# Finite Element Application - PowerPoint PPT Presentation

PPT – Finite Element Application PowerPoint presentation | free to download - id: 13b001-ZDRiM

The Adobe Flash plugin is needed to view this content

Get the plugin now

View by Category
Title:

## Finite Element Application

Description:

### Name 'finite element' was introduced in 1960 when triangular and rectangular ... Enter bottom left coordinates. Enter top right coordinates. Steps Con't ' ... – PowerPoint PPT presentation

Number of Views:86
Avg rating:3.0/5.0
Slides: 31
Provided by: famuf
Category:
Tags:
Transcript and Presenter's Notes

Title: Finite Element Application

1
Finite Element Application
• Group 2
• Mason Vance
• Alex V. Dugé
• Abdul-Razak Nuhu

2
AGENDA
• Introduction
• History of FEM
• Overview of FEM theory
• FEM Applications
• Examples
• Advantages of FEM
• Conclusion
• Bibliography

3
INTRODUCTION
• What is finite element method?
• -- An approximate method for solving partial
differential equations by replacing
continuous functions by piecewise
approximations defined on polygons, which are
referred to as elements.

4
HISTORY
• Name finite element was introduced in 1960 when
triangular and rectangular elements were used
for plane stress analysis
• Modern development started in the 1940s in
structural engineering
• Developed from Jacobian, Gauss, Jordan, and
Seidel iteration
• Used only for static analysis until 1965
• Variational formulation became available in 1967
• Uses matrix algorithm

5
Overview of FEM theory
• Continuous field over the entire domain
• Domain divided into subsections with finite
degree of freedom

6
General Steps
• Discretize the Domain
• a. Divide the domain into finite element using
appropriate element type
• Select a Displacement Function
• a. Define a function within each element using
the nodal values
• Define the temperature variation through the
element
• Derive the Element Stiffness Matrix and Equations

7
General Steps contd
• Assemble the element equations to get the global
equations
• Apply Boundary Conditions
• Solve for the unknowns degree of freedom
• Solve for the nodal temperatures
• Interpret the results

8
FEM in the Old Age
9
FEM in the Modern Age
10
FEM Application
• Steady-state Heat transfer
• Transient Heat transfer
• Linear Transient Stress ( Direct integration)
• Linear Transient Stress (Model Superposition)
• Linear Response Spectrum (Model Superposition)
• Linear Random Vibration (Model Superposition)
• Linear Frequency Response
• Linear Critical Buckling Load
• Electrostatic Current and Voltage
• Electrostatic Field Strength and Voltage

11
FEM Application Cont
• Dynamic Design-Analysis Method(DDAM)
• Accupak/VE Mode Shapes and Natural Frequencies
• Linear Mode Shape and Natural Frequencies with

12
(No Transcript)
13
Step-by-step instructions on using Algor
• Open Engineering folder
• Select Algor FEA

14
Steps Cont
• From here select Tools
• From Tools initiate Superdraw

15
Steps Cont
• Select the rectangle to begin drawing the plate

16
Steps Cont
• Enter bottom left coordinates
• Enter top right coordinates

17
Steps Cont
Enclose to bring plate into view
18
Steps Cont
• Generate Mesh
• Select appropriate units

19
Steps Cont
• Choose yes
• Select generate, then wait, OK, done

20
Steps Cont
• Discretized into elements

21
Steps Cont
• Boundary condition
• Set values by box applying to edges

22
Define analysis type (steady-state heat
transfer) Click box under Element (2-D) Click
Box under Material (copper) Click box under
Data to specify thickness Click on Global
23
Steps Cont
• Click boxes as shown
• Run analysis from Model Data Control

24
Steps Cont
Set multipliers to 1
25
Steps Cont
• Pick Results from Model Data Control

26
Temperature distribution from lab
27
• Model irregularly shaped bodies
• Handle general load conditions quite easily
• Model bodies composed of several different
materials
• Handle unlimited numbers and boundary conditions
• Vary the size of elements to make possible to use
small element when necessary.

28
• Alter finite element model relative easy and
cheap
• Include dynamic effects
• Handle nonlinear behavior existing with large
deformations and nonlinear materials.

29
CONCLUSION
• FEM can be use for optimization
• FEM can be use for engineering analysis
• Very cost effective
• Time saver

30
References
• www.nature.com/nsu/020101/ 020101-2.html
• www.bruneni.com/East/33-807.html