Abstract. The paper reports an analytical model of a 4-DOF gyroaccelerometer consisting of 2-DOF drive and 2-DOF sense oscillators configured orthogonally. A detection scheme for time varying angular rate and linear acceleration, by combining the structural-model of gyro-accelerometer with the processes of synchronous demodulation and filtration, which leads to the inphase and quadrature components of the system's output signal. These two components can be utilized in the detection of angular motion and linear acceleration. The in-phase signal can be used for angular rate detection and the quadrature signal can be utilized for linear acceleration. Finally, the results of the model have been validated by comparing with MATLAB ® /Simulink data which shows excellent matching with each other.
IntroductionIt is a well-known fact that all vibratory gyroscopes operate on the basis of transfer of energy from one mode to the other. The device may have either single DOF [1] or multi-DOF oscillators [2-5] which act as two orthogonally configured subsystems, a self-tuned oscillator forming the drive mode and a micro-g accelerometer, forming the sense mode. In the event of an angular rate, the transfer of energy from one mode to the other is detected and processed using suitable circuitry to produce the desired output. It is quite obvious that all vibratory gyroscopes can also sense linear acceleration in addition to angular rate sensing at their events of occurrence. Considering the strategy of simultaneous detection of linear acceleration and angular rate at their events, a controller circuit has been reported for a 2-DOF conventional gyroscope [6].