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- Title
Conformal Invariance and Conserved Quantities for Lagrange Equation of Thin Elastic Rod.
- Authors
PENG WANG; HUI-RONG FENG; ZHI-MEI LOU
- Abstract
Basing on the analytical mechanics methods, the Lagrangian equations of thin elastic rod is constructed. The definition of conformal invariance for the Lagrange mechanics of elastic rod is given. The criterions that conformal invariance of elastic rod is the Lie symmetry are obtained based on the Lie point transformation group. The structure equation and conserved quantity deduced from conformal invariance of elastic rod are constructed. Take twist rod as an example to illustrate the application of the results got in this paper.
- Subjects
CONFORMAL invariants; LAGRANGE equations; ELASTIC rods &; wires; LIE algebras; MATHEMATICAL symmetry
- Publication
Acta Physica Polonica: A, 2017, Vol 131, Issue 2, p283
- ISSN
0587-4246
- Publication type
Article
- DOI
10.12693/APhysPolA.131.283