Course detail

Finite Element Method and ANSYS Computational Code

FSI-0KPAcad. year: 2011/2012

Analysis and numerical solution of problems of continuum mechanics. Variational formulation, Ritz method, Finite Element Method. History of FEM, algorithm of
FEM, loading and boundary conditions. Shape functions over 1D and 2D triangular elements. ANSYS - finite element software. Program organisation, database, ANSYS files. Post-processing, pre-processing: solid modelling, direct meshing, Top-Down, Bottom-Up modelling. Coordinate systems. Working planes. Selection of entities. Boolean operations. Components, assemblies.
APDL - ANSYS Parametric Design Language.

Language of instruction

Czech

Number of ECTS credits

2

Mode of study

Not applicable.

Guarantor

prof. Ing. Jindřich Petruška, CSc.

Department

Institute of Solid Mechanics, Mechatronics and Biomechanics (ÚMTMB)

Learning outcomes of the course unit

Students gain basic theoretical and practical knowledge of the Finite Element Method. They learn how to use it for solving continuum mechanics problems in complicated two- and three dimensional regions. The acquired knowledge is applicable in all areas of solid and fluid continuum mechanics, for students of all branches of engineering study.

Prerequisites

Matrix notation, linear algebra, function of one and more variables, calculus, elementary dynamics, elasticity and thermal conduction.

Co-requisites

Not applicable.

Planned learning activities and teaching methods

Teaching methods depend on the type of course unit as specified in the article 7 of BUT Rules for Studies and Examinations.

Assesment methods and criteria linked to learning outcomes

The course-unit credit is granted under the condition of:
- active participation in seminars,
- individual preparation and presentation of seminar tasks.

Course curriculum

Not applicable.

Work placements

Not applicable.

Aims

The objective of the course is to present theoretical background of FEM and its practical application to various problems of continuum mechanics. Practical training is done with the commercial FE system ANSYS, which is frequently used at universities, scientific institutions and industrial companies worldwide.

Specification of controlled education, way of implementation and compensation for absences

Attendance at seminars is required. The absence is compensated by additional assignments according to the instructions of the tutor.

Recommended optional programme components

Not applicable.

Prerequisites and corequisites

Not applicable.

Basic literature

Zienkiewicz, O. C. and Taylor, R. L., Finite Element Method, Vol. 1,2, Pergamon, 2000
Huebner, K. H. et al.: The Finite Element Method for Engineers, J.Wiley, 4th ed., 2001
Hinton, E. - Owen, D. R. J.: Finite Element Programming, Pineridge press, 1977

Recommended reading

ANSYS User's Manuals: Analysis Guides
ANSYS User's Manuals: Commands Manual
ANSYS User's Manuals: Elements Manual

Classification of course in study plans

  • Programme B3A-P Bachelor's

    branch B-FIN , 3. year of study, summer semester, elective (voluntary)

  • Programme B3S-P Bachelor's

    branch B-STI , 3. year of study, summer semester, elective (voluntary)

  • Programme M2A-P Master's

    branch M-MAI , 1. year of study, summer semester, elective (voluntary)

Type of course unit

 

Lecture

13 hours, optionally

Teacher / Lecturer

doc. Ing. Tomáš Návrat, Ph.D.

Syllabus

1. Analytical and variational methods in Continuum Mechanics (Ritz method, FEM).
2. Algorithm of solution of structural and thermal problems by FEM.
3. Modelling of real bodies by 1D, 2D and 3D elements, using symmetry in modelling.
4. Creation of 2D and 3D geometry of analysed bodies in ANSYS.
5. Creation of FE mesh, control of mesh density, influence of discretisation on results.
6. Boundary conditions, loading, solution.
7. Evaluation of results - Post-processing.
8. Solution of problems by shell elements, thin- and thick-walled shells.
9. Submodelling, coordinate systems, components definition.
10. Solution of dynamic problems - modal, harmonic and transient problems.
11. Rotordynamics for ANSYS - solution of dynamics of rotor problems in ANSYS.
12. Programming macro in ANSYS (APDL).
13. Thermal conduction problems in ANSYS.

Computer-assisted exercise

26 hours, optionally

Teacher / Lecturer

doc. Ing. Tomáš Návrat, Ph.D.
Ing. Petr Vosynek, Ph.D.

Syllabus

1. System ANSYS and its characteristics, working files.
2. Show of basic algorithms of modelling on a plane model.
3. Show of different levels of modelling of a beam problem (modelling by 1D, 2D and 3D elements).
4. Creation of 2D and 3D geometry of analysed bodies in ANSYS.
5. Control of FE mesh density, free and mapped meshing.
6. Boundary conditions and loading for different types of 2D and 3D problems.
7. Line elements: example of using and solution of line elements.
8. Solution of problems in 2D, using axial symmetry, solution of plane stress and strain.
9. Solution of 3D solid and shell bodies.
10. Solution of dynamic problem: modal analysis, rotordynamics.
11. Submodelling, definition of components.
12. Programming macro in ANSYS (APDL).
13. Presentation of individual projects.