330-0505/01 – FEM I (MKP I)

 Gurantor department Department of Applied Mechanics Credits 4 Subject guarantor doc. Ing. Martin Fusek, Ph.D. Subject version guarantor doc. Ing. Martin Fusek, Ph.D. Study level undergraduate or graduate Requirement Compulsory Year 2 Semester winter Study language Czech Year of introduction 2015/2016 Year of cancellation 2022/2023 Intended for the faculties FS Intended for study types Follow-up Master
Instruction secured by
FUS76 doc. Ing. Martin Fusek, Ph.D.
ROJ71 Ing. Jaroslav Rojíček, Ph.D.
Extent of instruction for forms of study
Form of studyWay of compl.Extent

Subject aims expressed by acquired skills and competences

Teach a students the basic procedures for solving of ground technical problems of continuum mechanics. Ensure understanding of teaching problems. To learn the students if they can apply gained theoretical peaces of knowledge in praxis.

Lectures
Tutorials

Summary

This subject forms the grounds for using of finite elements methods in technical praxis. The subject formulates the nonlinear mechanics of continuum. The grounds are: general formulations of continuum mechanics, the grounds of linearization, introduction to variational methods, finally the application of finite elements method for concrete types of problems of linear mechanics of materials.

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

Examination paper - test. Autonomous working about problem solution.

no

Other requirements

Examination paper - test. Autonomous working about problem solution.

Prerequisities

Subject has no prerequisities.

Co-requisities

Subject has no co-requisities.

Subject syllabus:

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.

Conditions for subject completion

Part-time form (validity from: 2015/2016 Winter semester, validity until: 2022/2023 Summer semester)
Min. number of points
Mandatory attendence parzicipation:

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Occurrence in study plans

Academic yearProgrammeField of studySpec.ZaměřeníFormStudy language Tut. centreYearWSType of duty
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2020/2021 (N2301) Mechanical Engineering (2302T043) Hydraulics and Pneumatics P Czech Ostrava 2 Compulsory study plan
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2019/2020 (N2301) Mechanical Engineering (2301T013) Robotics P Czech Ostrava 2 Compulsory study plan
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2019/2020 (N2301) Mechanical Engineering (2301T013) Robotics K Czech Ostrava 2 Compulsory study plan
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2018/2019 (N2301) Mechanical Engineering (2301T013) Robotics P Czech Ostrava 2 Compulsory study plan
2018/2019 (N2301) Mechanical Engineering (2301T013) Robotics K Czech Ostrava 2 Compulsory study plan
2018/2019 (N2301) Mechanical Engineering (2302T043) Hydraulics and Pneumatics P Czech Ostrava 2 Compulsory study plan
2018/2019 (N2301) Mechanical Engineering (2302T043) Hydraulics and Pneumatics K Czech Ostrava 2 Compulsory study plan
2017/2018 (N2301) Mechanical Engineering (2301T013) Robotics P Czech Ostrava 2 Compulsory study plan
2017/2018 (N2301) Mechanical Engineering (2302T043) Hydraulics and Pneumatics P Czech Ostrava 2 Compulsory study plan
2017/2018 (N2301) Mechanical Engineering (2301T013) Robotics K Czech Ostrava 2 Compulsory study plan
2017/2018 (N2301) Mechanical Engineering (2302T043) Hydraulics and Pneumatics K Czech Ostrava 2 Compulsory study plan
2016/2017 (N2301) Mechanical Engineering (2301T013) Robotics P Czech Ostrava 2 Compulsory study plan
2016/2017 (N2301) Mechanical Engineering (2301T013) Robotics K Czech Ostrava 2 Compulsory study plan
2015/2016 (N2301) Mechanical Engineering (2302T043) Hydraulics and Pneumatics P Czech Ostrava 1 Compulsory study plan
2015/2016 (N2301) Mechanical Engineering (2301T013) Robotics P Czech Ostrava 2 Compulsory study plan
2015/2016 (N2301) Mechanical Engineering (2302T043) Hydraulics and Pneumatics K Czech Ostrava 1 Compulsory study plan
2015/2016 (N2301) Mechanical Engineering (2301T013) Robotics K Czech Ostrava 2 Compulsory study plan

Occurrence in special blocks

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