Proceedings of the International Conference on Geometry, Integrability and Quantization

A Note on the Passage From the Free to the Elastica with a Tension

Peter Djondjorov, Mariana Hadzhilazova, Ivaïlo M. Mladenov, and Vassil Vassilev

Abstract

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.

Article information

Source
Proceedings of the Tenth International Conference on Geometry, Integrability and Quantization, Ivaïlo M. Mladenov, Gaetano Vilasi and Akira Yoshioka, eds. (Sofia: Avangard Prima, 2009), 164-170

Dates
First available in Project Euclid: 13 July 2015

Permanent link to this document
https://projecteuclid.org/ euclid.pgiq/1436793442

Digital Object Identifier
doi:10.7546/giq-10-2009-164-170

Mathematical Reviews number (MathSciNet)
MR2757832

Zentralblatt MATH identifier
1261.58007

Citation

Djondjorov, Peter; Hadzhilazova, Mariana; Mladenov, Ivaïlo M.; Vassilev, Vassil. A Note on the Passage From the Free to the Elastica with a Tension. Proceedings of the Tenth International Conference on Geometry, Integrability and Quantization, 164--170, Avangard Prima, Sofia, Bulgaria, 2009. doi:10.7546/giq-10-2009-164-170. https://projecteuclid.org/euclid.pgiq/1436793442


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