The Van der Pol Spatial Oscillator. Technical Applications in Modern Gyroscopy
2023 30th Saint Petersburg International Conference on Integrated Navigation Systems (ICINS)(2023)
摘要
The modified Van der Pol equations describing self-oscillations in a quasi-linear one-dimensional oscillator are generalized to the case when the generating oscillator has an arbitrary number of degrees of freedom. One-dimensional, two-dimensional (flat), and three-dimensional (spatial) cases are considered specifically. In contrast to the classical problem, in which a given oscillation amplitude has stabilized, in general, it is possible to stabilize not only the oscillation energy, but also the area of a flat elliptical trajectory, its orientation in space, the frequency of the oscillatory process, precession, etc. The types of oscillator are studied: classical, with one degree of freedom, performing rectilinear oscillations, two-dimensional, performing plane oscillations, and three-dimensional (spatial). The purpose of the work is to study the possibilities of creating spatial wave solid-state gyros (WSG) of integrating type.
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关键词
classical Foucault pendulum,"generalized" Foucault pendulum,hemispherical quartz resonator (2-D hemispherical resonator gyroscope, HRG),spherical quartz resonator (3-D spherical resonator gyroscope SRG),inertial sensors theory
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