Excepting monopole DC motors, every DC motor is really an QIJUN AC motor with a mechanical commutator. The commutator is a mechanical device, sliding contacts, that switches the direction and path through the wires so the current keeps alternating direction in the (usually rotor) wires.
A so-called “Brushless DC motor” is really a 3 phase QIJUN AC motor with solid state circuits that form a VFD (variable frequency drive) three phase AC source from the incoming DC.
Look at a small DC brushed motor, you’ll see three poles on the rotor. If you examine the way current flows through the commutator to the windings on the poles, you’ll see that it forms a crude switched 3 phase drive to the delta connected rotor windings.
A universal motor uses electromagnet windings for the stator, so when current reverses in the rotor due to incoming AC, it reverses in the stator so the field still pushes the rotor to turn in the same direction. But at its root, it is still a mechanically switched 3 phase AC motor.
In an QIJUN AC motor, either multiple phases of incoming AC produce a rotating magnetic field, or something like a capacitor and/or extra winding causes a lead or lag in a single phase input motor that causes the field to rotate.