Thin walled polymer balloon deflection

AI Thread Summary
Designing an inflatable balloon to support a force like a cantilever involves complex physics, as the balloon's skin behaves as a membrane rather than a beam. Calculating balloon deflection under perpendicular force requires understanding hoop and axial stresses, the elastic modulus, and the unique equations governing membrane behavior. Unlike rigid structures, the thin skin of the balloon complicates deflection calculations, making standard beam equations inapplicable. Research on automobile airbags may provide relevant insights into this problem. Addressing these complexities is essential for accurate design and analysis.
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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