One of the ways would be to connected the tube with a peristaltic pump in a circulatory system with pipe. You can apply a pressure sensor to record the pressure vacation and a pressure valve ( can be modified as per requirement) to vary the pressure. I do something similar but the pressure variation is between 100-200 mm Hg with step of around 30-60 mm hg

I think that it is possible to simulate the internal pressure by the compression of well-known material inside the pipe/tubular specimen. Please, look it in the technical report: Compressed Elastomer Method for Internal Pressure Testing

by Robert Carter - http://www.dtic.mil/cgi-bin/GetTRDoc?AD=ADA457212.

Maybe, it will be a good inspiration for testing. 

With best regards,

Grzegorz

Two ideas: 

1) blow across the top of the tube and set up a resonance in the tube.  This may be too small in terms of pressure

2) Close the tube and place it inside another chamber and change the pressure of this chamber (water filled, oscillating water level, or pump)

Thank you everyone for your thoughtful suggestions. I will go through your methods this week. I appreciate your help. I will update you if I find anything interesting.

https://digitalcommons.usu.edu/cgi/viewcontent.cgi?article=1298&context=water_rep