A miniaturized two-DOF rotational gyro with a ball-joint supported permanent magnet rotor

Abstract

We proposed a miniaturized two-degrees of freedom (DOF) rotational gyro with a ball-joint supported permanent magnet rotor. The structural design and the dynamic model of the gyro are presented and analyzed in detail in this paper and testified by preliminary experiments. When the rotor tilts away from its null position, it will be constrained by a contactless magnetic equivalent elastic torque derived from the driving structure. As a rotational gyro, this structure is very simple and small, with a core size less than 6 cm3, and it needs only 0.75 W to keep the rotor spinning at a speed of 15 000 revolutions per minute (rpm) in a standard air pressure condition. Preliminary measurements show that, at 7000 rpm within a full scale of ±100 °/s, the gyro has a scale factor of 18.69 mV/(°/s), and a nonlinearity of 0.33% is also achieved through calculation. The results show that the gyro can be used to measure two DOFs' angular rates of carriers without close-loop control due to the existence of magnetic equivalent elasticity.

Optically levitated micro gyroscopes with an MHz rotational vaterite rotor

“…Therefore, the damping coefficients can be approximated as equal, represented as c x = c y = c . The gyroscopic dynamic equation of the particle is established as 30 – 32 where Hα’ and Hβ’ are gyroscopic (precession) torques, c x β’ and c y α’ are damping torques, k x β , and k y α are spring torques, and H Ω x is the equivalent gyroscopic torque resulting from the external input angular velocity. If the thermal fluctuation torque T th is ignored, the solution to an input angular velocity Ω x can be obtained (Supplementary Note 1 ).…”

“…For an ideal circularly polarized Gaussian beam, the spring torque stiffness coefficients along the x-and yaxes are equivalent, given as k x = k y = k. Additionally, the impact of sphericity errors in particles on their rotational damping is considered negligible. Therefore, the damping coefficients can be approximated as equal, represented as c x = c y = c. The gyroscopic dynamic equation of the particle is established as [30][31][32]…”

Energy Dissipation Contribution Modeling of Vibratory Behavior for Silicon Micromachined Gyroscope

“…is generally used as a measurement of this time constant of the vibration energy and is defined as ratio of the total strain energy to the dissipated energy per vibration cycle. Higher means larger time constant and lower vibration energy dissipation, for the MCVG, which means achievement of excellent bias stability [8][9][10][11][12].…”