1. Finite Element Analysis
Basics – Part 1/2
Johannes Steinschaden
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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
2005 February, 1

3. General role Start with a simple model Solve the mathematical model
Interpret the results
Refine the model …
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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
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7. Element Types One-dimensional Truss Beam Two-dimensional Plane stress
Plane strain
Ax symmetric solid
Thin shell
Three-dimensional
Solid
Other
Constrained element
Lumped mass
Gap
Rigid
Spring
2005 February, 1

8. 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
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9. Thank you!
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