  Precession is one of the important mechanisms of gravitational wave
generation in astrophysics. In general, free precession of a rigid body can be
caused by the rotation of a triaxial body. In the case of symmetric body, if
only the principal axis does not coincide with the axis of rotation, then there
is the precession. When a symmetric body rotates around one of its principal
axes, the body cannot move with precession. However, when there is a
perturbation in angular velocity of the symmetric body spinning around the
principal axis of the largest moment, the body can have a precession motion. In
this paper, the wave forms and their characteristics of gravitational waves by
the perturbation of a rotating axisymmetric rigid body are studied.
