1. Finite Element Analysis
Basics – Part 1/2
Johannes Steinschaden
2004 March, 2

2. Introduction Idealization of the problem into a mathematical model
Analyze only the mathematical model
Select an appropriate mathematical model
Cannot predict the response of the model exactly
Impossible to formulate a model that will represent all the information contained in an actual system
Mechatronik
= Kunstwort aus Mechanik und Elektronik und Informatik
2004 March, 2

3. General role Start with a simple model Solve the mathematical model
Interpret the results
Refine the model …
2004 March, 2

4. Idealization Linear static analysis Small deflections
Deflections vary only slowly
Time as a variable is omitted
Linear elastic deformations
Isotropic material
Loads are attached to the undeformed model
Cross sections are perpendicular to the midline
2004 March, 2

5. Element Types One-dimensional Truss Beam Two-dimensional Plane stress
Plane strain
Axisymmetric solids
Thin shell
Three-dimensional
Solids
Other
Constrained elements
Lumped mass
Gaps
Rigids
Springs
2004 March, 2

6. Finite Element Analysis Procedure
Preliminary analysis of the system: Perform an approximate calculation to gain some insights about the system
Preparation of the finite element model:
a Geometric and material information of the system b Prescribe how is the system supported c Determine how the loads are applied to the system
Perform the calculation: Solve the system equations and compute displacements, strains and stresses
Post-processing of the results: Viewing the stresses and displacements Interpret the results
2004 March, 2

7. Thank you!
2004 March, 2