Natural Frequency of Elastic Pipe with Different Pressures

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SUMMARY

The discussion focuses on the relationship between internal pressure in a flexible silicone tube and its natural frequency during modal testing. A 3mm diameter tube with a 0.5mm wall thickness is analyzed, revealing that increased water pressure enhances the tube's rigidity, thereby increasing its elastic modulus and bending stiffness. This change in physical properties directly correlates with an increase in the natural frequency of the tube. The effects of varying water pressure on these properties are critical for accurate modal testing outcomes.

PREREQUISITES
  • Understanding of modal testing techniques (shaker and impact testing)
  • Knowledge of elastic modulus and bending stiffness
  • Familiarity with the physical properties of silicone and water
  • Basic principles of frequency analysis in mechanical systems
NEXT STEPS
  • Research the effects of internal pressure on the elastic modulus of materials
  • Explore modal testing methodologies for flexible structures
  • Investigate the relationship between pressure and natural frequency in fluid-filled tubes
  • Learn about the impact of material properties on dynamic response in engineering applications
USEFUL FOR

Mechanical engineers, materials scientists, and researchers involved in the study of flexible structures and their dynamic behavior under varying pressure conditions.

Nefertiti
Hi,

I have a 3mm diameter flexible silicone tube with wall diameter of 0.5mm. If this tube is filled with water at different pressures, how does the internal pressure present itself during modal testing (either shaker or impact testing). The tube lies on rigid table so it is completely supported from one side. I'm especially interested if there is relationship with natural frequency and the internal pressure.
 
Engineering news on Phys.org
Think it through . What physical properties of the tube and water combination determine what the natural frequencies are going to be ?

How does changing the water pressure change these properties ? What is the effect of any changes of properties on the natural frequencies ?
 
Last edited:
Hi,

Thanks Nidum. Correct if I’m wrong but essentially the water pressure makes the tube more rigid, i.e. change its elastic modulus (bending stiffness). This should affect the natural frequency so that increased pressure leads to increase in natural frequency.
 

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