All Outputs (3)

On meso-scale approximations for vibrations of membranes with lower-dimensional clusters of inertial inclusions (2021)
Journal Article
Maz′ya, V., Movchan, A., & Nieves, M. (2021). On meso-scale approximations for vibrations of membranes with lower-dimensional clusters of inertial inclusions. St. Petersburg Mathematical Journal, 32(3), 551 - 564. https://doi.org/10.1090/spmj/1661

Formal asymptotic algorithms are considered for a class of meso-scale approximations for problems of vibration of elastic membranes that contain clusters of small inertial inclusions distributed along contours of predefined smooth shapes. Effective t... Read More about On meso-scale approximations for vibrations of membranes with lower-dimensional clusters of inertial inclusions.

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. (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

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 lattice... Read More about Directional Control of Rayleigh Wave Propagation in an Elastic Lattice by Gyroscopic Effects.