Higher period = lower velocities, but for a longer duration.
Shorter period = faster velocities, but for a shorter duration. You also get more impulses during any given time.
The overall response you get is dependent on two relationships
1.) the ratio of the pipeline's natural frequency to the wave period, basically responsible for larger deflection amplitudes, as those forces are sustained for longer times, larger deflection movements can be produced, but at lower frequencies.
2.) the ratio of the pipeline's natural frequency to the vortex shedding frequency generated by the drag of the water flowing around the pipeline, but usually at higher frequencies and primarily responsible for higher vibration modes.
You want to try to keep the pipeline's natural resonance frequency outside the affecting range of both of those and perhaps some of the prime harmonics of those frequencies as well.
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