339-0304/02 – Finite Element Methods 1 (MKP1)

Gurantor departmentDepartment of Mechanics of MaterialsCredits5
Subject guarantordoc. Ing. Radim Halama, Ph.D.Subject version guarantordoc. Ing. Radim Halama, Ph.D.
Study levelundergraduate or graduateRequirementCompulsory
Year3Semesterwinter
Study languageCzech
Year of introduction2002/2003Year of cancellation2014/2015
Intended for the facultiesFSIntended for study typesBachelor
Instruction secured by
LoginNameTuitorTeacher giving lectures
BEL185 Ing. Radomír Bělík
FUS76 doc. Ing. Martin Fusek, Ph.D.
HAL22 doc. Ing. Radim Halama, Ph.D.
KLU106 Ing. Richard Klučka
ROJ71 Ing. Jaroslav Rojíček, Ph.D.
Extent of instruction for forms of study
Form of studyWay of compl.Extent
Full-time Credit and Examination 2+2
Combined Credit and Examination 12+8

Subject aims expressed by acquired skills and competences

Students gain the theoretical foundations of the finite element method (FEM) and the procedures for solving problems of elasticity using the numerical method. Basic training of FEM application on the selected tasks from engineering practice.

Teaching methods

Lectures
Tutorials
Project work

Summary

The subject forms the basis for the use of finite element method in engineering practice. Contents are general formulation of continuum mechanics, fundamentals linearization, introduction to variational methods, finally FEM applications to specific types of problems of linear elasticity.

Compulsory literature:

[1] MADENCI, E., GUVEN, I. The Finite Element Method and Applications in Engineering Using Ansys®. Springer, 2006, 686p. ISBN 978-0-387-28290-9

Recommended literature:

[2] BEER,G.-WATSON,J.O. Introduction to Finite and Boundary Element Methods for Engineers. John Wiley  Sons, 1992, 509p.ISBN 0 471 92813 5

Way of continuous check of knowledge in the course of semester

Test, example solutions

E-learning

no

Další požadavky na studenta

Předmět zahrnuje výklad základů MKP pro lineární strukturální problémy a má praktické zaměření:

Prerequisities

Subject has no prerequisities.

Co-requisities

Subject has no co-requisities.

Subject syllabus:

Subject includes an explication of FEM foundations for linear structural problems and also has practical focus: 1. Lecture – Elementary thought of FEM. Selection of interpolator functions. Types of elements. Derivation of stiffness matrix of a truss element. Equations of an elasticity mathematical theory. Minimal principle of potential energy. Process at FEM calculation. Conditions of convergence. 2. Lecture – assembly of global stiffness matrix and right side. Foundations of Ansys Workbench (description of individual models, work with help). Example 1: application example – beam in 3D. 3. Lecture – Computational modelling. Simplified exercises from 3D to 1D and 2D. Example 2: wrenche. 4. Lecture – Choice of boundary conditions. Singularity. Reading geometry from CAD model and its modification. Example 3: symmetry usage. 5. Lecture- Error of FEM calculation (aposteriori estimate). Adaptive FEM algorithm (h-method). Example 4: Think walled pressure tin. 6. Lecture - Seminary work. 7. Lecture – Seminary work. 8. Lecture – Seminary work. 9. Lecture – Final test, finalization and handing over a seminary work.

Conditions for subject completion

Full-time form (validity from: 2011/2012 Winter semester, validity until: 2012/2013 Winter semester)
Task nameType of taskMax. number of points
(act. for subtasks)
Min. number of points
Exercises evaluation and Examination Credit and Examination 100  51
        Exercises evaluation Credit  
        Examination Examination  
Mandatory attendence parzicipation:

Show history

Occurrence in study plans

Academic yearProgrammeField of studySpec.FormStudy language Tut. centreYearWSType of duty
2014/2015 (B2341) Engineering (3901R003) Applied Mechanics P Czech Ostrava 3 Compulsory study plan
2013/2014 (B2341) Engineering (3901R003) Applied Mechanics P Czech Ostrava 3 Compulsory study plan
2012/2013 (B2341) Engineering (3901R003) Applied Mechanics P Czech Ostrava 3 Compulsory study plan
2006/2007 (B2341) Engineering (3901R003) Applied Mechanics K Czech Ostrava 3 Compulsory study plan
2005/2006 (B2341) Engineering (3901R003) Applied Mechanics K Czech Ostrava 3 Compulsory study plan
2004/2005 (B2341) Engineering (3901R003) Applied Mechanics K Czech Ostrava 3 Compulsory study plan
2003/2004 (B2341) Engineering (3901R003) Applied Mechanics K Czech Ostrava 3 Compulsory study plan
2002/2003 (B2341) Engineering (3901R003) Applied Mechanics K Czech Ostrava 3 Compulsory study plan

Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner
ECTS - MechEng 2014/2015 Full-time Czech Choice-compulsory 301 - Study and International Office stu. block
ECTS - MechEng 2013/2014 Full-time Czech Choice-compulsory 301 - Study and International Office stu. block
ECTS - MechEng 2012/2013 Full-time Czech Choice-compulsory 301 - Study and International Office stu. block