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Related lectures (10)

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Explores equilibrium of cylindrical shells, parametrization of surfaces, and geometrical properties.

Explores the kinematics of 3D structures and twisted solutions in rod mechanics, including the mechanics of knots.

Investigates post-buckling deformation of plates, deriving bending and stretching energies.

Investigates coiling patterns of thin elastic rods on rigid substrates, emphasizing natural curvature's role in pattern formation.

Covers the mechanics of slender structures, focusing on crane mechanics and internal loads.

Explores curvature, inflection points, and angular functions in plane curves, highlighting the importance of inflection points.

Introduces the basics of differential geometry for parametric curves and surfaces, covering curvature, tangent vectors, and surface optimization.

Explores Gaussian curvature, principal curvatures, and nonlinear strain in thin elastic plates.

Explores the derivative of curve lengths, fixed-end deformations, geodesics, surface point typologies, and sphere parametrization.

Covers curvature, osculating circles, and the evolute of plane curves, with examples and equations.