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Parameter identification of a second-gradient model for the description of pantographic structures in dynamic regime
Department of Basic and Applied Sciences for Engineering, Sapienza University of Rome, Rome, Italy.ORCID iD: 0000-0002-5750-7801
Department of Information Engineering, Computer Science and Mathematics, L’Aquila University, L’Aquila, Italy.ORCID iD: 0000-0003-2153-9630
KTH, School of Electrical Engineering and Computer Science (EECS), Centres, Centre for High Performance Computing, PDC. Marcus Wallenberg Laboratory for Sound and Vibration Research.ORCID iD: 0000-0003-2498-2558
Division of Applied Mechanics, Department of Materials Science and Engineering, Uppsala University, Uppsala, Sweden.ORCID iD: 0000-0002-8735-6071
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2021 (English)In: Zeitschrift für Angewandte Mathematik und Physik, ISSN 0044-2275, E-ISSN 1420-9039, Vol. 72, no 6, article id 190Article in journal (Refereed) Published
Abstract [en]

Pantographic structures are examples of metamaterials with such a microstructure that higher-gradient terms’ role is increased in the mechanical response. In this work, we aim for validating parameters of a reduced-order model for a pantographic structure. Experimental tests are carried out by applying forced oscillation to 3D-printed specimens for a range of frequencies. A second-gradient coarse-grained nonlinear model is utilized for obtaining a homogenized 2D description of the pantographic structure. By inverse analysis and through an automatized optimization algorithm, the parameters of the model are identified for the corresponding pantographic structure. By comparing the displacement plots, the performance of the model and the identified parameters are assessed for dynamic regime. Qualitative and quantitative analyses for different frequency ranges are performed. A good agreement is present far away from the eigenfrequencies. The discrepancies near the eigenfrequencies are a possible indication of the significance of higher-order inertia in the model. 

Place, publisher, year, edition, pages
Springer Nature , 2021. Vol. 72, no 6, article id 190
National Category
Mechanical Engineering
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URN: urn:nbn:se:kth:diva-358093DOI: 10.1007/s00033-021-01620-9ISI: 000705855500001Scopus ID: 2-s2.0-85116606263OAI: oai:DiVA.org:kth-358093DiVA, id: diva2:1924512
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QC 20250109

Available from: 2025-01-06 Created: 2025-01-06 Last updated: 2025-01-09Bibliographically approved

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Manzari, Luca

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Shekarchizadeh, NavidLaudato, MarcoManzari, LucaAbali, Bilen EmekGiorgio, IvanBersani, Alberto Maria
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Zeitschrift für Angewandte Mathematik und Physik
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