330-0316/01 – Finite Element Methods 1 (MKP1)

Gurantor departmentDepartment of Applied MechanicsCredits5
Subject guarantordoc. Ing. Martin Fusek, Ph.D.Subject version guarantordoc. Ing. Radim Halama, Ph.D.
Study levelundergraduate or graduate
Study languageCzech
Year of introduction2015/2016Year of cancellation
Intended for the facultiesFSIntended for study typesBachelor
Instruction secured by
LoginNameTuitorTeacher giving lectures
PRZ031 Ing. Jana Bartecká
FUS76 doc. Ing. Martin Fusek, Ph.D.
HAL22 doc. Ing. Radim Halama, Ph.D.
MAR440 Ing. Alexandros Markopoulos, Ph.D.
POL0400 doc. Ing. Stanislav Polzer, Ph.D.
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 [2] ZIENKIEWICZ, O. C., TAYLOR,R.L. a ZHU, J.Z. The finite element method: its basis and fundamentals. 6th ed. Oxford: Elsevier Butterworth-Heinemann, 2005. ISBN 0-7506-6320-0.

Recommended literature:

[1] 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: 2015/2016 Winter semester)
Task nameType of taskMax. number of points
(act. for subtasks)
Min. number of points
Credit and Examination Credit and Examination 100 (100) 51
        Credit Credit 35  20
        Examination Examination 65  16
Mandatory attendence parzicipation:

Show history
Combined form (validity from: 2015/2016 Winter semester)
Task nameType of taskMax. number of points
(act. for subtasks)
Min. number of points
Credit and Examination Credit and Examination 100 (100) 51
        Credit Credit 35  20
        Examination Examination 65  16
Mandatory attendence parzicipation:

Show history

Occurrence in study plans

Academic yearProgrammeField of studySpec.FormStudy language Tut. centreYearWSType of duty
2019/2020 (B2341) Engineering (3901R003) Applied Mechanics P Czech Ostrava 3 Compulsory study plan
2019/2020 (B2341) Engineering (3901R003) Applied Mechanics K Czech Ostrava 3 Compulsory study plan
2018/2019 (B2341) Engineering (3901R003) Applied Mechanics P Czech Ostrava 3 Compulsory study plan
2018/2019 (B2341) Engineering (3901R003) Applied Mechanics K Czech Ostrava 3 Compulsory study plan
2017/2018 (B2341) Engineering (3901R003) Applied Mechanics P Czech Ostrava 3 Compulsory study plan
2017/2018 (B2341) Engineering (3901R003) Applied Mechanics K Czech Ostrava 3 Compulsory study plan
2016/2017 (B2341) Engineering (3901R003) Applied Mechanics P Czech Ostrava 3 Compulsory study plan
2016/2017 (B2341) Engineering (3901R003) Applied Mechanics K Czech Ostrava 3 Compulsory study plan
2015/2016 (B2341) Engineering (3901R003) Applied Mechanics P Czech Ostrava 3 Compulsory study plan

Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner
ECTS - MechEng - Bachelor Studies 2015/2016 Full-time English Choice-compulsory 301 - Study Office stu. block