División de Ciencias Básicas e Ingeniería
URI permanente para esta comunidadhttps://hdl.handle.net/11191/1
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- Construcción y caracterización de un cristal artificial elástico(Universidad Autónoma Metropolitana (México). Unidad Azcapotzalco. Coordinación de Servicios de Información., 2021-03-08) Ramírez Ramírez, FilibertoIn order to achieve the main objective, a design of a supercell or basic cell consisting of an array of elastic units will be made. This supercell will be obtained from a locally periodic structure of coupled blocks, whose central block will be deformed; later, the one-dimensional elastic artificial crystal will be built, which will be characterized experimentally and understood from a strong mooring model. The locally proposed system consists of a set of vibrating bars, identical, coupled together, imitating a set of " defectsin a one-dimensional periodic network and with a periodic coupling. It is expected that the acoustic wave amplitudes of this system show similar characteristics to the wave functions of an electron strongly linked in an eective potential generated by a one-dimensional network of atoms. In the locally periodic system that we propose the vibrating elastic units will be coupled together by means of locally periodic rods; since, in these we can control the resonance frequencies and the same frequency of normal resonance. Furthermore, in these rods, the lower energy vibration modes can be isolated from the rest of the excited states. When the resonance frequency of the elastic unit (defect) is in the gap of the coupler (locally periodic rod) the wave amplitude will be located. To generate the emergence of a new band in the second torsion spectrum gap, from an originally periodic system, using the transfer matrix method for torsional waves, six elastic structures formed by 1, 2, 3 and up to 6 were designed. coupled supercell The neighboring levels of the emerging band is separated to a maximum distance of 100 Hz to facilitate its detection. This band is in the frequency range of 26450 to 26650 kHz.