Geometric Nonlinearity: Large Rotations in Structural Analysis

This lecture explores the concept of geometric nonlinearity in structural analysis, focusing on the influence of large rotations on the computed response of structures. It covers the definition of strains, analytical examples of large rotations, and the co-rotational formulation for bar elements. The instructor discusses the Von Mises truss, strain measures for large strains, and the Green-Lagrange strain. Practical considerations for modeling structures undergoing large displacements are also addressed, along with the importance of different strain measures in finite element simulations.