التفاصيل البيبلوغرافية
| العنوان: |
Non-reciprocal wave propagation in time-modulated elastic lattices with inerters. |
| المؤلفون: |
Karličić, Danilo1 (AUTHOR) danilok@mi.sanu.ac.rs, Cajić, Milan1,2 (AUTHOR), Paunović, Stepa1 (AUTHOR), Obradović, Aleksandar3 (AUTHOR), Adhikari, Sondipon4 (AUTHOR), Christensen, Johan5 (AUTHOR) |
| المصدر: |
Applied Mathematical Modelling. May2023, Vol. 117, p316-335. 20p. |
| مصطلحات موضوعية: |
*ELASTIC wave propagation, *ACOUSTIC wave propagation, *FINITE difference method, *THEORY of wave motion, *AXIAL loads, *NOBLE gases, *HARMONIC functions, *BANACH lattices |
| مستخلص: |
• Uni-directional wave propagation is investigated in time-modulated lumped-mass-inerter lattices. • General model is provided for the time-modulated mass, stiffness and inerter properties of 1D lattices. • The procedure based on Bloch-Fourier expansions is suggested to determine the asymmetric band-gaps. • Elastically connected beam array system with time-varying axial load is investigated. • The introduction of time-modulated inerters results in shifting of the frequencies of asymmetric band-gaps to lower values. Non-reciprocal wave propagation in acoustic and elastic media has received much attention of researchers in recent years. This phenomenon can be achieved by breaking the reciprocity through space- and/or time-dependent constitutive material properties, which is an important step in overcoming the limitations of conventional acoustic- and phononic-like mechanical lattices. A special class of mechanical metamaterials with non-reciprocal wave transmission are latices with time-modulated mass and stiffness properties. Here, we investigate the non-reciprocity in elastic locally resonant and phononic-like one-dimensional lattices with inerter elements where mass and stiffness properties are simultaneously modulated through inerters and springs as harmonic functions of time. By considering the Bloch theorem and Fourier expansions, the frequency-band structures are determined for each configuration while asymmetric band gaps are found by using the weighting and threshold method. The reduction in frequency due to introduced inerters was observed in both phononic and locally resonant metamaterials. Dynamic analysis of finite-length lattices by the finite difference method revealed a uni-directional wave propagation. Special attention is given to phononic-like lattice based on a discrete-continuous system of multiple coupled beams. Moreover, the existence of edge modes in the discrete phononic lattice is confirmed through the bulk-edge correspondence and their time evolution quantified by the topologically invariant Chern number. The proposed methodology used to investigate non-reciprocal wave transmission in one-dimensional inerter-based lattices can be extended to study more complex two-dimensional lattices. [ABSTRACT FROM AUTHOR] |
| قاعدة البيانات: |
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