Stability of an Inverted Pendulum Under Nonsinusoidal Forcing
نویسندگان
چکیده
We investigate the dynamics of an inverted pendulum subjected to Jacobi elliptic forcing both numerically and experimentally. In so doing, we hope to provide a coherent picture on stability of an inverted pendulum subjected to forcing that ranges from harmonic to nonharmonic in nature. We are able to determine the regions of stability of a sinusoidally forced inverted pendulum, with results similar to earlier literature. Most importantly, we have numerically and experimentally shown that varying the eccentricity in the Jacobi elliptical function does not significantly alter the region of stability of the inverted pendulum.
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