Nelineinaya Dinamika [Russian Journal of Nonlinear Dynamics]
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Nelin. Dinam., 2017, Volume 13, Number 3, Pages 423–431 (Mi nd575)  

This article is cited in 5 scientific papers (total in 5 papers)

Original papers

The influence of shape imperfections on the vibrations of a ring resonator of a wave solid-state gyroscope

S. V. Seregin

Komsomolsk-na-Amure State Technical University, prosp. Lenina 27, Komsomolsk-on-Amur, 681013, Russia

Abstract: 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 rings 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.

Keywords: ring, wave solid-state gyroscope, resonator, initial imperfections, vibrations, fission, frequency spectrum, resonance

DOI: https://doi.org/10.20537/nd1703009

Full text: PDF file (361 kB)
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UDC: 539.3:534.1
MSC: 74H45
Received: 03.05.2017
Accepted:30.08.2017

Citation: S. V. Seregin, “The influence of shape imperfections on the vibrations of a ring resonator of a wave solid-state gyroscope”, Nelin. Dinam., 13:3 (2017), 423–431

Citation in format AMSBIB
\Bibitem{Ser17}
\by S.~V.~Seregin
\paper The influence of shape imperfections on the vibrations of a ring resonator of a wave solid-state gyroscope
\jour Nelin. Dinam.
\yr 2017
\vol 13
\issue 3
\pages 423--431
\mathnet{http://mi.mathnet.ru/nd575}
\crossref{https://doi.org/10.20537/nd1703009}
\elib{https://elibrary.ru/item.asp?id=29993270}


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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. G. A. Trutnev, “Model konstruktsionnogo dempfirovaniya tverdotelnogo volnovogo giroskopa”, Vestn. Udmurtsk. un-ta. Matem. Mekh. Kompyut. nauki, 29:1 (2019), 84–91  mathnet  crossref  elib
    2. S. V. Seregin, “Oscillations of circular cylindrical shells with imperfections of shape”, International Conference on Mechanical Engineering, Automation and Control Systems 2018, IOP Conference Series-Materials Science and Engineering, 560, eds. A. Zykova, N. Martyushev, IOP Publishing Ltd, 2019, 012152  crossref  isi  scopus
    3. V S. Nesterov , V. G. Baydulov, “Class of auto-oscillating systems”, Mech. Sol., 55:8 (2020), 1157–1161  crossref  zmath  isi  scopus
    4. V S. Seregin, “On splitting of bending frequency spectrum of geometrically imperfect shells”, Proceedings of the 5Th International Conference on Industrial Engineering, Icie 2019, Vol i, Lecture Notes in Mechanical Engineering, eds. A. Radionov, O. Kravchenko, V. Guzeev, Y. Rozhdestvenskiy, Springer, 2020, 717–723  crossref  isi  scopus
    5. V S. Seregin, “How asymmetric initial imperfections in shape affect free oscillations of thin shells”, Proceedings of the 5Th International Conference on Industrial Engineering, Icie 2019, Vol i, Lecture Notes in Mechanical Engineering, eds. A. Radionov, O. Kravchenko, V. Guzeev, Y. Rozhdestvenskiy, Springer, 2020, 931–940  crossref  mathscinet  isi  scopus
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