Geometric Nonlinearity: Large Rotations in Structural Analysis

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Covers angular momentum in rotations, including preservation of angles and vector products.

Covers stress-strain relations, constitutive relations, and buckling of a circular ring in nonlinear beam theory.

Covers 3D rotations, quaternions, and matrices of direction cosines, providing an elegant solution to the limitations of rotation matrices.

Covers the mechanics of slender structures, focusing on exact kinematics and equilibrium equations of rods.

Covers visualizations in orthonormal bases in R2, focusing on rotations and reflections.

Explores the mechanics of slender structures, introducing concepts like finite strain and finite rotation theory.

Explores normal acceleration, spatial rotations, vector rotation, and angular speed concepts in physics.

Explores systems of forces in three dimensions, emphasizing moments and couples, equilibrium, and scalar components.

Covers the equilibrium conditions in 3D, system isolation, free-body diagrams, and constraints.

Explores isometries in Euclidean spaces, including translations, rotations, and linear symmetries, with a focus on matrices.