Parameter identification of a second-gradient model for the description of pantographic structures in dynamic regime
| Autor: | Ivan Giorgio, Marco Laudato, Bilen Emek Abali, Navid Shekarchizadeh, Alberto Maria Bersani, Luca Manzari |
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| Rok vydání: | 2021 |
| Předmět: |
Work (thermodynamics)
Parameter identification General Mathematics media_common.quotation_subject Continuum mechanics Dynamic load Experimental test Finite element method (FEM) Pantographic structure General Physics and Astronomy Inertia Displacement (vector) Dynamic load testing Range (statistics) media_common Mathematics Applied Mechanics Teknisk mekanik Applied Mathematics Mathematical analysis Metamaterial Identification (information) parameter identification dynamic load pantographic structure finite element method (FEM) continuum mechanics experimental test |
| Zdroj: | Zeitschrift für angewandte Mathematik und Physik. 72 |
| ISSN: | 1420-9039 0044-2275 |
| DOI: | 10.1007/s00033-021-01620-9 |
| Popis: | 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. |
| Databáze: | OpenAIRE |
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