Lecture

Calculus of Variations and Euler's Elastica

Description

This lecture covers variational methods, calculus of variations with constraints, equilibrium shape of a bent inextensible beam clamped at its ends, Euler's Elastica, numerical methods like the shooting method, and analytical methods for Euler's Elastica using elliptic integrals.

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Official source

https://mediaspace.epfl.ch/media/0_t5bhjjpz

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Ontological neighbourhood

Mathematics

Analysis: Calculus, Differential anaysis, Complex analysis

Algebra: Linear algebra

Geometry: Euclidean geometry

Physics

Mechanics: Classical mechanics

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