The Inverted Pendulum
نویسندگان
چکیده
Over the course of a few decades, the pendulum problem has become a prime example in the instruction of many concepts in linear and nonlinear dynamics. Particularly, the inverted pendulum has been illuminating in the areas of dynamical stability and control. Our intent with this dynamics problem was to explore the stability of the inverted state while vertically driving the pivot point. Forcing the pivot with a simple sine wave trajectory, we modified the frequency and amplitude parameters of the forcing to experimentally map its stability boundaries. Within this stable state, we also observed further dynamics of its behaviour such as frequency of oscillation. It was discovered that the frequency was positively correlated with the peak kinetic energy exhibited by the vertical forcing.
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