Variational Analysis of Generalized Elastic Catenaries under Constrained Energy Functionals: One-Dimensional Curves in Two and Three Dimensions and Tubular Surfaces in Three Dimensions (German)
Published in still not pubicly available, 2026
This article is intended for my participation in the Jugend Forscht competition next year and is currently not publicly available. The project is still being developed and refined. It has already presented the differential equation systems corresponding to three different cases. In this work, a fundamental theorem from measure theory is employed to improve and modify the classical catenary model by incorporating gravitational potential energy and torsional energy, rather than considering only bending energy.
Recommended citation: Yimu Mao. (2026). ".Variational Analysis of Generalized Elastic Catenaries under Constrained Energy Functionals: One-Dimensional Curves in Two and Three Dimensions and Tubular Surfaces in Three Dimensions "
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