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Lecture
Shells I
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Related lectures (30)
Plates II: Föppl-von Kármán Equations
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Explores the theory of plates, including bending and stretching energies, and the Föppl-von Kármán Equations.
Closed Surfaces and Integrals
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Explains closed surfaces like spheres, cubes, and cones without covers, and their traversal and removal of edges.
Shells II: Mechanics of Slender Structure
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Covers the expression of energy, dimensional reduction, equilibrium equations, and the relationship between covariant and contravariant components in shell mechanics.
Surface Integrals: Regular Parametrization
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Covers surface integrals with a focus on regular parametrization and the importance of understanding the normal vector.
Mechanics of Kirchhoff Rods I
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Covers the mechanics of slender structures, focusing on exact kinematics and equilibrium equations of rods.
Surfaces in Space
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Explores surfaces in space, including paraboloids, spheres, and hyperboloids, and their equations and intersections.
Surface of Revolution
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Explains the parametric equations of surfaces of revolution generated by curves in space.
Geometric Surfaces: Paraboloid and Hyperboloid Concepts
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Covers the geometric properties of hyperbolic paraboloids and hyperboloids, focusing on their construction and curvature characteristics.
Plates II: Mechanics of Slender Structures
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Explores the mechanics of slender structures, discussing plate evaluation, bending energy, and curvature tensors.
Tensor Products and Symmetric Power
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Covers tensor products, symmetric power, and exterior power of vector spaces, including properties and applications.
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