A Tale of Non-Linear Inductance and Electrical Oscillations
Introduction
After spending an inordinate amount of time in contemplation and experimentation, I am now unsure if this circuit arrangement actually exhibited the 2nd harmonicfull cycle for parametric change, however, each transition would be the equivalent of a half cycle for a common sinusoid. Curiously, a total of four transition cycles, 2x "hi-low" and 2x "low-hi", are seen in this circuit, but this is totally different from a 2xf step or sinusoidal variation which is assumed or explicitly implied in most explanations on the subject.
*Update
I've done some graphing and further examination of this experiment, and have come to the conclusion that another mode of natural excitation exists, in which the parameter is changed at the same frequency as the electrical oscillation! This mode hasn't been described by any text I have found regarding the subject (but may have slipped passed my notice), therefore, I believe this is "new territory" for parametric systems. Which now provides a new mode of operation for which we can build with. This 1P:1E mode of excitation exhibits almost all the qualities of the "2nd harmonic" 2P:1E mode generally described by the usual references. There isn't too much that needs explanation from me, other than this has been experimentally verified on the bench.
Analysis of Collected DataHalf
Introduction
After spending an inordinate amount of time in contemplation and experimentation, I am now unsure if this circuit arrangement actually exhibited the 2nd harmonicfull cycle for parametric change, however, each transition would be the equivalent of a half cycle for a common sinusoid. Curiously, a total of four transition cycles, 2x "hi-low" and 2x "low-hi", are seen in this circuit, but this is totally different from a 2xf step or sinusoidal variation which is assumed or explicitly implied in most explanations on the subject.
*Update
I've done some graphing and further examination of this experiment, and have come to the conclusion that another mode of natural excitation exists, in which the parameter is changed at the same frequency as the electrical oscillation! This mode hasn't been described by any text I have found regarding the subject (but may have slipped passed my notice), therefore, I believe this is "new territory" for parametric systems. Which now provides a new mode of operation for which we can build with. This 1P:1E mode of excitation exhibits almost all the qualities of the "2nd harmonic" 2P:1E mode generally described by the usual references. There isn't too much that needs explanation from me, other than this has been experimentally verified on the bench.
Analysis of Collected DataHalf














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