Geometric Nonlinearity: Large Rotations in Structural Analysis

Related lectures (32)

Page 3 of 4

Covers the concept of vector rotation in kinematics and the derivative of a vector with constant norm.

Explores the symmetries of Navier-Stokes equations in periodic boxes, including translations, transformations, rotations, and scaling.

Explores the scalar product, vector lengths, angles, norms, and rotations in 2D and 3D spaces.

Explores mathematical preliminaries of tensors and their transformations under basis rotations.

Covers the preservation of isometry by rotations and symmetries.

Explores complex numbers in polar form, powers, and roots, including trigonometric relationships and rotation matrices.

Analyzes cables under eccentric loads and inclined forces, discussing structural schemes and generalizations.

Covers stress equilibrium, strain, and constitutive equations in 2D and 3D.

Explores symmetries in Newtonian mechanics and wave equations, highlighting their significance in understanding physical laws.

Explores harmonic oscillators, pendulum movement, and spherical coordinates in physics.