The influence of shape imperfections on the vibrations of a ring resonator of a wave solid-state gyroscope
2017, Vol. 13, No. 3, pp. 423-431
Author(s): Seregin S. V.
Author(s): Seregin S. V.
This paper investigates the dynamic characteristics of a simple estimation model of the imperfect
resonator of a wave solid-state gyroscope — a circumferential element under planar deformation
conditions with initial deviations from the perfect circular form. Particular examples are given to
show that the splitting of the bending frequency spectrum of geometrically imperfect rings may
arise in cases different from those presented in modern theory. A pattern was established in which
the splitting of the bending frequency spectrum of an imperfect ring arises. The unbalancing of
the frequency content occurs when the number of forming waves is equal to the number of waves
of imperfection of the ring’s shape and when the number of forming waves is twice, three, four
and more times larger than that of the waves of shape imperfection. If the number of waves of
ring shape imperfection is even, then the splitting of the bending frequency spectrum occurs even
in the case where the number of forming waves is half the number of waves of shape imperfection,
and also in cases where the number of forming waves is one and a half times, twice, two and
a half times, three and a half, and more times larger than that of waves of shape imperfection;
in the former case the unbalancing of the frequency content can be very significant.
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