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Communication Dans Un Congrès Année : 2022

On the effects of different types of nonlinearities in fast/slow dynamics of a meta-cell

Résumé

Metamaterials are systems designed to exhibit some properties which can not be found in nature [1]. One special type of metamaterials is the mass-in-mass system, which can present interesting properties such as equivalent negative mass and stiffness. The studied system, a mass-in-mass unit cell, possesses a nonlinear restoring forcing term, F(α), which depends on the relative displacement of the two masses m1 and m2 . In this work, several types of nonlinearities (unique and compound), presenting smooth or nonsmooth restoring forcing functions, are considered. System variables are complexified [2] and the resulting dynamics is treated via a time multiple scale method. It will be shown that systems with compound nonlinearity may present some characteristics which differ from systems with classical non-linearities. Moreover, the frequency responses of the system can present isola, which should be taken into account carefully for control aspects.
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Dates et versions

hal-04233829 , version 1 (09-10-2023)

Identifiants

  • HAL Id : hal-04233829 , version 1

Citer

Camila da Silveira Zanin, Alireza Ture Savadkoohi, Sébastien Baguet, Régis Dufour. On the effects of different types of nonlinearities in fast/slow dynamics of a meta-cell. WCCM-XV 15th World Congress on Computational Mechanics, Jul 2022, Yokohama, Japan. ⟨hal-04233829⟩
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