Finally the escapement assembly, the beating hear of a watch. It nevertheless involved a bit of assumption and calculation along the way. It was interesting in a way that it required different kind of calculation than that of gear profile. Gear calculation was more of 1 dimensional contact relationship whereas escapement assembly was 2 dimensional relationship. Not of literal dimension, but of movement. Instead of directional rotary motion, the pallet fork, one in the middle, oscillates within a set degree. This creates different relationship than that of gear to gear contact. So the each contact point needed to be calculated in different position.
The new finding during this modeling is that the pallet fork also works as a break between the tick. Meaning that the fork and the escapement wheel stops movement unill the balance wheel returns from its maximum displacement. Then the balance wheel returns to contact pallet fork freeing it from stopped position. This in turn allows pallet fork to absorb power from the escapement wheel and excerts force to balance wheel. This is the regulating mechanism that makes watch possible to keep constant time. Otherwise the movement of each parts won't match.
With this the first part of this project is finished, modeling of the watch.
In the near future, I will be continuing this project with Part 2: Create drawing of each parts, and Part 3: Model table top scale watch. For part 2, I will be applying GDnT hopefully so I have no idea how long it's going to take to study that. Fingers crossed.