基于游丝刚度量化的擒纵调速机构动力学分析

Dynamics Analysis of the Escapement Mechanism based on the Quantization of Hairspring Stiffness

擒纵调速机构是机械手表机心中最重要的组成部分,运动状态十分复杂,但钟表业界对其研究较少。鉴于此,建立了擒纵调速机构的动力学有限元模型,并基于该机构中关键弹性元件游丝的实际微观晶粒结构,对其弹性性能进行了量化计算。该模型预测了擒纵调速机构的零部件在工作过程中的应力状态,与ROLLAND模拟结果保持一致;同时,还预测了摆轮摆幅对瞬时日差的影响并与试验数据进行了对比,在一定程度上具有良好的精度,模拟结果符合埃利定理。该模型为进一步优化国产机械机心结构提供了有效的数据支持。

The escapement mechanism is the most important element of a mechanical watch movement with a complicated motion,though little is known about it. A dynamics Finite Element model of escapement mechanism is established,and based on the real micrograin structure of the key elastic element in the mecha nism, the elastic properties of the hairspring are quantitatively calculated. The model is able to predicts the stress state of the parts of escapement speed regulating mechanism during the working process, which is con sistent with ROLLAND simulation results. At the same time, the influence of the pendulum oscillation ampli tude on the instantaneous daily rate is predicted and compared with the experimental data, it has good preci sion to some extent, the simulation results are in line with Airy Theorem. This model could be used to provide useful support in order to optimize the structure of the domestic mechanical watch movement in the future.