Mechanical Analysis of Vibrating-Beam Resonantor Accelerometer
Based on the change of the length for the vibrating-beam, the potential energy stored in the system and the force function are presented. Then the sensor parameters and nonlinear factor are defined and calculated. From this, the mechanical parameters of the vibrating beam can be modeled, and the formulae of the frequency is derived as the function of the external axial acceleration and amplitude, and the mode of a single-degree elastic oscillator is set up. These results are the theoretical bases of developing the vibrating-beam-type accelerometer.
Y. B. Jia "Mechanical Analysis of Vibrating-Beam Resonantor Accelerometer", Advanced Materials Research, Vol. 645, pp. 373-376, 2013