A note on the passage from the free to the elastica with a tension. (English) Zbl 1261.58007

Mladenov, Ivaïlo M. (ed.) et al., Proceedings of the 10th international conference on geometry, integrability and quantization, Sts. Constantine and Elena, Bulgaria, June 6–11, 2008. Sofia: Avangard Prima (ISBN 978-954-323-531-5/pbk). 164-170 (2009).
Summary: Solutions of the free elastica are deformed in order to provide the analytical part of the corresponding mechanical construction which produce the shapes of Euler elastica by bending appropriately the rectangular one.
For the entire collection see [Zbl 1169.81004].


58E10 Variational problems in applications to the theory of geodesics (problems in one independent variable)
33E05 Elliptic functions and integrals
74B20 Nonlinear elasticity