There is a difficulty in using the sinusoidal cut on a cylinder:
Detailling it requires that you draw a graph so the part can be manufactured.
We have had parts manufactured from drawings where the model included a graph (also shown in the drawing) The graph is made to fit the cylinder using trajpar.
This modeling technique is in the PTC knowledge base, search under CAM. (the parts made like this worked well)
Select your coordinate system (make sure it points where you want it!)
Select Cartesian coordinates
Equation example:
x = 50 * cos ( t * 360 )
y = 50 * sin ( t * 360 )
z = 25 * sin (t *360 * 4)
Where the number 50 in the x and y equations represent the radius of the circle, 25 in the z equation represents the amplitude of the fluctuation and 4 represents the number of sine waves on the cylinder.