciencedirect.com/science/article/pii/S0020740323000978Test |
| DOI: | 10.1016/j.ijmecsci.2023.108195 |
| الإتاحة: | https://doi.org/20.500.11771/23578Test https://doi.org/10.1016/j.ijmecsci.2023.108195Test https://hdl.handle.net/20.500.11771/23578Test https://www.sciencedirect.com/science/article/pii/S0020740323000978Test |
| حقوق: | info:eu-repo/semantics/closedAccess |
| رقم الانضمام: | edsbas.2A81A395 |
| قاعدة البيانات: | BASE |
| DOI: | 10.1016/j.ijmecsci.2023.108195 |
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