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# Steak, shake or break – and other applications of FEM - PowerPoint PPT Presentation

Steak, shake or break – and other applications of FEM. TMA4220. Outline. Present the governing equations (3 of them) Building your FEM code Mesh generation Experimentation Integration with other courses. Time dependent Poisson. “Steak”: Heat transfer

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### Steak, shake or break – and other applications of FEM

TMA4220

• Present the governing equations (3 of them)

• Mesh generation

• Experimentation

• Integration with other courses

• “Steak”: Heat transfer

• The way heat propagates through objects

• “Break”: Stress analysis

• How things bend and deform

• “Shake”: Eigenmode analysis

• Natural frequency of which things oscillate

• Series of problems 1a) – 3b)

• FEM theory

• Sample 2d problem

• Sample 3d problem

• Your choice and experimentation (Problem 4)

• On problem 4: Elaborate as much as possible

• Lots of issues (probably the most understated part of FEM training)

• 3 options

• GMSH (free, easy-to-use mesh tool, readable output)

• I’ll get back to #3 later

• Choose an equation

• Choose a geometry

• Choose an objective

• Analyze the results

• Experiment with geometry, material properties and/or boundary conditions

• How to cook the optimal beef

• Choose an equation

• Choose a geometry

• Choose an objective

• Optimality criterium?

• Too short cooking – raw and unedible

• Too long cooking – dry and tasteless

• Too varying temperature – all of the above

• Experimentation

• Linear elasticity

• Choose an equation

• Choose a geometry

• Choose an objective

• Max stress lower than material critical point

• Will it withstand gravity?

• Will it withstand external forces? (creepers?)

• What are the natural frequencies of your geometry (and material)?

• Choose an equation

• Choose an objective

• Find the natural frequencies

• Resonance with enviromental frequencies (wind, noise etc)

• Sound/music (harmonic overtones)

• Purely visual

• Choose a geometry

• Numerical linear algebra (TMA4205)

• Mathematical Modeling (TMA4195)

• Experts in Team (TMA4850)

• 2 persons to each group

• Written report and presentation

• No min/max pages

• I’m away next week, Anne away the next 2 weeks