Abstract: For machining a concave-convex gear in which concave teeth of the concave-convex gear and convex teeth of a mating gear are formed in a circumferential direction, to allow torque transmission to or from the mating gear, in a trajectory extracting step a relative movement trajectory of each convex tooth of the mating gear with respect to the concave-convex gear at the time when torque is transmitted is first extracted as a machining target. Then, in a machining step, the concave teeth of the concave-convex gear are machined on a disc-shaped workpiece by moving at least one of the disc-shaped workpiece and a working tool such that a relative movement trajectory of the working tool with respect to the disc-shaped workpiece coincides with the relative movement trajectory of each convex tooth of the mating gear with respect to the concave-convex gear extracted in the trajectory extracting step.

Abstract: A relative movement trajectory of each convex tooth pin of a mating gear with respect to a concave-convex gear at the time when torque is transmitted between the mating gear and the concave-convex gear (nutation gear) may be expressed by a first linear axis, a second linear axis, a third linear axis, a fourth rotation axis, a fifth rotation axis and a sixth indexing axis. Then, a relative movement trajectory of each convex tooth pin of the mating gear, expressed by the first linear axis, the second linear axis, the third linear axis, the fifth rotation axis and the sixth indexing axis in the case where the fourth rotation axis is brought into coincidence with the sixth indexing axis, is calculated, and at least one of a disc-shaped workpiece and a working tool is moved on the basis of the calculated relative movement trajectory.

Abstract: A trajectory extracting step of extracting a relative movement trajectory of each convex tooth pin of a mating gear with respect to a concave-convex gear at the time when torque is transmitted between the mating gear (fixed shaft) and the concave-convex gear (nutation gear) and a machining step of, when the concave-convex gear is machined on a concave tooth forming face of a disc-shaped workpiece on which the concave teeth have not been machined, moving at least one of the disc-shaped workpiece and a working tool such that a relative movement trajectory of the working tool with respect to the disc-shaped workpiece coincides with the relative movement trajectory of each convex tooth pin with respect to the concave-convex gear, extracted in the trajectory extracting step, are included.

Abstract: A relative movement trajectory of each convex tooth pin of a mating gear with respect to a concave-convex gear at the time when torque is transmitted between the mating gear and the concave-convex gear (nutation gear) may be expressed by a first linear axis, a second linear axis, a third linear axis, a fourth rotation axis, a fifth rotation axis and a sixth indexing axis. Then, a relative movement trajectory of each convex tooth pin of the mating gear, expressed by the first linear axis, the second linear axis, the third linear axis, the fifth rotation axis and the sixth indexing axis in the case where the fourth rotation axis is brought into coincidence with the sixth indexing axis, is calculated, and at least one of a disc-shaped workpiece and a working tool is moved on the basis of the calculated relative movement trajectory.