Enhanced Smoothing

Hi all! 

Does anyone know how to enhance smoothing when using the Smooth-Step Amplitude option in ABAQUS? Originally, I used this method to plot 10 revolution of a sinusoidal displacement B.C. and the "smoothness" of the amplitude is acceptable (Fig.1), however when I tried to plot for 40 revolutions, the quality of the amplitude plot seems to degrade significantly (Fig.2). 

NOTE, that both curves look OK in the amplitude plotter tool, however the problem seen in the images come AFTER the simulation has run I plot the displacements using the Field Output tool.

Does anyone have tips for improving smoothness? Cheer!