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Nonlinear phenomena in the dynamics of micromechanical gyroscopes. / Lestev, M. A.; Tikhonov, A. A.

In: Vestnik St. Petersburg University: Mathematics, Vol. 42, No. 1, 01.03.2009, p. 53-57.

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Harvard

Lestev, MA & Tikhonov, AA 2009, 'Nonlinear phenomena in the dynamics of micromechanical gyroscopes', Vestnik St. Petersburg University: Mathematics, vol. 42, no. 1, pp. 53-57. https://doi.org/10.3103/S1063454109010087

APA

Lestev, M. A., & Tikhonov, A. A. (2009). Nonlinear phenomena in the dynamics of micromechanical gyroscopes. Vestnik St. Petersburg University: Mathematics, 42(1), 53-57. https://doi.org/10.3103/S1063454109010087

Vancouver

Lestev MA, Tikhonov AA. Nonlinear phenomena in the dynamics of micromechanical gyroscopes. Vestnik St. Petersburg University: Mathematics. 2009 Mar 1;42(1):53-57. https://doi.org/10.3103/S1063454109010087

Author

Lestev, M. A. ; Tikhonov, A. A. / Nonlinear phenomena in the dynamics of micromechanical gyroscopes. In: Vestnik St. Petersburg University: Mathematics. 2009 ; Vol. 42, No. 1. pp. 53-57.

BibTeX

@article{bb55b9a880a8495387725c44be265f37,
title = "Nonlinear phenomena in the dynamics of micromechanical gyroscopes",
abstract = "LL- and TT-type vibratory micromechanical gyroscopes (MMG) are considered with regard for nonlinear dependence of the suspension resistance forces and electrostatic forces on the displacement of the MMG sensitive elements. Nonlinear differential equations for a MMG operating in the measuring mode are obtained. These equations contain both analytical and nonanalytical nonlinearities. The effect of these nonlinearities on the dynamics and precision of vibratory MMGs is studied. The use of the method of averaging revealed stable steady-state modes of vibratory MMGs. The corresponding resonance curves are constructed. The results obtained may find application in the design of devices of the types considered.",
author = "Lestev, {M. A.} and Tikhonov, {A. A.}",
year = "2009",
month = mar,
day = "1",
doi = "10.3103/S1063454109010087",
language = "English",
volume = "42",
pages = "53--57",
journal = "Vestnik St. Petersburg University: Mathematics",
issn = "1063-4541",
publisher = "Pleiades Publishing",
number = "1",

}

RIS

TY - JOUR

T1 - Nonlinear phenomena in the dynamics of micromechanical gyroscopes

AU - Lestev, M. A.

AU - Tikhonov, A. A.

PY - 2009/3/1

Y1 - 2009/3/1

N2 - LL- and TT-type vibratory micromechanical gyroscopes (MMG) are considered with regard for nonlinear dependence of the suspension resistance forces and electrostatic forces on the displacement of the MMG sensitive elements. Nonlinear differential equations for a MMG operating in the measuring mode are obtained. These equations contain both analytical and nonanalytical nonlinearities. The effect of these nonlinearities on the dynamics and precision of vibratory MMGs is studied. The use of the method of averaging revealed stable steady-state modes of vibratory MMGs. The corresponding resonance curves are constructed. The results obtained may find application in the design of devices of the types considered.

AB - LL- and TT-type vibratory micromechanical gyroscopes (MMG) are considered with regard for nonlinear dependence of the suspension resistance forces and electrostatic forces on the displacement of the MMG sensitive elements. Nonlinear differential equations for a MMG operating in the measuring mode are obtained. These equations contain both analytical and nonanalytical nonlinearities. The effect of these nonlinearities on the dynamics and precision of vibratory MMGs is studied. The use of the method of averaging revealed stable steady-state modes of vibratory MMGs. The corresponding resonance curves are constructed. The results obtained may find application in the design of devices of the types considered.

UR - http://www.scopus.com/inward/record.url?scp=84859717848&partnerID=8YFLogxK

U2 - 10.3103/S1063454109010087

DO - 10.3103/S1063454109010087

M3 - Article

AN - SCOPUS:84859717848

VL - 42

SP - 53

EP - 57

JO - Vestnik St. Petersburg University: Mathematics

JF - Vestnik St. Petersburg University: Mathematics

SN - 1063-4541

IS - 1

ER -

ID: 29122053