I too am very interested in this phenomena

 

Ever since I first read of Breguet's resonance watches in The Art Of Breguet by Daniels many years ago,
I've been fascinated by the phenomena of mechanical resonance in timepieces. There was a study done
a few years ago on replicating Huygens's clock resonance experiments, and though the title of the study
escapes me at the moment, they did find some mathematical interpretations and equations for showing
resonance. It was a fascinating study, I wish I knew the title, I'd implore you to take a look at it.

Of all the complications in horology, I find resonance the most interesting, and was planning myself to
construct a resonance watch, along the design of Breguet, where the entire escapement of one side
pivots around the 4th wheel arbor, much like a platform escapement pocket watch I've been restoring for
a few months now.

I am aware of the meanings of Q factor in oscillators, and the higher Q factor in quartz oscillators, but I
must admit, your knowledge and understanding of the math and graphing is far beyond mine. I was simply
going to use the same principles Breguet did, and tune 2 escapements very near perfect 18000 bph, matching
weights of components, and ignore the effects of air resistance, using the harmonic vibrations of the mainplates
themselves to set the works in resonance, adjusting balance distances with a micrometer screw on the movement,
and hope it works.

According to Breguet's experiments, Daniels noted air disturbance didn't send the balances into resonance, so
how is it that Journe's watch really works? I also never figured out how Journe's balance is adjustable, but the rest of
the escapement doesn't seem to move with it- how does the adjustment keep the impulse pin in line with the fork
slot? It seems it shouldn't work, but I must have missed something.

Good luck, I eagerly await seeing the results of your investigation.

-O

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