470-8725/01 – Computer Modelling (PM AVAT)

Gurantor departmentDepartment of Applied MathematicsCredits4
Subject guarantordoc. Ing. Dalibor Lukáš, Ph.D.Subject version guarantordoc. Ing. Dalibor Lukáš, Ph.D.
Study levelundergraduate or graduateRequirementCompulsory
Year2Semestersummer
Study languageCzech
Year of introduction2015/2016Year of cancellation
Intended for the facultiesUSP, FSIntended for study typesBachelor
Instruction secured by
LoginNameTuitorTeacher giving lectures
FOL0037 Ing. Ladislav Foltyn
LUK76 doc. Ing. Dalibor Lukáš, Ph.D.
Extent of instruction for forms of study
Form of studyWay of compl.Extent
Full-time Credit and Examination 2+2

Subject aims expressed by acquired skills and competences

Graduate students will be able: - to use actively new terms in the field of computer modeling necessary for understanding of modern computational methods - to solve standard engineering problems in mechanics using FEM - to apply different discretization techniques to the numerical solution of selected engineering problems.

Teaching methods

Lectures
Tutorials

Summary

Within this subject students will become familiar with new terms in the field of computer modeling necessary for understanding of modern computational methods. They will study different approaches of solving basic problems in mechanics using Finite Element Method and further they will try their application to selected problems from technical practice.

Compulsory literature:

[1] COOK R. D., MALKUS D.S., PLESHA M.E., WITT R.J. CONCEPTS AND APPLICATIONS OF FINITE ELEMENT ANALYSIS. 4th edition. J. Wiley & Sons, Inc. NY, 2002, p. 719, ISBN 0-471-35605-0.

Recommended literature:

[1] REDDY, J. N. An introduction to the finite element method. 2nd Edition. McGraw-Hill, 1993.

Way of continuous check of knowledge in the course of semester

Test (10 pts.) Project (20 pts.)

E-learning

Další požadavky na studenta

There are no other requirements on a student.

Prerequisities

Subject has no prerequisities.

Co-requisities

Subject has no co-requisities.

Subject syllabus:

Content: 1. Principle of FEM in static problems, discretization, deformation parameters. 2. Stiffness matrix of a truss element, load vector. 3. Assembling of global matrices and vectors, fundamental matrix equation in statics. 4. Solution of displacement and reactions in practical exercises with truss elements. 5. Transformation from the local to the global coordinate system. 6. Applications for lattice design. 7. Beam element stiffness matrix and application statics on the plane frames. 8. Mathematical formulation of the Finite Element Method (weak formulation of the problem, its discretization, solving the linear system of equations). 9. Finite differences method and its application to solving selected statics and transient problems of mechanics. 10. Introduction of boundary element methods and its applications. 11. Introduction of discrete elements and its applications. 12. Error analysis (a prior and a posterior estimates), visualization tools.

Conditions for subject completion

Full-time form (validity from: 2015/2016 Summer semester)
Task nameType of taskMax. number of points
(act. for subtasks)
Min. number of points
Credit and Examination Credit and Examination 100 (100) 51
        Credit Credit 30  15
        Examination Examination 70  21
Mandatory attendence parzicipation:

Show history

Occurrence in study plans

Academic yearProgrammeField of studySpec.ZaměřeníFormStudy language Tut. centreYearWSType of duty
2020/2021 (B0588A170003) Applied Sciences and Technologies P Czech Ostrava 2 Compulsory study plan
2019/2020 (B0588A170003) Applied Sciences and Technologies P Czech Ostrava 2 Compulsory study plan
2018/2019 (B3968) Applied Sciences and Technologies (3901R076) Applied Sciences and Technologies P Czech Ostrava 2 Compulsory study plan
2017/2018 (B3968) Applied Sciences and Technologies (3901R076) Applied Sciences and Technologies P Czech Ostrava 2 Compulsory study plan
2016/2017 (B3968) Applied Sciences and Technologies (3901R076) Applied Sciences and Technologies P Czech Ostrava 2 Compulsory study plan
2015/2016 (B3968) Applied Sciences and Technologies (3901R076) Applied Sciences and Technologies P Czech Ostrava 2 Compulsory study plan

Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner