339-0312/02 – Introduction to FEM (UMKP)

Gurantor departmentDepartment of Mechanics of MaterialsCredits2
Subject guarantordoc. Ing. Radim Halama, Ph.D.Subject version guarantordoc. Ing. Radim Halama, Ph.D.
Study levelundergraduate or graduate
Study languageCzech
Year of introduction2007/2008Year of cancellation2014/2015
Intended for the facultiesFSIntended for study typesBachelor
Instruction secured by
LoginNameTuitorTeacher giving lectures
PRZ031 Ing. Jana Bartecká
FOJ08 Ing. František Fojtík, Ph.D.
FRY72 doc. Ing. Karel Frydrýšek, Ph.D.
FUS76 doc. Ing. Martin Fusek, Ph.D.
HAL22 doc. Ing. Radim Halama, Ph.D.
HOR80 prof. Ing. Petr Horyl, CSc., dr.h.c.
KLU106 Ing. Richard Klučka
PEC204 Ing. Luboš Pečenka, Ph.D.
ROJ71 Ing. Jaroslav Rojíček, Ph.D.
SED301 Ing. Josef Sedlák, Ph.D.
SIV020 Ing. Milan Sivera
SMI133 Ing. Jakub Šmiraus, Ph.D.
SOF007 doc. Ing. Michal Šofer, Ph.D.
Extent of instruction for forms of study
Form of studyWay of compl.Extent
Full-time Graded credit 0+2
Combined Graded credit 0+8

Subject aims expressed by acquired skills and competences

Student should learn elementary procedures for solution of elasticity and strength problems by means of finite element method (FEM). Guaranty an understanding of a discussed topic. Student will gain theoretical knowledge of FEM, which they will learn to apply at a solution of selected problems out of a technical practice.

Teaching methods

Lectures
Tutorials
Project work

Summary

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.

Compulsory literature:

1] BEER,G.-WATSON,J.O.: Introduction to Finite and Boundary Element Methods for Engineers, John Wiley & Sons,1992 [2] BROWN,D.K.: An Introduction to the Finite Element Method using BASIC Programs, Surrey University Press, Blackie & Son Ltd, 1990, 2nd ed.

Recommended literature:

1] BEER,G.-WATSON,J.O.: Introduction to Finite and Boundary Element Methods for Engineers, John Wiley & Sons,1992 [2] BROWN,D.K.: An Introduction to the Finite Element Method using BASIC Programs, Surrey University Press, Blackie & Son Ltd, 1990, 2nd ed.

Way of continuous check of knowledge in the course of semester

Test, example solutions

E-learning

no

Další požadavky na studenta

Lecture attendance, not another request

Prerequisities

Subject has no prerequisities.

Co-requisities

Subject has no co-requisities.

Subject syllabus:

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

Conditions for completion are defined only for particular subject version and form of study

Occurrence in study plans

Academic yearProgrammeField of studySpec.FormStudy language Tut. centreYearWSType of duty
2014/2015 (B2341) Engineering (2301R003) Transport Equipment and Technology P Czech Ostrava 3 Optional study plan
2014/2015 (B2341) Engineering (2301R003) Transport Equipment and Technology K Czech Ostrava 3 Optional study plan
2013/2014 (B2341) Engineering (2301R003) Transport Equipment and Technology P Czech Ostrava 3 Optional study plan
2013/2014 (B2341) Engineering (2301R003) Transport Equipment and Technology P Czech Šumperk 3 Optional study plan
2013/2014 (B2341) Engineering (2301R003) Transport Equipment and Technology K Czech Šumperk 3 Optional study plan
2013/2014 (B2341) Engineering (2301R003) Transport Equipment and Technology K Czech Ostrava 3 Optional study plan
2012/2013 (B2341) Engineering (3901R003) Applied Mechanics P Czech Ostrava 3 Optional study plan
2012/2013 (B2341) Engineering (2302R007) Hydraulics and Pneumatics P Czech Ostrava 3 Optional study plan
2012/2013 (B2341) Engineering (2303R002) Mechanical Engineering Technology P Czech Ostrava 3 Optional study plan
2012/2013 (B2341) Engineering (2303R002) Mechanical Engineering Technology P Czech Šumperk 3 Optional study plan
2012/2013 (B2341) Engineering (2301R040) Industrial Engineering P Czech Ostrava 3 Optional study plan
2012/2013 (B2341) Engineering (3902R001) Applied Informatics and Control P Czech Ostrava 3 Optional study plan
2012/2013 (B2341) Engineering (3907R009) Operation of Energy Equipment P Czech Ostrava 3 Optional study plan
2012/2013 (B2341) Engineering (3904R016) Environmental Engineering P Czech Ostrava 3 Optional study plan
2012/2013 (B2341) Engineering (2301R023) Technical Diagnostics, Service and Management P Czech Ostrava 3 Optional study plan
2012/2013 (B2341) Engineering (2302R010) Design of Machines and Equipment (60) Industrial Design P Czech Ostrava 3 Optional study plan
2012/2013 (B2341) Engineering (2302R010) Design of Machines and Equipment (70) Earth, Mining and Building Machines P Czech Ostrava 3 Optional study plan
2012/2013 (B2341) Engineering (2302R010) Design of Machines and Equipment (21) Design of Production Machines and Equipment P Czech Ostrava 3 Optional study plan
2012/2013 (B2341) Engineering (3902R001) Applied Informatics and Control K Czech Ostrava 3 Optional study plan
2012/2013 (B2341) Engineering (2302R007) Hydraulics and Pneumatics K Czech Ostrava 3 Optional study plan
2012/2013 (B2341) Engineering (2303R002) Mechanical Engineering Technology K Czech Ostrava 3 Optional study plan
2012/2013 (B2341) Engineering (2303R002) Mechanical Engineering Technology K Czech Šumperk 3 Optional study plan
2012/2013 (B2341) Engineering (2301R040) Industrial Engineering K Czech Ostrava 3 Optional study plan
2012/2013 (B2341) Engineering (3907R009) Operation of Energy Equipment K Czech Ostrava 3 Optional study plan
2012/2013 (B2341) Engineering (3904R016) Environmental Engineering K Czech Ostrava 3 Optional study plan
2012/2013 (B2341) Engineering (2301R023) Technical Diagnostics, Service and Management K Czech Ostrava 3 Optional study plan
2012/2013 (B2341) Engineering (2302R010) Design of Machines and Equipment (70) Earth, Mining and Building Machines K Czech Ostrava 3 Optional study plan
2012/2013 (B2341) Engineering (2302R010) Design of Machines and Equipment (21) Design of Production Machines and Equipment K Czech Ostrava 3 Optional study plan
2012/2013 (B2341) Engineering (2301R003) Transport Equipment and Technology P Czech Ostrava 3 Optional study plan
2012/2013 (B2341) Engineering (2301R003) Transport Equipment and Technology P Czech Šumperk 3 Optional study plan
2012/2013 (B2341) Engineering (2301R003) Transport Equipment and Technology K Czech Ostrava 3 Optional study plan
2012/2013 (B2341) Engineering (2301R003) Transport Equipment and Technology K Czech Šumperk 3 Optional study plan

Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner