Abstract:
The possibility of constructing a multifunctional inertial
navigation device based on a hybrid-type modulation micromechanical gyroscope
is considered. A mathematical model of the device ("heavy" gyroscope) as a
high-quality three-dimensional oscillatory system is constructed. It is numerically
shown that, under certain conditions, the reaction of the system to the motion
of an object has, along with precession, the observed nutation, which carries
information about the linear motion of the gyroscope base. It is noted that the
possibility of measuring linear accelerations is ensured by the presence of a small
symmetrical distance between the axes of the elastic suspension relative to the
center of mass of the sensing element.
The results obtained make it possible to implement a two-component angular
velocity meter and a two-component linear acceleration meter in one device.
Key words and phrases:mathematical model, vibration, micromechanical system.