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.

Parameter identification of a second-gradient model for the description of pantographic structures in dynamic regime / Shekarchizadeh, Navid; Laudato, Marco; Manzari, Luca; Abali, Bilen Emek; Giorgio, Ivan; Bersani, Alberto Maria. - In: ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK. - ISSN 0044-2275. - 72:6(2021). [10.1007/s00033-021-01620-9]

Parameter identification of a second-gradient model for the description of pantographic structures in dynamic regime

Shekarchizadeh, Navid
Primo
;
Giorgio, Ivan;Bersani, Alberto Maria
2021

Abstract

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.
parameter identification; dynamic load; pantographic structure; finite element method (FEM); continuum mechanics; experimental test
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Parameter identification of a second-gradient model for the description of pantographic structures in dynamic regime / Shekarchizadeh, Navid; Laudato, Marco; Manzari, Luca; Abali, Bilen Emek; Giorgio, Ivan; Bersani, Alberto Maria. - In: ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK. - ISSN 0044-2275. - 72:6(2021). [10.1007/s00033-021-01620-9]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/1578775
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