Stationary shape of a moving heavy flexible thread. (English. Russian original) Zbl 1462.74113

Mosc. Univ. Mech. Bull. 73, No. 1, 7-10 (2018); translation from Vestn. Mosk. Univ., Ser. I 73, No. 1, 39-43 (2018).
Summary: A model describing the shape of the stationary segment of a heavy flexible inextensible thread moving in a fixed vertical plane down to a given depth from a fixed position to a fixed position is considered. The parametric equations of the stationary curve are derived. The shape of the stationary segment and its properties are in a qualitative agreement with those observed in experiments.


74K99 Thin bodies, structures
Full Text: DOI


[1] J. S. Biggins and M. Warner, “Understanding the Chain Fountain,” Proc. Roy. Soc. A 470 (2014). doi 10.1098/rspa. 2013.0689
[2] F. Herrmann, “The Chain Fountain with Momentum Currents,” http://www.physikdidaktik.uni-karlsruhe.de/publication/Chain_fountain.pdf. Cited October 15, 2017.
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