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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 04 - Generalized Coordinate Finite Element Models

Classification of problems: truss, plane stress, plane strain, axisymmetric, beam, plate, and shell conditions; corresponding displacement, strain, and stress variables. Derivation of generalized coordinate models. One-, two-, three-dimensional elements, plate and shell elements.


Go to the Course Home or watch other lectures:

Lecture 01 - Some Basic Concepts of Engineering Analysis
Lecture 02 - Analysis of Continuous Systems
Lecture 03 - The Displacement-Based Finite Element Method
Lecture 04 - Generalized Coordinate Finite Element Models
Lecture 05 - Implementation of Methods in Computer Programs
Lecture 06 - Formulation and Calculation of Isoparametric Models
Lecture 07 - Formulation of Structural Elements
Lecture 08 - Numerical Integrations, Modeling Considerations
Lecture 09 - Solution of Equilibrium Equations in Static Analysis
Lecture 10 - Solution of Equilibrium Equations in Dynamic Analysis
Lecture 11 - Mode Superposition Analysis; Time History
Lecture 12 - Solution Methods for Frequencies and Mode Shapes