Analytical Mathematical Model of Piezoelectric 6-D Accelerometer About Amplitude-Frequency Characteristics

To realize the structural design optimization of the 6-D accelerometer based on the amplitude-frequency characteristics (AFCs), it is necessary to research the analytical mathematical modeling of the piezoelectric 6-D accelerometer about the AFC. The structural characteristics of the accelerometer are analyzed, and the motion differential equations of the accelerometer are derived by establishing the spring-mass equivalent model. The mode of vibration superposition method solves the motion differential equations, and the analytical mathematical model of the AFC is derived by using the displacement solution. Using ANSYS software, nine groups of models were analyzed by numerical simulation. The accelerometer experimental prototype was manufactured, and the dynamic calibration experiment of the accelerometer was completed by the impulse response method. The experimental results show that the cosine similarity of the AFC curve of accelerometer obtained by the analytical mathematical model, simulation, and calibration is more than 0.9. The conclusions of the three methods are consistent, and the analytical modeling is effective. This study lays a theoretical foundation for the dynamic-coupling analysis of the piezoelectric 6-D accelerometer and further research on the optimization design based on the AFC.