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

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 reduced-order model pantographic structure. Experimental tests carried out by applying forced oscillation to 3D-printed specimens range frequencies. A second-gradient coarse-grained nonlinear utilized obtaining homogenized 2D description By inverse analysis and through an automatized optimization algorithm, identified corresponding comparing displacement plots, performance assessed dynamic regime. Qualitative quantitative analyses different frequency ranges performed. good agreement present far away from eigenfrequencies. The discrepancies near eigenfrequencies possible indication significance higher-order inertia model.