Vibrating structure gyroscope

A vibrating structure gyroscope, defined by the IEEE as a Coriolis vibratory gyroscope (CVG), is a gyroscope that uses a vibrating structure to determine the rate of rotation. A vibrating structure gyroscope functions much like the halteres of flies (insects in the order Diptera). The underlying physical principle is that a vibrating object tends to continue vibrating in the same plane even if its support rotates. The Coriolis effect causes the object to exert a force on its support, and by measuring this force the rate of rotation can be determined. Vibrating structure gyroscopes are simpler and cheaper than conventional rotating gyroscopes of similar accuracy. Inexpensive vibrating structure gyroscopes manufactured with MEMS technology are widely used in smartphones, gaming devices, cameras and many other applications. Consider two proof masses vibrating in plane (as in the MEMS gyro) at frequency ω r {displaystyle omega _{r}} . The Coriolis effect induces an acceleration on the proof masses equal to a c = 2 ( Ω × v ) {displaystyle a_{c}=2(Omega imes v)} , where v {displaystyle v} is a velocity and Ω {displaystyle Omega } is an angular rate of rotation. The in-plane velocity of the proof masses is given by X i p ω r cos ⁡ ( ω r t ) {displaystyle X_{ip}omega _{r}cos(omega _{r}t)} , if the in-plane position is given by X i p sin ⁡ ( ω r t ) {displaystyle X_{ip}sin(omega _{r}t)} . The out-of-plane motion y o p {displaystyle y_{op}} , induced by rotation, is given by: