In the present paper, a mathematical model suitable for capacitive accelerometer is developed by applying the fundamental principle of dynamics and validated by simulation and experiment test. This model aims to visualize the capacitance variation of the accelerometer as a function of relative movement frequency. The main motivation key role of this paper is to propose a capacitive accelerometer with improved parameters. Therefore, in capacitive detection, the damping rate choice is directly influenced by the variation in capacitance; for this purpose, a comparative study of three damping rates is carried out. The first accelerometer is used in practical tests, the second is presented and studied in recent literature, and the third is the accelerometer proposed in this work.
A new expression is extracted from the damping ratio as a function of measurement error to determine the damping rate according to a desired measurement error value. Finally, a new capacitive accelerometer with improved parameters having many advantages over the existing accelerometers is obtained. Simulation and experimental results have enabled us to recommend a new capacitive accelerometer design with very low measurement error (limited to 0.25%), high accuracy (equal to 99.75%), high sensitivity and reliability, and low electrical energy consumption.