Application of Homogenization Method in Free Vibration of Multi-Material Auxetic Metamaterials

Kadir Gunaydin, Orhan Gülcan, Aykut Tamer

Research output: Contribution to journalArticlepeer-review

Abstract

Different additive manufacturing modalities enable the production of multi-material components which can be used in a wide range of industrial applications. The prediction of the mechanical properties of these components via finite element modelling rather than through testing is critical in terms of cost and time. However, due to the higher computational time spent on the modelling of lattice structures, different methods have been investigated to accurately predict mechanical properties. For this purpose, this study proposes the use of a homogenization method in the two most common types of multi-material lattices: honeycomb and re-entrant auxetics. Modal analyses were performed, and the first six mode shapes were extracted from explicit and implicit models. The results were compared in terms of mode shapes and natural frequencies. The results showed that homogenization can be successfully applied to multi-material honeycomb and re-entrant auxetic lattices without compromising the accuracy. It was shown that the implicit models predict the natural frequencies with an error range of less than 6.5% when compared with the explicit models in all of the mode shapes for both honeycomb and re-entrant auxetic lattices. The Modal Assurance Criteria, which is an indication of the degree of similarity between the mode shapes of explicit and implicit models, was found to be higher than 0.996, indicating very high similarity.
Original languageEnglish
JournalVibration
Volume8
Issue number1
Early online date13 Jan 2025
DOIs
Publication statusPublished - 13 Jan 2025

Data Availability Statement

The raw data supporting the conclusions of this article will be made available by the authors on request.

Funding

This research received no external funding.

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