Research output: Contribution to journal › Article › peer-review
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.Research output: Contribution to journal › Article › peer-review
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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