The ideal capacitive accelerometer damping rate choice to minimize the measurement error

For its remarkable features, accelerometers are widely used in a wide range of fields yet accelerometers vary in terms of accuracy which significantly impacts the accelerometers measurements errors. To this end, in this paper, the previously achieved results of the damping rate are compared with the proposed one that aims at reducing the measurement error. Firstly, the different types of accelerometers and their definitions are introduced. Secondly, the electromechanical-based mathematical model of accelerometer is derived. Thirdly, a comparative study is conducted for the sake of comparing the already obtained results regarding damping rate and the proposed damping rate value in this current work. Then, the accelerometers stabilization when subjected to a harmonic vibration is evaluated in order to identify its performance. Finally, simulation examples through MATLAB are carried out. In the first simulation, the measurement errors of accelerometers in function of frequency ratio are graphically presented through the implementation of two existing damping ratios and the obtained damping ratio in this research. Additionally, the variation capacitance through the utilization of two damping ratios and the proposed ratio. Based on the carried out simulations, the maximum measurement errors has decreased to 0.06 % when using the proposed damping ratio in this research, which itself proves the accuracy of the developed mathematical model.