Plates: Föppl-von Kármán Equations

Related lectures (32)

Page 3 of 4

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

Explores the mechanics of slender structures, discussing plate evaluation, bending energy, and curvature tensors.

Covers the framework for plates, bending and stretching energies, and Föppl-von Kármán Equations, exploring mean and Gaussian curvatures.

Covers strain-displacement relations, simplifications, constitutive relations, equilibrium equations, and circular rings.

Covers the review of 3D Linear Elasticity and beams, focusing on mechanics of slender structures.

Covers dimensional analysis, physical similarity, and structural mechanics, emphasizing the importance of scaling laws in solving complex problems.

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

Covers the calculation of curvature in beams and the design of beams for stress considerations.

Introduces arrows in beams and how to calculate deflection using differential relations.

Covers the mechanics of slender structures, focusing on nonlinear curved beams.