Non-reciprocity in time-periodic phononic materials with a non-zero moving velocity

M. A. Attarzadeh; M. Nouh

doi:10.1117/12.2514341

1 April 2019 Non-reciprocity in time-periodic phononic materials with a non-zero moving velocity

M. A. Attarzadeh, M. Nouh

Proceedings Volume 10972, Health Monitoring of Structural and Biological Systems XIII; 109720G (2019) https://doi.org/10.1117/12.2514341
Event: SPIE Smart Structures + Nondestructive Evaluation, 2019, Denver, Colorado, United States

Abstract

Non-reciprocal wave propagation in elastic structures has received considerable attention lately. A common mechanism to break elastic wave reciprocity is the use of phononic materials with traveling-wave-like properties. Among the popular methods to study wave dispersion in periodic media are the plane wave expansion and transfer matrix method (TMM). However, owing to the time-variant nature of such non-reciprocal systems, the implementation of both methods requires the truncation of harmonic terms. In this work, we adopt the TMM to extract the dispersion patterns of a moving phononic material with a prescribed velocity. In the presence of a temporal modulation of material properties in one direction accompanied by physical motion in an opposing direction, both effects cancel out and the problem becomes effectively time-invariant. This facilitates the analysis and yields interesting results. Subsequently, we exploit the well-established relationship between the momentumenergy spaces of moving and stationary elastic media to reconstruct exact dispersion diagrams of a stationary space-time-periodic system. The proposed approach provides a platform to incorporate the TMM in the analysis of non-reciprocal time-variant materials. Finally, given the lack of harmonic truncation, the accuracy of the new method does not diminish as the modulating speed increases.

Conference Presentation

Citation Download Citation

M. A. Attarzadeh and M. Nouh "Non-reciprocity in time-periodic phononic materials with a non-zero moving velocity", Proc. SPIE 10972, Health Monitoring of Structural and Biological Systems XIII, 109720G (1 April 2019); https://doi.org/10.1117/12.2514341

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