Publikacje

Abstract:

It is shown how small variations in the conditions for the propagation of waveguide acoustic modes in anisotropic plates lead to a topological transformation of the entire net of acoustic dispersion curves. When both the sagittal plane and midplane of a plate are simultaneously planes of symmetry, the acoustic dispersion curves of the plate form four independent sets with many intersection points. If the symmetry is violated as a result of perturbations, the intersection points disappear and the curves are “repulsed”; thus, the eigenmode spectrum of the plate radically changes its topology. Versions of such changes are revealed. The polarization of waves in the repulsion zones sharply changes at small segments of the corresponding dispersion branches. The field structure of the wave is analyzed for the case where the perturbation is elastic anisotropy or a piezoelectric effect. The features of transformations of the acoustic spectrum of anisotropic plates in all purely elastic and piezoelectric symmetry classes are analyzed.

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Topological transformations in the acoustic spectrum of anisotropic plate under asymmetric perturbations