Scribd
Upload
36 views86 pages

Fem 1

The document discusses approximate methods for finite element analysis, including weighted residual methods, the collocation method, Galerkin method, variational method, and modified Galerkin method. It also covers basic finite element concepts such as the variational method, advantages of the finite element method over classical approximate solution techniques, element equations with and without boundary conditions, and examples of finite element analysis for bars, trusses, and other problems.

Uploaded by

anon_443337376
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
36 views86 pages

Fem 1

The document discusses approximate methods for finite element analysis, including weighted residual methods, the collocation method, Galerkin method, variational method, and modified Galerkin method. It also covers basic finite element concepts such as the variational method, advantages of the finite element method over classical approximate solution techniques, element equations with and without boundary conditions, and examples of finite element analysis for bars, trusses, and other problems.

Uploaded by

anon_443337376
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
You are on page 1/ 86

INTRODUCTION TO 1-D

FINITE ELEMENT ANALYSIS

APPROXIMATE METHODS

APPROXIMATE METHODS (Continued)


Weighted Residual Methods

APPROXIMATE METHODS (Continued)

APPROXIMATE METHODS (Continued)


Least Squares Weighted Residuals

APPROXIMATE METHODS (Continued)

APPROXIMATE METHODS (Continued)

APPROXIMATE METHODS (Continued)


Collocation Method

APPROXIMATE METHODS (Continued)

APPROXIMATE METHODS (Continued)


Galerkin Method (Basic Formulation)

APPROXIMATE METHODS (Continued)

APPROXIMATE METHODS (Continued)


Variational Method (Rayleigh-Ritz Method)

APPROXIMATE METHODS (Continued)

APPROXIMATE METHODS (Continued)

APPROXIMATE METHODS (Continued)

APPROXIMATE METHODS (Continued)

APPROXIMATE METHODS (Continued)

APPROXIMATE METHODS (Continued)

APPROXIMATE METHODS (Continued)

APPROXIMATE METHODS (Continued)


Modified Galerkin Method

APPROXIMATE METHODS (Continued)

APPROXIMATE METHODS (Continued)


Boundary Conditions

BASIC FINITE ELEMENT CONCEPTS


Classical Approx. Solution Techniques Vs. FEM

BASIC FINITE ELEMENT CONCEPTS (Continued)


Variational Method (Rayleigh-Ritz Method)

BASIC FINITE ELEMENT CONCEPTS (Continued)

BASIC FINITE ELEMENT CONCEPTS (Continued)

BASIC FINITE ELEMENT CONCEPTS (Continued)


Example

BASIC FINITE ELEMENT CONCEPTS (Continued)

BASIC FINITE ELEMENT CONCEPTS (Continued)

BASIC FINITE ELEMENT CONCEPTS (Continued)

BASIC FINITE ELEMENT CONCEPTS (Continued)

BASIC FINITE ELEMENT CONCEPTS (Continued)

BASIC FINITE ELEMENT CONCEPTS (Continued)

BASIC FINITE ELEMENT CONCEPTS (Continued)

BASIC FINITE ELEMENT CONCEPTS (Continued)


Advantages of FEM

BASIC FINITE ELEMENT CONCEPTS (Continued)

BASIC FINITE ELEMENT CONCEPTS (Continued)

BASIC FINITE ELEMENT CONCEPTS (Continued)


Example

BASIC FINITE ELEMENT CONCEPTS (Continued)

BASIC FINITE ELEMENT CONCEPTS (Continued)

BASIC FINITE ELEMENT CONCEPTS (Continued)

BASIC FINITE ELEMENT CONCEPTS (Continued)

BASIC FINITE ELEMENT CONCEPTS (Continued)


Element Equations Without BCs

BASIC FINITE ELEMENT CONCEPTS (Continued)

BASIC FINITE ELEMENT CONCEPTS (Continued)


Element Equations With BCs

BASIC FINITE ELEMENT CONCEPTS (Continued)

BASIC FINITE ELEMENT CONCEPTS (Continued)


Three Element Solution

BASIC FINITE ELEMENT CONCEPTS (Continued)

BASIC FINITE ELEMENT CONCEPTS (Continued)

BASIC FINITE ELEMENT CONCEPTS (Continued)

BASIC FINITE ELEMENT CONCEPTS (Continued)

BASIC FINITE ELEMENT CONCEPTS (Continued)


Modified Galerkin Method

BASIC FINITE ELEMENT CONCEPTS (Continued)

BASIC FINITE ELEMENT CONCEPTS (Continued)

BASIC FINITE ELEMENT CONCEPTS (Continued)

BASIC FINITE ELEMENT CONCEPTS (Continued)

BASIC FINITE ELEMENT CONCEPTS (Continued)


Three Element Solution

BASIC FINITE ELEMENT CONCEPTS (Continued)

BASIC FINITE ELEMENT CONCEPTS (Continued)

BASIC FINITE ELEMENT CONCEPTS (Continued)

BASIC FINITE ELEMENT CONCEPTS (Continued)


Axial Deformation of Bar

BASIC FINITE ELEMENT CONCEPTS (Continued)

BASIC FINITE ELEMENT CONCEPTS (Continued)

BASIC FINITE ELEMENT CONCEPTS (Continued)

BASIC FINITE ELEMENT CONCEPTS (Continued)

BASIC FINITE ELEMENT CONCEPTS (Continued)

BASIC FINITE ELEMENT CONCEPTS (Continued)

BASIC FINITE ELEMENT CONCEPTS (Continued)

BASIC FINITE ELEMENT CONCEPTS (Continued)

BASIC FINITE ELEMENT CONCEPTS (Continued)

BASIC FINITE ELEMENT CONCEPTS (Continued)


Analysis of 2-D Trusses

BASIC FINITE ELEMENT CONCEPTS (Continued)

BASIC FINITE ELEMENT CONCEPTS (Continued)

BASIC FINITE ELEMENT CONCEPTS (Continued)

BASIC FINITE ELEMENT CONCEPTS (Continued)

BASIC FINITE ELEMENT CONCEPTS (Continued)

BASIC FINITE ELEMENT CONCEPTS (Continued)

BASIC FINITE ELEMENT CONCEPTS (Continued)


Analysis of 3-D Trusses

BASIC FINITE ELEMENT CONCEPTS (Continued)

BASIC FINITE ELEMENT CONCEPTS (Continued)

BASIC FINITE ELEMENT CONCEPTS (Continued)

BASIC FINITE ELEMENT CONCEPTS (Continued)

BASIC FINITE ELEMENT CONCEPTS (Continued)

BASIC FINITE ELEMENT CONCEPTS (Continued)

BASIC FINITE ELEMENT CONCEPTS (Continued)

BASIC FINITE ELEMENT CONCEPTS (Continued)

You might also like