# 330-0514/01 – FEM in Mechanics (MKPVM)

 Gurantor department Department of Applied Mechanics Credits 3 Subject guarantor prof. Ing. Petr Horyl, CSc., dr.h.c. Subject version guarantor prof. Ing. Petr Horyl, CSc., dr.h.c. Study level undergraduate or graduate Requirement Compulsory Year 1 Semester summer Study language Czech Year of introduction 2015/2016 Year of cancellation Intended for the faculties FS Intended for study types Follow-up Master
Instruction secured by
HOR80 prof. Ing. Petr Horyl, CSc., dr.h.c.
MAW007 Ing. Pavel Maršálek, Ph.D.
POR05 doc. Ing. Zdeněk Poruba, 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 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

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)

### E-learning

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### 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: 2015/2016 Winter semester)
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 (N2301) Mechanical Engineering (3909T001) Design and Process Engineering (40) Design of Machines and Equipment P Czech Ostrava 1 Compulsory study plan
2018/2019 (N2301) Mechanical Engineering (3909T001) Design and Process Engineering (40) Design of Machines and Equipment P Czech Ostrava 1 Compulsory study plan
2017/2018 (N2301) Mechanical Engineering (3909T001) Design and Process Engineering (40) Design of Machines and Equipment P Czech Ostrava 1 Compulsory study plan
2016/2017 (N2301) Mechanical Engineering (3909T001) Design and Process Engineering (40) Design of Machines and Equipment P Czech Ostrava 1 Compulsory study plan
2015/2016 (N2301) Mechanical Engineering (3909T001) Design and Process Engineering (40) Design of Machines and Equipment P Czech Ostrava 1 Compulsory study plan

### Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner