Calculus of Variation and Euler's Elastica

Related lectures (30)

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

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

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

Covers differentiable functions, extreme points, and the Lagrange multiplier method for optimization.

Covers the stability analysis of ODEs using numerical methods and discusses stability conditions.

Explores the calculus of variations and Euler's Elastica in the context of beam equilibrium and inextensible elastic curves under large rotations.

Covers the theory and applications of optimization with constraints, including key concepts and numerical methods.

Provides an overview of advanced mechanisms analysis using Finite Element Method and Finite Element Analysis in engineering applications.

Explores molecular dynamics simulations under holonomic constraints, focusing on numerical integration and algorithm formulation.

Explores large deformations of inextensible sheets bent under self-weight and their equilibrium shapes under gravity.