Course offering details
|
Instructors: Prof. Dr. Rolf Mahnken M.Sc.
Event type:
Lecture
Org-unit: Maschinenbau
Displayed in timetable as:
FEM1
Hours per week:
2
Language of instruction:
German
Min. | Max. participants:
- | -
Requirements and recommendations:
Basic knowledge in mechanics and mathematics
Aim of the event:
Many problems of mechanical engineering lead to partial differential equations, which in most cases cannot be solved by analytical methods due time restrictions or inaccuracy. Among different numerical procedures the finite element method is the most efficient one for problems in fluid mechanics, thermodynamics, elastomers, bio mechanics, dynamics, metal forming, electronics and further engineering fields. Nowerdays most computer centres of universities and engineering offices in industry make use of commercial programs like ABAQUS, ANSYS or MARC. For example modern daily engineering work in car industry, tyre industry or gas turbine industry would be impossible to do without the finite element method. The lecture provides the basic approach of the method for problems of elasticity, heat or fluid mechanics. In the exercises specific attention is paid to the use of commercial program systems for pre- and postprocessing. Examples of thermal mechanical problems of gasturbine industry are treated.
Target group:
Students of mechanical engineering, Techno mathematics, Physics, Informatics
Contents:
Problems of mechanical engineering - Elastic problems (beams, plane problems, 3-dim structures) - Stationary heat problem - problems of fluid mechanics
One dimensional finite element formulation - Galerkin method - The FEM as approximation method, "local" and "global" approach of FEM (element stiffnis matrix and System stiffness matrix), properties of matrices
Two dimensional finite element formulation - Galerkin method - The FEM as approximation method as a "local" approach (element stiffness matrix and System stiffness matrix), properties of matrices - The isoparametric concept - Application to mechanical and thermal problem
Introduction to mixed formulations - Deficiencies of standard FE-method ("Volume-locking", "Shear-Locking") - Mixed element formulations
Introduction into adaptive methods - A priori and a posteriori error estimators - Problems of elasticity and heat
Applications of FEM in Pre- und Post-Processing - Pre-processing of simple geometrical structures with ABAQUS CAE - Variation of materials, element types, meches - FEM-analysis of stationary heat problem, mechanical problem - Post-Processing, critical assessment of "coloured figures", comparison with analytical methods - Vergleich mit analytischen Lösungen
Contact person:
Prof. Mahnken
Literature:
O.C. Zienkiewicz, R.L. Taylor, The Finite Element Method, 5th edition, Butterworth-Heinemann, 2000
Supplementary events:
see catalogue for course on material science
|
Appointments
|
Date |
From |
To |
Room |
Instructors |
1 |
Fri, 14. Oct. 2011 |
11:00 |
13:00 |
P 6 2.03
|
Prof. Dr. Rolf Mahnken M.Sc.
|
2 |
Fri, 21. Oct. 2011 |
11:00 |
13:00 |
P 6 2.03
|
Prof. Dr. Rolf Mahnken M.Sc.
|
3 |
Fri, 28. Oct. 2011 |
11:00 |
13:00 |
P 6 2.03
|
Prof. Dr. Rolf Mahnken M.Sc.
|
4 |
Fri, 4. Nov. 2011 |
11:00 |
13:00 |
P 6 2.03
|
Prof. Dr. Rolf Mahnken M.Sc.
|
5 |
Fri, 11. Nov. 2011 |
11:00 |
13:00 |
P 6 2.03
|
Prof. Dr. Rolf Mahnken M.Sc.
|
6 |
Fri, 18. Nov. 2011 |
11:00 |
13:00 |
P 6 2.03
|
Prof. Dr. Rolf Mahnken M.Sc.
|
7 |
Fri, 25. Nov. 2011 |
11:00 |
13:00 |
P 6 2.03
|
Prof. Dr. Rolf Mahnken M.Sc.
|
8 |
Fri, 2. Dec. 2011 |
11:00 |
13:00 |
P 6 2.03
|
Prof. Dr. Rolf Mahnken M.Sc.
|
9 |
Fri, 9. Dec. 2011 |
11:00 |
13:00 |
P 6 2.03
|
Prof. Dr. Rolf Mahnken M.Sc.
|
10 |
Fri, 16. Dec. 2011 |
11:00 |
13:00 |
P 6 2.03
|
Prof. Dr. Rolf Mahnken M.Sc.
|
11 |
Fri, 23. Dec. 2011 |
11:00 |
13:00 |
P 6 2.03
|
Prof. Dr. Rolf Mahnken M.Sc.
|
12 |
Fri, 13. Jan. 2012 |
11:00 |
13:00 |
P 6 2.03
|
Prof. Dr. Rolf Mahnken M.Sc.
|
13 |
Fri, 20. Jan. 2012 |
11:00 |
13:00 |
P 6 2.03
|
Prof. Dr. Rolf Mahnken M.Sc.
|
14 |
Fri, 27. Jan. 2012 |
11:00 |
13:00 |
P 6 2.03
|
Prof. Dr. Rolf Mahnken M.Sc.
|
15 |
Fri, 3. Feb. 2012 |
11:00 |
13:00 |
P 6 2.03
|
Prof. Dr. Rolf Mahnken M.Sc.
|
Contained in modules
Module |
M.104.2607 Produktentwicklung für Ingenieurinformatiker (WS 2008/09) |
M.104.2607 Product Engineering (WS 2009/10) |
M.104.2607 Product Engineering (WS 2009/10) |
M.104.2607 Product Engineering (WS 2010/11) |
M.104.2607 Product Engineering (WS 2010/11) |
M.104.2607 Product Engineering (SS 2011) |
M.104.2607 Product Engineering (WS 2011/12) |
M.104.2607 Product Engineering (WS 2011/12) |
M.104.6252 Kunststofftechnik (Master) (WS 2008/09) |
M.104.6252 Polymer Engineering (Master) (WS 2009/10) |
M.104.6252 Polymer Engineering (Master) (WS 2010/11) |
M.104.6252 Polymer Engineering (Master) (WS 2010/11) |
M.104.6252 Polymer Engineering (Master) (SS 2011) |
M.104.6252 Polymer Engineering (Master) (SS 2011) |
M.104.6252 Polymer Engineering (Master) (WS 2011/12) |
M.104.6252 Polymer Engineering (Master) (WS 2011/12) |
M.104.6254 Mechatronik (Master) (WS 2008/09) |
M.104.6254 Mechatronics (Master) (WS 2009/10) |
M.104.6254 Mechatronics (Master) (SS 2010) |
M.104.6254 Mechatronics (Master) (WS 2010/11) |
M.104.6254 Mechatronics (Master) (SS 2011) |
M.104.6254 Mechatronics (Master) (SS 2011) |
M.104.6254 Mechatronics (Master) (WS 2011/12) |
M.104.6254 Mechatronics (Master) (WS 2011/12) |
M.104.6256 Produktentwicklung (Master) (WS 2008/09) |
M.104.6256 Product Development (Master) (WS 2008/09) |
M.104.6256 Product Development (Master) (WS 2009/10) |
M.104.6256 Product Development (Master) (WS 2009/10) |
M.104.6256 Product Development (Master) (WS 2010/11) |
M.104.6256 Product Development (Master) (WS 2010/11) |
M.104.6256 Product Development (Master) (SS 2011) |
M.104.6256 Product Development (Master) (SS 2011) |
M.104.6256 Product Development (Master) (WS 2011/12) |
M.104.6256 Product Development (Master) (WS 2011/12) |
M.104.6258 Production Engineering (WS 2009/10) |
M.104.6258 Production Engineering (WS 2010/11) |
M.104.6258 Production Engineering (WS 2010/11) |
M.104.6258 Production Engineering (SS 2011) |
M.104.6258 Production Engineering (SS 2011) |
M.104.6258 Production Engineering (WS 2011/12) |
M.104.6258 Production Engineering (WS 2011/12) |
M.104.6272 Polymer Engineering (SS 2011) |
M.104.6272 Polymer Engineering (WS 2011/12) |
M.104.6272 Polymer Engineering (WS 2009/10) |
M.104.6272 Polymer Engineering (WS 2010/11) |
M.104.6274 Mechatronics (SS 2011) |
M.104.6274 Mechatronics (WS 2011/12) |
M.104.6274 Mechatronics (WS 2009/10) |
M.104.6274 Mechatronics (WS 2010/11) |
M.104.6276 Product Development (SS 2011) |
M.104.6276 Product Development (WS 2011/12) |
M.104.6276 Product Development (WS 2009/10) |
M.104.6276 Product Development (WS 2010/11) |
M.104.6278 Production Engineering (SS 2011) |
M.104.6278 Production Engineering (WS 2011/12) |
M.104.6278 Production Engineering (WS 2009/10) |
M.104.6278 Production Engineering (WS 2010/11) |