Gabor Csanyi, Gabor Domokos
While static equilibria of flexible strings subject to various load types is well understood textbook material, the combinations of the very same loads can give rise to complex behaviour. We show that flexible strings subject to combined smooth loads may not have smooth solutions in certain ranges of the load ratios. This nonsmooth phenomenon corresponds to the collapse geometry of inflated tents. After proving the nonexistence of smooth solutions for a broad family of loadings we identify two alternative, critical geometries immediatly preceeding the collapse. We verify these analytical results by dynamical simulation of flexible chains as well as with simple table-top experiments with an inflated membrane.
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http://arxiv.org/abs/1209.1758
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