Incidence and reflection of Coriolis-dispersed harmonic waves at the boundary of an elastic half-space
DOI:
https://doi.org/10.17721/1812-5409.2024/1.17Keywords:
incidence and reflection of waves, Coriolis forces, Snell’s law, BAW gyroscopeAbstract
In the modern inertial sensors based on the bulk acoustic waves propagation, the change of the polarization vector through a certain finite length of the waveguide, is proposed to determine the angular velocity. It is caused by Coriolis dispersion due to the action of the inertial forces of rotational motion. Among the important issues of calculation of reflected and refracted waves in rotational motion, one can mention joined waveguides, reflection from a non-orthogonal boundary, etc. So, the problem of the incidence and reflection of Coriolis- dispersed harmonic waves on the surface of an elastic half-space at an arbitrary angle of propagation plays the key role. Research in this regard besides the study of the effect of Coriolis dispersion in reflected waves, includes also piezoelectric and thermal material properties of waveguides. In the mathematical modelling the authors of [6] consider the general solutions for mechanical and electrical quantities in the some way as in the non-rotating classical case of elastodynamics and thermoelectroelasticity.
In our opinion, the general solutions for incident and reflected waves should be built on the basis of fundamental solutions for quasi-longitudinal and quasi-transverse waves, propagating in the unbounded rotating medium. In the statement of the problem, it should be assumed in advance, that the incident and reflected waves are formed by two coupled components of displacements, that is, such waves have elliptical polarization.
Pages of the article in the issue: 86 - 90
Language of the article: Ukrainian
References
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Copyright (c) 2024 Igor Ulitko, Olexandr Boryseiko, Iryna Lebedeva, Olexandr Kurylko
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