Res.2-002 Linear Finite Element Analysis
Res.2-002 Linear Finite Element Analysis (MIT OCW). Instructor: Professor K. J. Bathe. This course introduces the basic principles used for effective finite element analysis, the general assumptions, and the implementation of finite element procedures. This video series is a comprehensive course of study that presents effective finite element procedures for the linear analysis of solids and structures. The finite element method is the ideal tool for solving static and dynamic problems in engineering and the sciences. Linear analysis assumes linear elastic behavior and infinitesimally small displacements and strains. To establish appropriate models for analysis, it is necessary to become familiar with the finite element methods available. (from ocw.mit.edu)
| Lecture 12 - Solution Methods for Frequencies and Mode Shapes |
Solution methods for finite element eigenproblems. Standard and generalized eigenproblems. Basic concepts of vector iteration methods, polynomial iteration techniques, Sturm sequence methods, transformation methods. Large eigenproblems. Details of the determinant search and subspace iteration methods. Selection of appropriate technique, practical considerations.
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