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The commutator is part of the armature on a DC motor and this assembly is the rotating element of a motor.
commutator, armature
The armature is the moving part of a motor or generator. Tthe shaft is the central rod on which the armature rotates. The commutator is the part that transfers the power too or from the moving windings in the armature to the static part of the motor or generator (either too or from the electricity supply).
It is based dynamometer principle with ironless motor with a wound armature having a commutator. The two coils are connected in series with supply and armature coil is connected in parallel to it.
commutator
commutator
Motor brushes ride one the commutator.
A motor will turn when only the armature is excited, if there is enough residual magnetism in the field.
Armature Commutator Brushes Axle Field Magnet DC power supply
The Armature(or rotor) is a electromagnet inside a motor and alters the magnetic field inside the motor when it rotates. In DC motors it is connected to a Commutator. In AC induction motors the armature isn't connected to a power source.
Armature Commutator Brushes Axle Field Magnet DC power supply