339-0312/01 – Introduction to FEM (UMKP)

Gurantor departmentDepartment of Mechanics of MaterialsCredits2
Subject guarantorprof. Ing. Radim Halama, Ph.D.Subject version guarantorprof. Ing. Radim Halama, Ph.D.
Study levelundergraduate or graduateRequirementCompulsory
Year3Semestersummer
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, Ph.D.
FOJ08 doc. Ing. František Fojtík, Ph.D.
FRY72 prof. Ing. Karel Frydrýšek, Ph.D.
FUS76 doc. Ing. Martin Fusek, Ph.D.
HAL22 prof. 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
Part-time 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

Other requirements

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

Part-time form (validity from: 1960/1961 Summer semester, validity until: 2014/2015 Winter semester)
Task nameType of taskMax. number of points
(act. for subtasks)
Min. number of pointsMax. počet pokusů
Graded exercises evaluation Graded credit 100 (100) 0 3
        Project Project 50  0 3
        Other task type Other task type 50  0 3
Mandatory attendence participation:

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Conditions for subject completion and attendance at the exercises within ISP:

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2010/2011 (B2341) Engineering (2302R010) Design of Machines and Equipment (70) Earth, Mining and Building Machines K Czech Ostrava 3 Compulsory study plan
2010/2011 (B2341) Engineering (2303R002) Mechanical Engineering Technology (70) Mechanical Engineering Technology K Czech Ostrava 3 Compulsory study plan
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2010/2011 (B2341) Engineering (2301R002) Transport Equipment K Czech Šumperk 3 Compulsory study plan
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2010/2011 (B2341) Engineering (3708R028) Transport Technology (20) Surface Transport K Czech Ostrava 3 Compulsory study plan
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2010/2011 (B2341) Engineering (2301R023) Technical Diagnostics, Service and Management (70) Technical Diagnostics, Repairs and Maintenance K Czech Ostrava 3 Compulsory study plan
2010/2011 (B2341) Engineering (2302R003) Transport Machinery and Material Handling K Czech Ostrava 3 Compulsory study plan
2010/2011 (B2341) Engineering (2302R010) Design of Machines and Equipment (20) Production Machines and Equipment K Czech Ostrava 3 Compulsory study plan
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2009/2010 (B2341) Engineering (3708R028) Transport Technology (20) Surface Transport P Czech Ostrava 3 Compulsory study plan
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2009/2010 (B2341) Engineering (3904R016) Environmental Engineering (70) Environmental Engineering P Czech Ostrava 3 Compulsory study plan
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2009/2010 (B2341) Engineering (2301R023) Technical Diagnostics, Service and Management (70) Technical Diagnostics, Repairs and Maintenance P Czech Ostrava 3 Compulsory study plan
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2009/2010 (B2341) Engineering (2302R010) Design of Machines and Equipment (40) Design of Machines and Equipment P Czech Ostrava 3 Compulsory study plan
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2009/2010 (B2341) Engineering (2302R010) Design of Machines and Equipment (30) Earth Moving and Building Machines P Czech Ostrava 3 Compulsory study plan
2009/2010 (B2341) Engineering (2303R002) Mechanical Engineering Technology (70) Mechanical Engineering Technology P Czech Ostrava 3 Compulsory study plan
2009/2010 (B2341) Engineering (2303R002) Mechanical Engineering Technology (70) Mechanical Engineering Technology P Czech Šumperk 3 Compulsory study plan
2009/2010 (B2341) Engineering (2302R010) Design of Machines and Equipment (60) Design of industrial products P Czech Ostrava 3 Compulsory study plan
2009/2010 (B2341) Engineering (2301R040) Industrial Engineering P Czech Ostrava 3 Optional study plan
2009/2010 (B2341) Engineering (2303R002) Mechanical Engineering Technology (70) Mechanical Engineering Technology K Czech Ostrava 3 Compulsory study plan
2009/2010 (B2341) Engineering (2303R002) Mechanical Engineering Technology (70) Mechanical Engineering Technology K Czech Šumperk 3 Compulsory study plan
2009/2010 (B2341) Engineering (3902R001) Applied Informatics and Control (70) Applied Informatics and Control K Czech Ostrava 3 Compulsory study plan
2009/2010 (B2341) Engineering (2301R002) Transport Equipment K Czech Ostrava 3 Compulsory study plan
2009/2010 (B2341) Engineering (2301R002) Transport Equipment K Czech Šumperk 3 Compulsory study plan
2009/2010 (B2341) Engineering (3708R028) Transport Technology (20) Surface Transport K Czech Ostrava 3 Compulsory study plan
2009/2010 (B2341) Engineering (3907R004) Energy Management K Czech Ostrava 3 Compulsory study plan
2009/2010 (B2341) Engineering (3904R016) Environmental Engineering (70) Environmental Engineering K Czech Ostrava 3 Compulsory study plan
2009/2010 (B2341) Engineering (2301R013) Robotics (70) Robotics K Czech Ostrava 3 Compulsory study plan
2009/2010 (B2341) Engineering (2301R023) Technical Diagnostics, Service and Management (70) Technical Diagnostics, Repairs and Maintenance K Czech Ostrava 3 Compulsory study plan
2009/2010 (B2341) Engineering (2302R003) Transport Machinery and Material Handling K Czech Ostrava 3 Compulsory study plan
2009/2010 (B2341) Engineering (2302R010) Design of Machines and Equipment (20) Production Machines and Equipment K Czech Ostrava 3 Compulsory study plan
2009/2010 (B2341) Engineering (2302R010) Design of Machines and Equipment (30) Earth Moving and Building Machines K Czech Ostrava 3 Compulsory study plan
2009/2010 (B2341) Engineering (2302R010) Design of Machines and Equipment (50) Hunting, Sporting, Defense Arms and Ammunition K Czech Uherský Brod 3 Compulsory study plan
2009/2010 (B2341) Engineering (2302R010) Design of Machines and Equipment (70) Earth, Mining and Building Machines K Czech Ostrava 3 Compulsory study plan
2009/2010 (B2341) Engineering (2302R010) Design of Machines and Equipment (70) Earth, Mining and Building Machines P Czech Ostrava 3 Compulsory study plan
2009/2010 (B2341) Engineering (2301R040) Industrial Engineering K Czech Ostrava 3 Optional study plan
2008/2009 (B2341) Engineering (3901R003) Applied Mechanics P Czech Ostrava 3 Compulsory study plan
2008/2009 (B2341) Engineering (3902R001) Applied Informatics and Control (70) Applied Informatics and Control P Czech Ostrava 3 Compulsory study plan
2008/2009 (B2341) Engineering (2301R002) Transport Equipment P Czech Šumperk 3 Compulsory study plan
2008/2009 (B2341) Engineering (2301R002) Transport Equipment P Czech Ostrava 3 Compulsory study plan
2008/2009 (B2341) Engineering (3708R028) Transport Technology (20) Surface Transport P Czech Ostrava 3 Compulsory study plan
2008/2009 (B2341) Engineering (3907R004) Energy Management P Czech Ostrava 3 Compulsory study plan
2008/2009 (B2341) Engineering (3904R016) Environmental Engineering (70) Environmental Engineering P Czech Ostrava 3 Compulsory study plan
2008/2009 (B2341) Engineering (2301R013) Robotics (70) Robotics P Czech Ostrava 3 Compulsory study plan
2008/2009 (B2341) Engineering (2301R023) Technical Diagnostics, Service and Management (70) Technical Diagnostics, Repairs and Maintenance P Czech Ostrava 3 Compulsory study plan
2008/2009 (B2341) Engineering (2302R003) Transport Machinery and Material Handling P Czech Ostrava 3 Compulsory study plan
2008/2009 (B2341) Engineering (2302R010) Design of Machines and Equipment (10) Machines for Mining and Treating Commercial Raw Materials P Czech Ostrava 3 Compulsory study plan
2008/2009 (B2341) Engineering (2302R010) Design of Machines and Equipment (40) Design of Machines and Equipment P Czech Ostrava 3 Compulsory study plan
2008/2009 (B2341) Engineering (2302R010) Design of Machines and Equipment (20) Production Machines and Equipment P Czech Ostrava 3 Compulsory study plan
2008/2009 (B2341) Engineering (2302R010) Design of Machines and Equipment (30) Earth Moving and Building Machines P Czech Ostrava 3 Compulsory study plan
2008/2009 (B2341) Engineering (2303R002) Mechanical Engineering Technology (70) Mechanical Engineering Technology P Czech Ostrava 3 Compulsory study plan
2008/2009 (B2341) Engineering (2303R002) Mechanical Engineering Technology (70) Mechanical Engineering Technology P Czech Šumperk 3 Compulsory study plan
2008/2009 (B2341) Engineering (2303R002) Mechanical Engineering Technology (70) Mechanical Engineering Technology K Czech Šumperk 3 Compulsory study plan
2008/2009 (B2341) Engineering (2303R002) Mechanical Engineering Technology (70) Mechanical Engineering Technology K Czech Ostrava 3 Compulsory study plan
2008/2009 (B2341) Engineering (2303R002) Mechanical Engineering Technology (70) Mechanical Engineering Technology K Czech Třinec 3 Compulsory study plan
2008/2009 (B2341) Engineering (3902R001) Applied Informatics and Control (70) Applied Informatics and Control K Czech Ostrava 3 Compulsory study plan
2008/2009 (B2341) Engineering (2301R002) Transport Equipment K Czech Šumperk 3 Compulsory study plan
2008/2009 (B2341) Engineering (2301R002) Transport Equipment K Czech Ostrava 3 Compulsory study plan
2008/2009 (B2341) Engineering (3708R028) Transport Technology (20) Surface Transport K Czech Ostrava 3 Compulsory study plan
2008/2009 (B2341) Engineering (3907R004) Energy Management K Czech Ostrava 3 Compulsory study plan
2008/2009 (B2341) Engineering (3907R004) Energy Management K Czech Třinec 3 Compulsory study plan
2008/2009 (B2341) Engineering (3904R016) Environmental Engineering (70) Environmental Engineering K Czech Ostrava 3 Compulsory study plan
2008/2009 (B2341) Engineering (2301R013) Robotics (70) Robotics K Czech Ostrava 3 Compulsory study plan
2008/2009 (B2341) Engineering (2301R023) Technical Diagnostics, Service and Management (70) Technical Diagnostics, Repairs and Maintenance K Czech Ostrava 3 Compulsory study plan
2008/2009 (B2341) Engineering (2302R003) Transport Machinery and Material Handling K Czech Ostrava 3 Compulsory study plan
2008/2009 (B2341) Engineering (2302R010) Design of Machines and Equipment (10) Machines for Mining and Treating Commercial Raw Materials K Czech Ostrava 3 Compulsory study plan
2008/2009 (B2341) Engineering (2302R010) Design of Machines and Equipment (20) Production Machines and Equipment K Czech Ostrava 3 Compulsory study plan
2008/2009 (B2341) Engineering (2302R010) Design of Machines and Equipment (20) Production Machines and Equipment K Czech Třinec 3 Compulsory study plan
2008/2009 (B2341) Engineering (2302R010) Design of Machines and Equipment (30) Earth Moving and Building Machines K Czech Ostrava 3 Compulsory study plan
2008/2009 (B2341) Engineering (2302R010) Design of Machines and Equipment (50) Hunting, Sporting, Defense Arms and Ammunition K Czech Uherský Brod 3 Compulsory study plan
2008/2009 (B2341) Engineering (2302R010) Design of Machines and Equipment (60) Design of industrial products P Czech Ostrava 3 Compulsory study plan
2008/2009 (B2341) Engineering (2301R040) Industrial Engineering P Czech Ostrava 3 Optional study plan
2008/2009 (B2341) Engineering (2301R040) Industrial Engineering K Czech Ostrava 3 Optional study plan

Occurrence in special blocks

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Assessment of instruction



2012/2013 Summer
2011/2012 Summer
2010/2011 Summer
2009/2010 Summer