Computational Technology Resources - CCC

I. Martínez-Terés^1,2, K.V. Bhat², P. Pflueger Tejero^1,2, J. Garcia-Martinez^1,2 and F.J. Montáns²

¹Structures and Mechanisms Area, Instituto Nacional de Técnica Aeroespacial, Torrejon de Ardoz (Madrid), Spain
²Escuela Técnica Superior de Ingeniería Aeronáutica y del Espacio, Universidad Politécnica de Madrid, Spain

doi:10.4203/ccc.14.2.2

I. Martínez-Terés, K.V. Bhat, P. Pflueger Tejero, J. Garcia-Martinez, F.J. Montáns, "FE Numerical Errors in Lattice Metastructure Dynamics: Insights from Two Distinct Cases", in P. Iványi, J. Kruis, B.H.V. Topping, (Editors), "Proceedings of the Sixteenth International Conference on Computational Structures Technology", Civil-Comp Press, Edinburgh, UK, Online volume: CCC 14, Paper 2.2, 2026, doi:10.4203/ccc.14.2.2

Keywords: additive manufacturing, metamaterial, dispersion diagrams, band gaps, dynamic response, finite element analysis.

Abstract

The influence of numerical errors associated with finite element modelling on the dynamic response of lattice-based mechanical metamaterials (MMM) is studied in this work. Dispersion diagrams for mechanical characterization were introduced some decades ago, but it is only in recent years that they constitute an established approach for the characterization of the dynamic mechanical behaviour of lattice-based structures. The recent development of MMM is accelerated by advances in additive manufacturing. However, the manufacturing process inevitably introduces dimensional deviations between the nominal design geometry and the as-built structure. Such geometric discrepancies can be interpreted, from a modelling perspective, as perturbations in nodal positions within the finite element discretization. Therefore, the present study is directly concerned with quantifying how these geometry-induced numerical deviations affect the resulting dispersion diagrams depending on the location of the error. In this context, the effect of small deviations of the spatial positioning of the nodes in the dispersion diagrams is analysed. The influence of two distinct cases that lead to significantly different outcomes is presented in this work: nodes subjected to Floquet–Bloch boundary conditions, and nodes located within the interior of the lattice that are not affected by the imposed boundary conditions

download the full-text of this paper (PDF, 1565 Kb)

go to the previous paper
go to the next paper
return to the table of contents
return to the volume description

	Computational & Technology Resources an online resource for computational, engineering & technology publications
	not logged in - login
Front Page Browse CCC CCP CSETS CTR IJRT Other Authors Search Purchase Guide FAQ Contact us	Civil-Comp Conferences ISSN 2753-3239 CCC: 14 PROCEEDINGS OF THE SIXTEENTH INTERNATIONAL CONFERENCE ON COMPUTATIONAL STRUCTURES TECHNOLOGY Edited by: P. Iványi, J. Kruis and B.H.V. Topping Paper 2.2 FE Numerical Errors in Lattice Metastructure Dynamics: Insights from Two Distinct Cases I. Martínez-Terés^1,2, K.V. Bhat², P. Pflueger Tejero^1,2, J. Garcia-Martinez^1,2 and F.J. Montáns² ¹Structures and Mechanisms Area, Instituto Nacional de Técnica Aeroespacial, Torrejon de Ardoz (Madrid), Spain ²Escuela Técnica Superior de Ingeniería Aeronáutica y del Espacio, Universidad Politécnica de Madrid, Spain doi:10.4203/ccc.14.2.2 Full Bibliographic Reference for this paper I. Martínez-Terés, K.V. Bhat, P. Pflueger Tejero, J. Garcia-Martinez, F.J. Montáns, "FE Numerical Errors in Lattice Metastructure Dynamics: Insights from Two Distinct Cases", in P. Iványi, J. Kruis, B.H.V. Topping, (Editors), "Proceedings of the Sixteenth International Conference on Computational Structures Technology", Civil-Comp Press, Edinburgh, UK, Online volume: CCC 14, Paper 2.2, 2026, doi:10.4203/ccc.14.2.2 Keywords: additive manufacturing, metamaterial, dispersion diagrams, band gaps, dynamic response, finite element analysis. Abstract The influence of numerical errors associated with finite element modelling on the dynamic response of lattice-based mechanical metamaterials (MMM) is studied in this work. Dispersion diagrams for mechanical characterization were introduced some decades ago, but it is only in recent years that they constitute an established approach for the characterization of the dynamic mechanical behaviour of lattice-based structures. The recent development of MMM is accelerated by advances in additive manufacturing. However, the manufacturing process inevitably introduces dimensional deviations between the nominal design geometry and the as-built structure. Such geometric discrepancies can be interpreted, from a modelling perspective, as perturbations in nodal positions within the finite element discretization. Therefore, the present study is directly concerned with quantifying how these geometry-induced numerical deviations affect the resulting dispersion diagrams depending on the location of the error. In this context, the effect of small deviations of the spatial positioning of the nodes in the dispersion diagrams is analysed. The influence of two distinct cases that lead to significantly different outcomes is presented in this work: nodes subjected to Floquet–Bloch boundary conditions, and nodes located within the interior of the lattice that are not affected by the imposed boundary conditions download the full-text of this paper (PDF, 1565 Kb) go to the previous paper go to the next paper return to the table of contents return to the volume description
Back to top	©Civil-Comp Limited 2023 - terms & conditions