Scientific paper ID 1350 : 2016/3
DYNAMIC BEHAVIOR OF AN ANGULAR RATE SENSOR MODEL
Svetoslav Nikolov, Nataliya Nedkova
In this paper we investigate the dynamical behavior of an angular rate sensor model when the unsymmetrical nonlinear restoring force is d. Our analytical calculations predict that angular velocity (directed along axis z) acts as a key parameter and the equilibrium states of the system can only lose their stability. This is confirmed by numerical simulations.
нелинейна динамика МЕМС жироскопи качествен и числен анализnonlinear dynamics MEMS gyroscopes qualitative and numerical analysisSvetoslav Nikolov Nataliya Nedkova
 Neimark, Yu., Landa, P., Stochastic and chaotic oscillations. Kluwer Acad. Publishers, 1992.
 Kuznetsov, Yu., Elements of applied bifurcation theory. 2 ed., Springer, New York, 1998.
 Barreira, L., Valls, C., Dynamical systems: An Introduction. Springer, London, 2013.
 Nikolov, S., Nedkova, N., Stability of nonlinear autonomous systems with two degrees of freedom. An analytical study, Scientific Proceedings, vol. 24, No 19 (205), pp. 23-26, 2016.
 Armenise, M., Ciminelli, C., Dell’Olio, F., Passaro, V., Advances in gyroscope technologies. Springer, Berlin, 2010.
 Apostolyuk, V., Cross-coupling compensation for Coriolis vibratory gyroscopes, Mechanics of Gyroscopic Systems. vol. 2011, No 23, pp. 5-13, 2011.
 Kirillov, O., Nonconservative stability problems of modern physics. Walter de Gruyter, Berlin, 2013.
 Bautin, N. Behavior of dynamical systems near boundary of stability. Moscow, Nauka, 1984 (in Russian).