ひげぜんまいの重心移動の理論と実際 : 内端カーブの効果の最適化(研究) A new understanding of Phillips condition and the practice of adjustment of inner terminal curve of hairspring
The movement of point of gravity of hairspring is so known as the one as far as of it's central area which will cause the vertical positional error at the amplitude 220° in vertical positions, has been once resolved with the famous condition known as the Phillips condition written in 1860 by Edouard Phillips. But it's mathematical formula has not been translated into a helpful form for the actual practice of adjustment of internal curve shape, and has not contributed for the improvement of actual adjustment of vertical positional errors. Then, as the consequence, we have not yet been informed any new researches about this area in these 150 years. Thus the actual method of adjustment of shape of internal curve of hairspring has been long lead with arbitrary ways, almost no method. In this report here is presented the new understanding and the adaptation of the theory above for Archimedes curves used in modem watches. Furthermore here are shown very precise results of adjustment of internal curve of hairspring by following the method in this report. The maximum positional error at 220° amplitude reached to 1.3s/day in case of gentle wrist watches tried here.
マイクロメカトロニクス 54(202), 1-10, 2010