Thin walled polymer balloon deflection

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SUMMARY

The discussion centers on the challenges of calculating deflection in thin-walled polymer balloons, specifically those designed to function like cantilevers. Tom seeks assistance in understanding the relationship between hoop and axial stresses, the elastic modulus of the material, and the equations governing simple beam deflection. A key insight provided is that balloons behave as membranes rather than beams, complicating the calculations due to their thin structure. The suggestion to explore research on automobile airbags offers a potential avenue for further understanding the mechanics involved.

PREREQUISITES
  • Understanding of membrane theory in structural mechanics
  • Familiarity with hoop and axial stress concepts
  • Knowledge of elastic modulus and material properties
  • Basic principles of beam deflection equations
NEXT STEPS
  • Research membrane theory and its applications in inflatable structures
  • Study the mechanics of balloon materials and their stress responses
  • Explore the physics of automobile airbags and their design principles
  • Learn about advanced beam deflection theories applicable to non-rigid structures
USEFUL FOR

Engineers, material scientists, and designers involved in inflatable structures, particularly those seeking to understand the mechanical behavior of thin-walled polymer materials under load.

Tom Gerhardt
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Hi,
I am designing an inflatable balloon (long and thin like those used to make balloon animals) with a purpose to support a force in a manner like a cantilever.

I am struggling to find literature/assistance regarding the calculations required to determine balloon deflection under a standard perpendicular force. I don't know how to equate the hoop/axial stresses, the elastic modulus of the material and lastly the equations for simple beam deflection.

If anyone can shed some light on this problem I would be grateful!

Thanks,
Tom
 
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That's because the balloon doesn't act like a beam. The skin of the balloon is a membrane and the physics of how it reacts to loads imposed on it are much more complicated and difficult to solve than for a beam or even a structure constructed out of a thin, rigid shell. With structures constructed from metal shells, like an airplane fuselage, certain simplifications can be made concerning how much the plate can deflect relative to its thickness which allow one to make calculations without a lot of work. Because the skin of a balloon is so thin, these simplifications cannot be applied, and the problem becomes much more complicated.
 
One possibility would be to study the research done on automobile airbags.
 

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