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 graduateRequirementCompulsory
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
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

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)

Way of continuous check of knowledge in the course of semester

E-learning

Další požadavky na studenta

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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: 1960/1961 Summer semester, validity until: 2014/2015 Summer semester)
Task nameType of taskMax. number of points
(act. for subtasks)
Min. number of points
Exercises evaluation and Examination Credit and Examination 100 (100) 51
        Exercises evaluation Credit 35  20
        Examination Examination 65  31
Mandatory attendence parzicipation:

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Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner