Authors: Karličić, Danilo 
Cajić, Milan 
Paunović, Stepa 
Adhikari, Sondipon
Affiliations: Mechanics 
Mathematical Institute of the Serbian Academy of Sciences and Arts 
Title: Uni-directional wave propagation in time-modulated inerter-based lattice
First page: 1184
Last page: 1185
Related Publication(s): Proceedings
Conference: ENOC2022 - 10th European Nonlinear Dynamics Conference, July 17-22, 2022, Lyon, France
Issue Date: 2022
Rank: M34
URL: https://enoc2020.sciencesconf.org/data/ENOC2022_proceedings.pdf
Abstract: 
In this work, we investigate the uni-directional wave propagation in elastic locally resonant mechanical metamaterials with inerter elements, where mass and stiffness properties are simultaneously modulated as periodic functions of time. Time-modulated properties of inerter elements are adopted in order to highlight the effect of time-dependent inertia amplification on mass properties. By considering the Bloch theorem and Fourier expansion, the system of Hill equations is reduced to the eigenvalue problem that gives dispersion relations with asymmetric frequency band structures.

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