Eventos Anais de eventos
COBEM 2021
26th International Congress of Mechanical Engineering
Dispersion Analysis of Strongly Nonlinear Magnetoelastic Periodic Structures Using HBM-AFT Method
Submission Author:
Matheus Basílio Rodrigues Fernandes , SP
Co-Authors:
Matheus Basílio Rodrigues Fernandes, Thiago de Paula Sales, Domingos Rade
Presenter: Matheus Basílio Rodrigues Fernandes
doi://10.26678/ABCM.COBEM2021.COB2021-1038
Abstract
This paper addresses wave propagation in one-dimensional magnetoelastic periodic chains, which are known to exhibit strongly nonlinear dynamical behavior. A modification of the standard harmonic balance method adapted to wave propagation problems is proposed to deal with complicated nonlinear forces in a computationally efficient way. In this approach, known in the literature as the Alternating Frequency-Time scheme, the inverse and direct discrete Fourier transforms are used to effectively evaluate the residual of the harmonic balance equation. Different arrangements of permanent magnets are explored to produce unit cells with various dynamic behaviors, with both softening and hardening interaction forces. The study reveals amplitude-dependent dispersion relations, which makes it possible to design structures with tunable filtering properties.
Keywords
Nonlinear periodic structures, amplitude-dependent dispersion, wave propagation, Harmonic balance method, alternating frequency-time scheme
