151-0361-00L  An Introduction to the Finite-Element Method

SemesterSpring Semester 2017
LecturersG. Kress, C. Thurnherr
Periodicityyearly recurring course
Language of instructionEnglish



Catalogue data

AbstractThe class includes mathematical ancillary concepts, derivation of element equations, numerical integration, boundary conditions and degree-of-freedom coupling, compilation of the system’s equations, element technology, solution methods, static and eigenvalue problems, iterative solution of progressing damage, beam-locking effect, modeling techniques, implementation of nonlinear solution methods.
ObjectiveObtain a theoretical background of the finite-element method.
Understand techniques for finding numerically more efficient finite elements. Understand degree-of-freedom coupling schemes and recall typical equations solution algorithms for static and eigenvalue problems. Learn how to map specific mechanical situations correctly to finite-element models. Understand how to make best use of FEM for structural analysis. Obtain a first inside into the implementation of nonlinear FEM procedures.
Content1. Introduction, direct element derivation of truss element
2. Variational methods and truss element revisited
3. Variational methods and derivation of planar finite elements
4. Curvilinear finite elements and numerical integration
5. Element Technology
6. Degrees-of-freedom coupling and solution methods
7. Iterative solution methods for damage progression analysis
8. Shear-rigid and shear compliant beam elements and locking effect
9. Beam Elements and Locking Effect
10. Harmonic vibrations and vector iteration
11. Modeling techniques
12. Implementation of nonlinear FEM procedures
Lecture notesScript and handouts are provided in class and can also be down-loaded from:
Link
LiteratureNo textbooks required.

Performance assessment

Performance assessment information (valid until the course unit is held again)
Performance assessment as a semester course
ECTS credits4 credits
ExaminersG. Kress, C. Thurnherr
Typesession examination
Language of examinationEnglish
RepetitionThe performance assessment is offered every session. Repetition possible without re-enrolling for the course unit.
Mode of examinationoral 30 minutes
Additional information on mode of examinationTwo in-class quizzes (central elements) relating to exercise material during the semester with fail/pass evaluation.
This information can be updated until the beginning of the semester; information on the examination timetable is binding.

Learning materials

 
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Courses

NumberTitleHoursLecturers
151-0361-00 GAn Introduction to the Finite-Element Method3 hrs
Tue14-17ML H 44 »
G. Kress, C. Thurnherr

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Offered in

ProgrammeSectionType
Doctoral Department of Mechanical and Process EngineeringDoctoral and Post-Doctoral CoursesWInformation
Mechanical Engineering BachelorDesign, Mechanics and MaterialsW+Information
Mechanical Engineering MasterMechanics, Materials, StructuresWInformation
Micro- and Nanosystems MasterElective Core CoursesWInformation
Computational Science and Engineering BachelorElectivesWInformation
Computational Science and Engineering MasterElectivesWInformation