Research on inhibition of frequency split in paraboloid of revolution shaped resonator

Paraboloid of revolution shaped resonator(abbreviated as PRSR) as a new solid-state wave gyroscope resonator, is the core component of Bell-shaped vibratory angular rate gyro(abbreviated as BVG) which sensitizes angular movement through the Coriolis effect of standing wave in resonance state of axisymmetric shell. Structural characteristics of the resonator make itself have the feature of withstand high overload and high impact, which make it has broad application prospects in high dynamic low-precision angular rate measurement occasions. It is well known that when structural irregularities are present, destroying the symmetry of the structure and will lead to frequency split between drive mode and sense mode. This work puts forward a method of precise balance to reduce the frequency split to an acceptable level for drive and sensing modes by removing the resonator edge mass. Finite element simulation analysis and experimental tests proved that this method can effectively inhibit the natural frequency split of resonator, make the natural frequency split reduced to 0.2Hz or less.