Course detail

Finite Element Method and ANSYS I

FSI-RA1Acad. year: 2007/2008

The course deals with the following topics: Analytical and variational solution of structural mechanics problems. The basic algorithm of the finite element method. Solid modelling and mesh generation in ANSYS software. Application of boundary condition and loads. Modelling structures by link, beam, solid and shell elements. Plane stress, plane strain and axisymmetric structural problems. Postprocessing, result evaluation. Introduction to dynamical and thermal analysis. Macro definition in APDL. Introduction to nonlinear analysis.

Language of instruction

Czech

Number of ECTS credits

5

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

The students will be familiar with the basics of the finite-element method with emphasis placed on applications. They will be able to develop and use appropriate assumptions and boundary conditions for the modelling of one-, two- and three-dimensional problems.

Prerequisites

Students are expected to have knowledge acquired in completed courses in Mechanics of Solids (Statics, Dynamics, Strength of Materials). Also required is the knowledge of classification of force systems and their resultants, equivalent force systems, body supports and connections, their computational models, general theorems of linear elasticity, stress in body point, linear vibration of systems with one and n degrees of freedom, the basic concepts of the linear algebra, vector calculus, differential calculus and numerical mathematics.

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

Graded course-unit credits are awarded on the condition of: active participation in the seminars, defence of the given semester work, the oral part of graded course-unit credit classified at least by grade E. Seminar tutor will specify the form of these conditions in the first week of the semester.

Course curriculum

Not applicable.

Work placements

Not applicable.

Aims

The objective of the course is to provide students with the fundamentals of finite element method emphasising the use of a finite element software for model and analyse structural stress problems. Students will use ANSYS to explore the basic principles of the finite element method.

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

Attendance is required. One absence can be compensated for by attending a seminar with another group in the same week, or by elaboration of substitute tasks. Longer absence may be compensated for via special tasks according to instructions of the tutor.

Recommended optional programme components

Not applicable.

Prerequisites and corequisites

Not applicable.

Basic literature

Zienkiewicz, O.C.: The Finite Element Method, 3rd ed.
Hinton, E. - Owen, D.R.J.: Finite Element Programming
Huebner, K.H. - Thornton, E.A. - Byrom, T.G.: The Finite Element Method for Engineers, 3rd ed.

Recommended reading

Introduction to ANSYS - Školicí manuály k ANSYSu
Ukázky vzorových příkladů od jednodušších po složitejší (http://www.mece.ualberta.ca/tutorials/ansys/)
Ukázky vzorových příkladů (http://mae.uta.edu/~lawrence/ansys/ansys_examples.htm)

Classification of course in study plans

  • Programme B3901-3 Bachelor's

    branch B3904-00 , 3. year of study, winter semester, compulsory-optional

Type of course unit

 

Lecture

26 hours, optionally

Teacher / Lecturer

prof. Ing. Jindřich Petruška, CSc.

Syllabus

1. Comparison the analytical and variational (Rayleigh-Ritz, FEM) solution of structural mechanics problems
2. Illustration of FE algorithm on the example of 1D elastic bar
3. The basic algorithm of the finite element method for structural and thermal analysis
4. Line elements in 2D
5. Line elements in 3D
6. Bars, beams, frames
7. Plane and axisymmetrical elements, mesh topology
8. Stiffness matrix structure
9. 2D and 3D solid modelling in ANSYS
10. Finite element mesh generation, free and mapped meshing
11. Use of 1D, 2D, and 3D elements
12. Application of boundary conditions and loads
13. Postprocessing, result evaluation, convergence

Computer-assisted exercise

39 hours, compulsory

Teacher / Lecturer

doc. Ing. Tomáš Návrat, Ph.D.

Syllabus

1. Introduction to ANSYS, graphical user interface
2. 2D solid modelling in ANSYS
3. 3D solid modelling in ANSYS
4. Frame structure in 2D
5. Frame structure in 3D
6. Beams and frame structure
7. Beams and frame structure
8. 2D plane stress, plane strain structural problems
9. 2D axisymmetric structural problems
10. Finite element mesh generation, free and mapped meshing
11. Solid elements in 3D structural problems, advanced pre and postprocessing
12. Consultations on individual projects
13. Presentation of semester projects