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317.540 Isogeometric Analysis
This course is in all assigned curricula part of the STEOP.
This course is in at least 1 assigned curriculum part of the STEOP.

2022S, VU, 4.0h, 5.0EC

Properties

  • Semester hours: 4.0
  • Credits: 5.0
  • Type: VU Lecture and Exercise
  • Format: Hybrid

Learning outcomes

After successful completion of the course, students are able to explain and utilize the basic approaches regarding modeling in CAD systems and in the classic finite element simulation. They will be able to combine these two approaches to isogeometric analysis and can handle its application to various classes of problems (structural mechanics, heat transfer and CFD) under consideration of the pros and cons. A focus area of the course will be the particularities of isogeometric analysis as compared to standard finite elements, in particular in terms of quadrature and assembly.

The students will have written their own isogeometric analysis program in Matlab and will have detailed knowledge of the components relevant to such a program. 

Subject of course

  • Geometry representation (Bézier splines, B-splines, NURBS, T-splines)
  • Geometry manipulation and derivatives
  • Isogeometric analysis in comparison to standard finite elements
  • Assembly 
  • Quadrature
  • Refinement
  • Imposition of boundary conditions
  • Trimmed NURBS in isogeometric analysis
  • Applications of IGA

Teaching methods

The lecture makes use of different multi-media elements, combining slides with hand-written parts. Furthermore, the lecture contains interactive concepts such as quizzes or online programs. Finally, the exercise in Matlab teaches the students hands-on, what isogeometric analysis demands of the user. 

Mode of examination

Oral

Additional information

Due to the Covid 19 pandemic, the mode of the class may differ

Lecturers

Institute

Course dates

DayTimeDateLocationDescription
Thu13:00 - 15:0003.03.2022 - 30.06.2022Seminarraum BD 02C Lecture Isogeometric Analysis
Isogeometric Analysis - Single appointments
DayDateTimeLocationDescription
Thu03.03.202213:00 - 15:00Seminarraum BD 02C Lecture Isogeometric Analysis
Thu10.03.202213:00 - 15:00Seminarraum BD 02C Lecture Isogeometric Analysis
Thu17.03.202213:00 - 15:00Seminarraum BD 02C Lecture Isogeometric Analysis
Thu24.03.202213:00 - 15:00Seminarraum BD 02C Lecture Isogeometric Analysis
Thu31.03.202213:00 - 15:00Seminarraum BD 02C Lecture Isogeometric Analysis
Thu07.04.202213:00 - 15:00Seminarraum BD 02C Lecture Isogeometric Analysis
Thu28.04.202213:00 - 15:00Seminarraum BD 02C Lecture Isogeometric Analysis
Thu05.05.202213:00 - 15:00Seminarraum BD 02C Lecture Isogeometric Analysis
Thu12.05.202213:00 - 15:00Seminarraum BD 02C Lecture Isogeometric Analysis
Thu19.05.202213:00 - 15:00Seminarraum BD 02C Lecture Isogeometric Analysis
Thu02.06.202213:00 - 15:00Seminarraum BD 02C Lecture Isogeometric Analysis
Thu23.06.202213:00 - 15:00Seminarraum BD 02C Lecture Isogeometric Analysis
Thu30.06.202213:00 - 15:00Seminarraum BD 02C Lecture Isogeometric Analysis

Examination modalities

oral examination

Course registration

Begin End Deregistration end
28.01.2022 09:00 29.04.2022 23:59 29.04.2022 23:59

Curricula

Literature

No lecture notes are available.

Previous knowledge

Basic knowledge of the finite element method

Language

English