Clamped Beam Parametric Amplifer

Parametric amplification of the transverse motion of a uniform, clamped beam with a center mass is investigated. The system inputs are a transverse harmonic motion and a compressive load (with harmonic and static components) applied at the beam supports. Secondary parametric amplification is considered by the application of end-loads at frequencies near the system characteristic frequency and transverse support motions at frequencies much lower than the characteristic frequency. An example of an inertial sensing element for a gravimeter is presented.