Lecture 1: Introduction to Nonlinear Analysis

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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