Lecture 1: Introduction to Nonlinear Analysis

Topics: Introduction to nonlinear analysis

• Introduction to the course
• The importance of nonlinear analysis
• Four illustrative films depicting actual and potential nonlinear analysis applications
• General recommendations for nonlinear analysis
• Modeling of problems
• Classification of nonlinear analyses
• Example analysis of a bracket, small and large deformations, elasto-plastic response
• Two computer-plotted animations
  • elasto-plastic large deformation response of a plate with a hole
  • large displacement response of a diamond-shaped frame
• The basic approach of an incremental solution
• Time as a variable in static and dynamic solutions
• The basic incremental/iterative equations
• A demonstrative static and dynamic nonlinear analysis of a shell

Instructor: Klaus-Jürgen Bathe