Analog Behavioral Model of Underdamped Free Oscillation of Cantilever Beams

A physical model representing an underdamped free oscillation of a cantilever beam is constructed. The model is incorporated into a pSPICE Analog Behavioral Model (ABM) in order to construct a circuit schematic that generates a model-based waveform representing that of the experiment. A strain gage is employed to sense the change in strain in the oscillating cantilever beam. The frequency and damping ratio of oscillation of the cantilever are determined by means of curve fitting. Experiment and pSPICE ABM results show an excellent agreement.