Transient Behavior in a Ferroresonant Circuit
J.G. Skalnik · Journal of Applied Physics · 1956
Several physical systems are described approximately by Duffing's equation d2φdt2+adφdt+bφ+cφ3=Fcosω1t,where a, b, and c are constants of the system and F and ω1 are constants of the applied forcing function. This is a second-order nonlinear differential equation whose complete exact solution is unknown. Approximate solutions for the steady-state behavior of the systems represented by the above equation are well known. The present work investigates the transient behavior in the region of the steady-state response. The theory developed is supported by solutions using an analog computer and by experiment with an actual electrical circuit whose behavior is approximated by the foregoing equation.