Calculus of Variations and Euler's Elastica

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Covers variational methods, equilibrium shape of a bent beam, Euler's Elastica, and numerical and analytical methods.

Covers variational methods, equilibrium shapes, Euler's Elastica, and numerical and analytical methods for solving Euler's Elastica.

Explores virtual work in structural mechanics, emphasizing equilibrium states and the application of virtual displacements.

Explores variational methods, Euler's Elastica, numerical and analytical methods, and the buckling of slender structures.

Covers the method of Lagrange multipliers to find extrema subject to constraints.

Covers the KKT conditions for optimization with constraints, essential for solving constrained optimization problems efficiently.

Covers Euler's Elastica and the equilibrium shape of a bent beam using variational/energy methods.

Covers the optimization with constraints, focusing on the Karush-Kuhn-Tucker (KKT) conditions.

Covers the principle of least action, Euler-Lagrange equations, Lagrange multipliers, and variational calculus.

Covers work, potential energy, and the principle of virtual work in structural mechanics.