The splitting features of a frequency spectrum of a gyroscope based on elastic waves in solids: An isolated imperfect ring as an example

Abstract

The calculation results on dynamic characteristics of a geometrically imperfect ring turning out of shape in its plane have been exemplified by a simpler computational model for a ring resonator of a gyroscope based on elastic waves in solids. The specific malconformations were shown to be responsible for a splitting of the bending frequency spectrum of such rings. In so doing the spectral mismatch may appear in cases different from the ideas of modern theory.

The splitting of the bending frequency spectrum was established to occur not only in the cases when the number of formative waves being equal to that of malconformation waves of the ring (as it is commonly believed at present) but also in the cases when the number of formative waves being two, three, four and so on times more than that of malconformation waves.