Analytical treatment of the transient motion of inertial beams attached to coupling inertial resonators (2021)
Journal Article
Nieves, M., & Carta, G. (2021). Analytical treatment of the transient motion of inertial beams attached to coupling inertial resonators. Journal of Engineering Mathematics, 127, Article 20. https://doi.org/10.1007/s10665-021-10110-w

This paper presents, for the first time, an analytical formulation to determine the transient response of an elastic beam possessing distributed inertia and connected to a coupling inertial resonator, represented by a gyroscopic spinner. The latter c... Read More about Analytical treatment of the transient motion of inertial beams attached to coupling inertial resonators.

Directional Control of Rayleigh Wave Propagation in an Elastic Lattice by Gyroscopic Effects (2021)
Journal Article
Nieves, M., Carta, G., Pagneux, V., & Brun, M. (2021). Directional Control of Rayleigh Wave Propagation in an Elastic Lattice by Gyroscopic Effects. Frontiers in Materials, https://doi.org/10.3389/fmats.2020.602960

<jats:p>We discuss the propagation of Rayleigh waves at the boundary of a semi-infinite elastic lattice connected to a system of gyroscopic spinners. We present the derivation of the analytical solution of the equations governing the system when the... Read More about Directional Control of Rayleigh Wave Propagation in an Elastic Lattice by Gyroscopic Effects.

Rayleigh waves in micro-structured elastic systems: Non-reciprocity and energy symmetry breaking (2020)
Journal Article
Nieves, M., Carta, G., Pagneux, V., & Brun, M. (2020). Rayleigh waves in micro-structured elastic systems: Non-reciprocity and energy symmetry breaking. International Journal of Engineering Science, https://doi.org/10.1016/j.ijengsci.2020.103365

Rayleigh waves are analysed in elastic lattices incorporating inertial devices that couple in-plane displacements. The vector problems of elasticity for a triangular lattice and its long-wavelength/low-frequency continuum approximation are considered... Read More about Rayleigh waves in micro-structured elastic systems: Non-reciprocity and energy symmetry breaking.

Vibrations and elastic waves in chiral multi-structures (2018)
Journal Article
Nieves, M., Carta, G., Jones, I., Movchan, A., & Movchan, N. (2018). Vibrations and elastic waves in chiral multi-structures. Journal of the Mechanics and Physics of Solids, 387-408. https://doi.org/10.1016/j.jmps.2018.07.020

We develop a new asymptotic model of the dynamic interaction between an elastic structure and a system of gyroscopic spinners that make the overall multi-structure chiral. An important result is the derivation and analysis of effective chiral boundar... Read More about Vibrations and elastic waves in chiral multi-structures.

Interfacial waveforms in chiral lattices with gyroscopic spinners (2018)
Journal Article
Garau, M., Carta, G., Nieves, M., Jones, I., Movchan, N., & Movchan, A. (2018). Interfacial waveforms in chiral lattices with gyroscopic spinners. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 474(2215), https://doi.org/10.1098/rspa.2018.0132

We demonstrate a new method of achieving topologically protected states in an elastic hexagonal system of trusses by attaching gyroscopic spinners, which bring chirality to the system. Dispersive features of this medium are investigated in detail, an... Read More about Interfacial waveforms in chiral lattices with gyroscopic spinners.

Elastic Chiral Waveguides with Gyro-Hinges (2018)
Journal Article
Carta, G., Nieves, M. J., Jones, I. S., Movchan, N. V., & Movchan, A. B. (2018). Elastic Chiral Waveguides with Gyro-Hinges. Quarterly Journal of Mechanics and Applied Mathematics, 157 - 185. https://doi.org/10.1093/qjmam/hby001

This article presents a novel chiral structure, consisting of Euler–Bernoulli beams connected to gyroscopic spinners. A new type of boundary condition is introduced, which is referred to as a gyro-hinge. In this system, flexural waves are coupled wit... Read More about Elastic Chiral Waveguides with Gyro-Hinges.