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Flexural vibration systems with gyroscopic spinners. (2019)
Journal Article
Nieves. (2019). Flexural vibration systems with gyroscopic spinners. Philosophical Transactions A: Mathematical, Physical and Engineering Sciences, 20190154 - ?. https://doi.org/10.1098/rsta.2019.0154

In this paper, we study the spectral properties of a finite system of flexural elements connected by gyroscopic spinners. We determine how the eigenfrequencies and eigenmodes of the system depend on the gyricity of the spinners. In addition, we prese... Read More about Flexural vibration systems with gyroscopic spinners..

Transient response of a gyro-elastic structured medium: Unidirectional waveforms and cloaking (2019)
Journal Article
Nieves. (2019). Transient response of a gyro-elastic structured medium: Unidirectional waveforms and cloaking. International Journal of Engineering Science, 115 - 141. https://doi.org/10.1016/j.ijengsci.2019.05.007

The transient analysis of gyro-elastic structured media, composed of periodically placed masses interconnected by elastic rods and attached to gyroscopic spinners, is presented. The analysis is based on an asymptotic transient model, developed in thi... Read More about Transient response of a gyro-elastic structured medium: Unidirectional waveforms and cloaking.

Dynamic characterization of a periodic microstructured flexural system with rotational inertia. (2019)
Journal Article
Nieves. (2019). Dynamic characterization of a periodic microstructured flexural system with rotational inertia. Philosophical Transactions A: Mathematical, Physical and Engineering Sciences, 20190113 - ?. https://doi.org/10.1098/rsta.2019.0113

We consider the propagation of waves in a flexural medium composed of massless beams joining a periodic array of elements, elastically supported and possessing mass and rotational inertia. The dispersion properties of the system are determined and th... Read More about Dynamic characterization of a periodic microstructured flexural system with rotational inertia..

Alternating Strain Regimes for Failure Propagation in Flexural Systems (2019)
Journal Article
Nieves. (2019). Alternating Strain Regimes for Failure Propagation in Flexural Systems. Quarterly Journal of Mechanics and Applied Mathematics, 305 - 339. https://doi.org/10.1093/qjmam/hbz008

We consider both analytical and numerical studies of a steady-state fracture process inside a discrete mass-beam structure, composed of periodically placed masses connected by Euler–Bernoulli beams. A fault inside the structure is assumed to propagat... Read More about Alternating Strain Regimes for Failure Propagation in Flexural Systems.