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Introduction to the problem of the isochronous hairspring

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2 Author(s)
Goudsmit, S. ; Department of Physics, University of Michigan, Ann Arbor, MI, USA ; Wang, M.-c.

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Deviations from isochronism for the system of hairspring and balance wheel are treated by a method due to Haag. The results are given a geometrical interpretation. It is shown that the deviations are related to the displacement of the end point of the hairspring in a set‐up in which this end point is free to move keeping its tangent constant in direction. Such an arrangement can be realized with Bouasse's pendulum. For the so‐called ``helical'' spring a more accurate solution than Phillips' has been found for the shape of the terminals. Extensive numerical calculations have been made for flat spiral springs, and a new simple terminal has been designed.

Published in:

Journal of Applied Physics  (Volume:11 ,  Issue: 12 )

Date of Publication:

Dec 1940

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