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Elastic curve

   Also found in: Encyclopedia 0.01 sec.
(Geom.) The curve made by a thin elastic rod fixed horizontally at one end and loaded at the other.
(Mech.) The figure assumed by the longitudinal axis of an originally straight bar under any system of bending forces.

See also: Elastic Elastic



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In Flow Motion, 2001, for example, sections of tan, green, and red are corralled by elastic curves of lavender and orange, each hue somehow balancing the next.
Jurdjevic covers Cartan decomposition and the generalized elastic problems, the maximum principle and the Hamiltonians, the left-invariant symplectic form, symmetries and the conservation laws, complex Lie groups and complex Hamiltons, complexified elastic problems, complex elasticae of Euler and its n-dimensional extensions, Cartan algebras, root spaces and extra integrals of motion, and elastic curves in the cases of Lagrange and Kowalewski.
 
 
 
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