337-0510/01 – FEM in Mechanics (MKPVM)

Gurantor departmentDepartment of MechanicsCredits3
Subject guarantorprof. Ing. Petr Horyl, CSc., dr.h.c.Subject version guarantorprof. Ing. Petr Horyl, CSc., dr.h.c.
Study levelundergraduate or graduateRequirementChoice-compulsory
Year1Semestersummer
Study languageCzech
Year of introduction2004/2005Year of cancellation2014/2015
Intended for the facultiesFSIntended for study typesFollow-up Master
Instruction secured by
LoginNameTuitorTeacher giving lectures
HOR80 prof. Ing. Petr Horyl, CSc., dr.h.c.
POR05 doc. Ing. Zdeněk Poruba, Ph.D.
SZW73 Ing. Jan Szweda, Ph.D.
Extent of instruction for forms of study
Form of studyWay of compl.Extent
Full-time Credit and Examination 2+2
Part-time Credit and Examination 10+10

Subject aims expressed by acquired skills and competences

Define discretization principle in deformation variant of FEM Identify importance of shape function by aproximation of displacement Characterize creation of stiffness matrix of one element Construct glabal stiffness matrix from one element matrixes, Load vector Solve matrix equation for solution eigenvalues and eigenshapes non-damping vibration Introduction to the solution of nonlinear static problems. Compute easy problem of buckling

Teaching methods

Lectures
Tutorials

Summary

1. Diskretization of mechanical structures, variable calculus in mechanics, Ritz method 2. Deformation variant of finite element method 3. One dimension stright element, shape function at bending, stiffness matrix, load vector, 4. Global stiffness matrix and global load vector, optimisation of band matrix, basic matrix equation of FEM and their solution 5. Transformation matrixes, plane and space frame structures 6. Plane and Space elements 7. Dynamic problems and FEM, mass matrix 8. Eigenfrequencies and eigenshapes of vibrations, iterations method of solutions 9. Step by steps methods; modal analysis 10.General problem statement of FEM

Compulsory literature:

Cook, R.D. et al. Concepts and Applications of Finite Element Analysis. J. Wiley&Sons,2002,pp.719,ISBN 0-471-35605-0

Recommended literature:

http://www.mece.ualberta.ca/tutorials/ansys/ ( University of Alberta, Canada)

Additional study materials

Way of continuous check of knowledge in the course of semester

E-learning

Other requirements

aaaaaaaaaaaaaaaaaaaaaaaaaaaa

Prerequisities

Subject has no prerequisities.

Co-requisities

Subject has no co-requisities.

Subject syllabus:

1. Diskretization of mechanical structures, variable calculus in mechanics, Ritz method 2. Deformation variant of finite element method 3. One dimension stright element, shape function at bending, stiffness matrix, load vector, 4. Global stiffness matrix and global load vector, optimisation of band matrix, basic matrix equation of FEM and their solution 5. Transformation matrixes, plane and space frame structures 6. Plane and Space elements 7. Dynamic problems and FEM, mass matrix 8. Eigenfrequencies and eigenshapes of vibrations, iterations method of solutions 9. Step by steps methods; modal analysis 10.General problem statement of FEM

Conditions for subject completion

Full-time form (validity from: 1960/1961 Summer semester, validity until: 2014/2015 Summer semester)
Task nameType of taskMax. number of points
(act. for subtasks)
Min. number of pointsMax. počet pokusů
Exercises evaluation and Examination Credit and Examination 100 (100) 51 3
        Exercises evaluation Credit 35  20 3
        Examination Examination 65  31 3
Mandatory attendence participation:

Show history

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

Show history

Occurrence in study plans

Academic yearProgrammeBranch/spec.Spec.ZaměřeníFormStudy language Tut. centreYearWSType of duty
2014/2015 (N2301) Mechanical Engineering (3909T001) Design and Process Engineering (40) Design of Machines and Equipment P Czech Ostrava 1 Compulsory study plan
2013/2014 (N2301) Mechanical Engineering (3909T001) Design and Process Engineering (40) Design of Machines and Equipment P Czech Ostrava 1 Compulsory study plan
2012/2013 (N2301) Mechanical Engineering (3909T001) Design and Process Engineering (20) Production Machines and Equipment P Czech Ostrava 1 Choice-compulsory study plan
2012/2013 (N2301) Mechanical Engineering (3909T001) Design and Process Engineering (35) Transport Equipment and Material Handling P Czech Ostrava 1 Choice-compulsory study plan
2012/2013 (N2301) Mechanical Engineering (3909T001) Design and Process Engineering (40) Design of Machines and Equipment P Czech Ostrava 1 Choice-compulsory study plan
2012/2013 (N2301) Mechanical Engineering (3909T001) Design and Process Engineering (70) Earth, Mining and Building Machines P Czech Ostrava 1 Choice-compulsory study plan
2012/2013 (N2301) Mechanical Engineering (3909T001) Design and Process Engineering (72) Technical Diagnostics, Repairs and Maintenance P Czech Ostrava 1 Choice-compulsory study plan
2012/2013 (N2301) Mechanical Engineering (3909T001) Design and Process Engineering (20) Production Machines and Equipment K Czech Ostrava 1 Choice-compulsory study plan
2012/2013 (N2301) Mechanical Engineering (3909T001) Design and Process Engineering (35) Transport Equipment and Material Handling K Czech Ostrava 1 Choice-compulsory study plan
2012/2013 (N2301) Mechanical Engineering (3909T001) Design and Process Engineering (70) Earth, Mining and Building Machines K Czech Ostrava 1 Choice-compulsory study plan
2012/2013 (N2301) Mechanical Engineering (3909T001) Design and Process Engineering (72) Technical Diagnostics, Repairs and Maintenance K Czech Ostrava 1 Choice-compulsory study plan
2011/2012 (N2301) Mechanical Engineering (3909T001) Design and Process Engineering (35) Transport Equipment and Material Handling K Czech Ostrava 1 Choice-compulsory study plan
2011/2012 (N2301) Mechanical Engineering (3909T001) Design and Process Engineering (72) Technical Diagnostics, Repairs and Maintenance K Czech Ostrava 1 Choice-compulsory study plan
2011/2012 (N2301) Mechanical Engineering (3909T001) Design and Process Engineering (20) Production Machines and Equipment K Czech Ostrava 1 Choice-compulsory study plan
2011/2012 (N2301) Mechanical Engineering (3909T001) Design and Process Engineering (70) Earth, Mining and Building Machines K Czech Ostrava 1 Choice-compulsory study plan
2011/2012 (N2301) Mechanical Engineering (3909T001) Design and Process Engineering (35) Transport Equipment and Material Handling P Czech Ostrava 1 Choice-compulsory study plan
2011/2012 (N2301) Mechanical Engineering (3909T001) Design and Process Engineering (40) Design of Machines and Equipment P Czech Ostrava 1 Choice-compulsory study plan
2011/2012 (N2301) Mechanical Engineering (3909T001) Design and Process Engineering (72) Technical Diagnostics, Repairs and Maintenance P Czech Ostrava 1 Choice-compulsory study plan
2011/2012 (N2301) Mechanical Engineering (3909T001) Design and Process Engineering (20) Production Machines and Equipment P Czech Ostrava 1 Choice-compulsory study plan
2011/2012 (N2301) Mechanical Engineering (3909T001) Design and Process Engineering (70) Earth, Mining and Building Machines P Czech Ostrava 1 Choice-compulsory study plan
2010/2011 (N2301) Mechanical Engineering (3909T001) Design and Process Engineering (35) Transport Equipment and Material Handling P Czech Ostrava 1 Choice-compulsory study plan
2010/2011 (N2301) Mechanical Engineering (3909T001) Design and Process Engineering (16) Hydraulics and Pneumatics P Czech Ostrava 1 Choice-compulsory study plan
2010/2011 (N2301) Mechanical Engineering (3909T001) Design and Process Engineering (72) Technical Diagnostics, Repairs and Maintenance P Czech Ostrava 1 Choice-compulsory study plan
2010/2011 (N2301) Mechanical Engineering (3909T001) Design and Process Engineering (20) Production Machines and Equipment P Czech Ostrava 1 Choice-compulsory study plan
2010/2011 (N2301) Mechanical Engineering (3909T001) Design and Process Engineering (70) Earth, Mining and Building Machines P Czech Ostrava 1 Choice-compulsory study plan
2010/2011 (N2301) Mechanical Engineering (3909T001) Design and Process Engineering (35) Transport Equipment and Material Handling K Czech Ostrava 1 Choice-compulsory study plan
2010/2011 (N2301) Mechanical Engineering (3909T001) Design and Process Engineering (16) Hydraulics and Pneumatics K Czech Ostrava 1 Choice-compulsory study plan
2010/2011 (N2301) Mechanical Engineering (3909T001) Design and Process Engineering (72) Technical Diagnostics, Repairs and Maintenance K Czech Ostrava 1 Choice-compulsory study plan
2010/2011 (N2301) Mechanical Engineering (3909T001) Design and Process Engineering (20) Production Machines and Equipment K Czech Ostrava 1 Choice-compulsory study plan
2010/2011 (N2301) Mechanical Engineering (3909T001) Design and Process Engineering (70) Earth, Mining and Building Machines K Czech Ostrava 1 Choice-compulsory study plan
2009/2010 (N2301) Mechanical Engineering (3909T001) Design and Process Engineering (70) Earth, Mining and Building Machines P Czech Ostrava 1 Choice-compulsory study plan
2009/2010 (N2301) Mechanical Engineering (3909T001) Design and Process Engineering (20) Production Machines and Equipment P Czech Ostrava 1 Choice-compulsory study plan
2009/2010 (N2301) Mechanical Engineering (3909T001) Design and Process Engineering (35) Transport Equipment and Material Handling P Czech Ostrava 1 Choice-compulsory study plan
2009/2010 (N2301) Mechanical Engineering (3909T001) Design and Process Engineering (72) Technical Diagnostics, Repairs and Maintenance P Czech Ostrava 1 Choice-compulsory study plan
2009/2010 (N2301) Mechanical Engineering (3909T001) Design and Process Engineering (20) Production Machines and Equipment K Czech Ostrava 1 Choice-compulsory study plan
2009/2010 (N2301) Mechanical Engineering (3909T001) Design and Process Engineering (35) Transport Equipment and Material Handling K Czech Ostrava 1 Choice-compulsory study plan
2009/2010 (N2301) Mechanical Engineering (3909T001) Design and Process Engineering (72) Technical Diagnostics, Repairs and Maintenance K Czech Ostrava 1 Choice-compulsory study plan
2009/2010 (N2301) Mechanical Engineering (3909T001) Design and Process Engineering (70) Earth, Mining and Building Machines K Czech Ostrava 1 Choice-compulsory study plan
2008/2009 (N2301) Mechanical Engineering (3909T001) Design and Process Engineering (10) Machines for Mining and Treating Commercial Raw Materials P Czech Ostrava 1 Choice-compulsory study plan
2008/2009 (N2301) Mechanical Engineering (3909T001) Design and Process Engineering (20) Production Machines and Equipment P Czech Ostrava 1 Choice-compulsory study plan
2008/2009 (N2301) Mechanical Engineering (3909T001) Design and Process Engineering (30) Earth Moving and Building Machines P Czech Ostrava 1 Choice-compulsory study plan
2008/2009 (N2301) Mechanical Engineering (3909T001) Design and Process Engineering (35) Transport Equipment and Material Handling P Czech Ostrava 1 Choice-compulsory study plan
2008/2009 (N2301) Mechanical Engineering (3909T001) Design and Process Engineering (40) Design of Machines and Equipment P Czech Ostrava 1 Choice-compulsory study plan
2008/2009 (N2301) Mechanical Engineering (3909T001) Design and Process Engineering (72) Technical Diagnostics, Repairs and Maintenance P Czech Ostrava 1 Choice-compulsory study plan
2008/2009 (N2301) Mechanical Engineering (3909T001) Design and Process Engineering (10) Machines for Mining and Treating Commercial Raw Materials K Czech Ostrava 1 Choice-compulsory study plan
2008/2009 (N2301) Mechanical Engineering (3909T001) Design and Process Engineering (20) Production Machines and Equipment K Czech Ostrava 1 Choice-compulsory study plan
2008/2009 (N2301) Mechanical Engineering (3909T001) Design and Process Engineering (30) Earth Moving and Building Machines K Czech Ostrava 1 Choice-compulsory study plan
2008/2009 (N2301) Mechanical Engineering (3909T001) Design and Process Engineering (35) Transport Equipment and Material Handling K Czech Ostrava 1 Choice-compulsory study plan
2008/2009 (N2301) Mechanical Engineering (3909T001) Design and Process Engineering (72) Technical Diagnostics, Repairs and Maintenance K Czech Ostrava 1 Choice-compulsory study plan
2008/2009 (N2301) Mechanical Engineering (2301T013) Robotics P Czech Ostrava 1 Choice-compulsory study plan
2008/2009 (N2301) Mechanical Engineering (2301T013) Robotics K Czech Ostrava 1 Choice-compulsory study plan
2007/2008 (N2301) Mechanical Engineering (2301T032) Production Systems with Industrial Robots and Manipulators P Czech Ostrava 1 Choice-compulsory study plan
2007/2008 (N2301) Mechanical Engineering (3909T001) Design and Process Engineering (10) Machines for Mining and Treating Commercial Raw Materials P Czech Ostrava 1 Choice-compulsory study plan
2007/2008 (N2301) Mechanical Engineering (3909T001) Design and Process Engineering (20) Production Machines and Equipment P Czech Ostrava 1 Choice-compulsory study plan
2007/2008 (N2301) Mechanical Engineering (3909T001) Design and Process Engineering (30) Earth Moving and Building Machines P Czech Ostrava 1 Choice-compulsory study plan
2007/2008 (N2301) Mechanical Engineering (3909T001) Design and Process Engineering (35) Transport Equipment and Material Handling P Czech Ostrava 1 Choice-compulsory study plan
2007/2008 (N2301) Mechanical Engineering (3909T001) Design and Process Engineering (40) Design of Machines and Equipment P Czech Ostrava 1 Choice-compulsory study plan
2007/2008 (N2301) Mechanical Engineering (3909T001) Design and Process Engineering (72) Technical Diagnostics, Repairs and Maintenance P Czech Ostrava 1 Choice-compulsory study plan
2007/2008 (N2301) Mechanical Engineering (3909T001) Design and Process Engineering (10) Machines for Mining and Treating Commercial Raw Materials K Czech Ostrava 1 Choice-compulsory study plan
2007/2008 (N2301) Mechanical Engineering (3909T001) Design and Process Engineering (20) Production Machines and Equipment K Czech Ostrava 1 Choice-compulsory study plan
2007/2008 (N2301) Mechanical Engineering (3909T001) Design and Process Engineering (30) Earth Moving and Building Machines K Czech Ostrava 1 Choice-compulsory study plan
2007/2008 (N2301) Mechanical Engineering (3909T001) Design and Process Engineering (35) Transport Equipment and Material Handling K Czech Ostrava 1 Choice-compulsory study plan
2007/2008 (N2301) Mechanical Engineering (3909T001) Design and Process Engineering (72) Technical Diagnostics, Repairs and Maintenance K Czech Ostrava 1 Choice-compulsory study plan
2007/2008 (N2301) Mechanical Engineering (2301T032) Production Systems with Industrial Robots and Manipulators K Czech Ostrava 1 Choice-compulsory study plan
2007/2008 (N2301) Mechanical Engineering (2301T013) Robotics P Czech Ostrava 1 Choice-compulsory study plan
2007/2008 (N2301) Mechanical Engineering (2301T013) Robotics K Czech Ostrava 1 Choice-compulsory study plan
2006/2007 (N2301) Mechanical Engineering (2301T032) Production Systems with Industrial Robots and Manipulators P Czech Ostrava 1 Choice-compulsory study plan
2006/2007 (N2301) Mechanical Engineering (3909T001) Design and Process Engineering (10) Machines for Mining and Treating Commercial Raw Materials P Czech Ostrava 1 Choice-compulsory study plan
2006/2007 (N2301) Mechanical Engineering (3909T001) Design and Process Engineering (20) Production Machines and Equipment P Czech Ostrava 1 Choice-compulsory study plan
2006/2007 (N2301) Mechanical Engineering (3909T001) Design and Process Engineering (30) Earth Moving and Building Machines P Czech Ostrava 1 Choice-compulsory study plan
2006/2007 (N2301) Mechanical Engineering (3909T001) Design and Process Engineering (35) Transport Equipment and Material Handling P Czech Ostrava 1 Choice-compulsory study plan
2006/2007 (N2301) Mechanical Engineering (3909T001) Design and Process Engineering (40) Design of Machines and Equipment P Czech Ostrava 1 Choice-compulsory study plan
2006/2007 (N2301) Mechanical Engineering (3909T001) Design and Process Engineering (72) Technical Diagnostics, Repairs and Maintenance P Czech Ostrava 1 Choice-compulsory study plan
2006/2007 (N2301) Mechanical Engineering (3909T001) Design and Process Engineering (10) Machines for Mining and Treating Commercial Raw Materials K Czech Ostrava 1 Choice-compulsory study plan
2006/2007 (N2301) Mechanical Engineering (3909T001) Design and Process Engineering (20) Production Machines and Equipment K Czech Ostrava 1 Choice-compulsory study plan
2006/2007 (N2301) Mechanical Engineering (3909T001) Design and Process Engineering (30) Earth Moving and Building Machines K Czech Ostrava 1 Choice-compulsory study plan
2006/2007 (N2301) Mechanical Engineering (3909T001) Design and Process Engineering (35) Transport Equipment and Material Handling K Czech Ostrava 1 Choice-compulsory study plan
2006/2007 (N2301) Mechanical Engineering (3909T001) Design and Process Engineering (72) Technical Diagnostics, Repairs and Maintenance K Czech Ostrava 1 Choice-compulsory study plan
2006/2007 (N2301) Mechanical Engineering (2301T032) Production Systems with Industrial Robots and Manipulators K Czech Ostrava 1 Choice-compulsory study plan
2005/2006 (N2301) Mechanical Engineering (2301T032) Production Systems with Industrial Robots and Manipulators P Czech Ostrava 1 Choice-compulsory study plan
2005/2006 (N2301) Mechanical Engineering (3909T001) Design and Process Engineering (10) Machines for Mining and Treating Commercial Raw Materials P Czech Ostrava 1 Choice-compulsory study plan
2005/2006 (N2301) Mechanical Engineering (3909T001) Design and Process Engineering (20) Production Machines and Equipment P Czech Ostrava 1 Choice-compulsory study plan
2005/2006 (N2301) Mechanical Engineering (3909T001) Design and Process Engineering (30) Earth Moving and Building Machines P Czech Ostrava 1 Choice-compulsory study plan
2005/2006 (N2301) Mechanical Engineering (3909T001) Design and Process Engineering (35) Transport Equipment and Material Handling P Czech Ostrava 1 Choice-compulsory study plan
2005/2006 (N2301) Mechanical Engineering (3909T001) Design and Process Engineering (40) Design of Machines and Equipment P Czech Ostrava 1 Choice-compulsory study plan
2005/2006 (N2301) Mechanical Engineering (3909T001) Design and Process Engineering (72) Technical Diagnostics, Repairs and Maintenance P Czech Ostrava 1 Choice-compulsory study plan
2005/2006 (N2301) Mechanical Engineering (3909T001) Design and Process Engineering (10) Machines for Mining and Treating Commercial Raw Materials K Czech Ostrava 1 Choice-compulsory study plan
2005/2006 (N2301) Mechanical Engineering (3909T001) Design and Process Engineering (16) Hydraulics and Pneumatics K Czech Ostrava 1 Choice-compulsory study plan
2005/2006 (N2301) Mechanical Engineering (3909T001) Design and Process Engineering (20) Production Machines and Equipment K Czech Ostrava 1 Choice-compulsory study plan
2005/2006 (N2301) Mechanical Engineering (3909T001) Design and Process Engineering (30) Earth Moving and Building Machines K Czech Ostrava 1 Choice-compulsory study plan
2005/2006 (N2301) Mechanical Engineering (3909T001) Design and Process Engineering (35) Transport Equipment and Material Handling K Czech Ostrava 1 Choice-compulsory study plan
2005/2006 (N2301) Mechanical Engineering (3909T001) Design and Process Engineering (40) Design of Machines and Equipment K Czech Ostrava 1 Choice-compulsory study plan
2005/2006 (N2301) Mechanical Engineering (3909T001) Design and Process Engineering (72) Technical Diagnostics, Repairs and Maintenance K Czech Ostrava 1 Choice-compulsory study plan
2005/2006 (N2301) Mechanical Engineering (2301T032) Production Systems with Industrial Robots and Manipulators K Czech Ostrava 1 Choice-compulsory study plan
2004/2005 (N2301) Mechanical Engineering (2301T032) Production Systems with Industrial Robots and Manipulators P Czech Ostrava 1 Choice-compulsory study plan
2004/2005 (N2301) Mechanical Engineering (3909T001) Design and Process Engineering (10) Machines for Mining and Treating Commercial Raw Materials P Czech Ostrava 1 Choice-compulsory study plan
2004/2005 (N2301) Mechanical Engineering (3909T001) Design and Process Engineering (20) Production Machines and Equipment P Czech Ostrava 1 Choice-compulsory study plan
2004/2005 (N2301) Mechanical Engineering (3909T001) Design and Process Engineering (30) Earth Moving and Building Machines P Czech Ostrava 1 Choice-compulsory study plan
2004/2005 (N2301) Mechanical Engineering (3909T001) Design and Process Engineering (35) Transport Equipment and Material Handling P Czech Ostrava 1 Choice-compulsory study plan
2004/2005 (N2301) Mechanical Engineering (3909T001) Design and Process Engineering (40) Design of Machines and Equipment P Czech Ostrava 1 Choice-compulsory study plan
2004/2005 (N2301) Mechanical Engineering (3909T001) Design and Process Engineering (72) Technical Diagnostics, Repairs and Maintenance P Czech Ostrava 1 Choice-compulsory study plan
2004/2005 (N2301) Mechanical Engineering (3909T001) Design and Process Engineering (16) Hydraulics and Pneumatics P Czech Ostrava 1 Choice-compulsory study plan
2004/2005 (N2301) Mechanical Engineering (3909T001) Design and Process Engineering (10) Machines for Mining and Treating Commercial Raw Materials K Czech Ostrava 1 Choice-compulsory study plan
2004/2005 (N2301) Mechanical Engineering (3909T001) Design and Process Engineering (20) Production Machines and Equipment K Czech Ostrava 1 Choice-compulsory study plan
2004/2005 (N2301) Mechanical Engineering (3909T001) Design and Process Engineering (30) Earth Moving and Building Machines K Czech Ostrava 1 Choice-compulsory study plan
2004/2005 (N2301) Mechanical Engineering (3909T001) Design and Process Engineering (35) Transport Equipment and Material Handling K Czech Ostrava 1 Choice-compulsory study plan
2004/2005 (N2301) Mechanical Engineering (3909T001) Design and Process Engineering (40) Design of Machines and Equipment K Czech Ostrava 1 Choice-compulsory study plan
2004/2005 (N2301) Mechanical Engineering (3909T001) Design and Process Engineering (72) Technical Diagnostics, Repairs and Maintenance K Czech Ostrava 1 Choice-compulsory study plan
2004/2005 (N2301) Mechanical Engineering (3909T001) Design and Process Engineering (16) Hydraulics and Pneumatics K Czech Ostrava 1 Choice-compulsory study plan
2004/2005 (N2301) Mechanical Engineering (2301T032) Production Systems with Industrial Robots and Manipulators K Czech Ostrava 1 Choice-compulsory study plan

Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner

Assessment of instruction



2013/2014 Summer