330-0505/01 – FEM I (MKP I)

Gurantor departmentDepartment of Applied MechanicsCredits4
Subject guarantordoc. Ing. Martin Fusek, Ph.D.Subject version guarantordoc. Ing. Martin Fusek, Ph.D.
Study levelundergraduate or graduateRequirementCompulsory
Year2Semesterwinter
Study languageCzech
Year of introduction2015/2016Year of cancellation2023/2024
Intended for the facultiesFSIntended for study typesFollow-up Master
Instruction secured by
LoginNameTuitorTeacher giving lectures
FUS76 doc. Ing. Martin Fusek, Ph.D.
ROJ71 Ing. Jaroslav Rojíček, Ph.D.
SOT0036 Ing. Martin Šotola, Ph.D.
Extent of instruction for forms of study
Form of studyWay of compl.Extent
Full-time Graded credit 2+2
Part-time Graded credit 12+4

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.

Teaching methods

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.

Additional study materials

Way of continuous check of knowledge in the course of semester

Examination paper - test. Autonomous working about problem solution.

E-learning

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

Full-time form (validity from: 2015/2016 Winter semester, validity until: 2022/2023 Summer semester)
Task nameType of taskMax. number of points
(act. for subtasks)
Min. number of pointsMax. počet pokusů
Graded credit Graded credit 100  51 3
Mandatory attendence participation:

Show history

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

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Occurrence in study plans

Academic yearProgrammeBranch/spec.Spec.ZaměřeníFormStudy language Tut. centreYearWSType of duty
2023/2024 (N2301) Mechanical Engineering (2301T013) Robotics P Czech Ostrava 2 Compulsory study plan
2022/2023 (N2301) Mechanical Engineering (2302T043) Hydraulics and Pneumatics P Czech Ostrava 2 Compulsory study plan
2022/2023 (N2301) Mechanical Engineering (2301T013) Robotics P Czech Ostrava 2 Compulsory study plan
2022/2023 (N2301) Mechanical Engineering (2302T043) Hydraulics and Pneumatics K Czech Ostrava 2 Compulsory study plan
2022/2023 (N2301) Mechanical Engineering (2301T013) Robotics K Czech Ostrava 2 Compulsory study plan
2021/2022 (N2301) Mechanical Engineering (2302T043) Hydraulics and Pneumatics P Czech Ostrava 2 Compulsory study plan
2021/2022 (N2301) Mechanical Engineering (2302T043) Hydraulics and Pneumatics K Czech Ostrava 2 Compulsory study plan
2021/2022 (N2301) Mechanical Engineering (2301T013) Robotics P Czech Ostrava 2 Compulsory study plan
2021/2022 (N2301) Mechanical Engineering (2301T013) Robotics K Czech Ostrava 2 Compulsory study plan
2020/2021 (N2301) Mechanical Engineering (2301T013) Robotics P Czech Ostrava 2 Compulsory study plan
2020/2021 (N2301) Mechanical Engineering (2302T043) Hydraulics and Pneumatics P Czech Ostrava 2 Compulsory study plan
2020/2021 (N2301) Mechanical Engineering (2301T013) Robotics K Czech Ostrava 2 Compulsory study plan
2020/2021 (N2301) Mechanical Engineering (2302T043) Hydraulics and Pneumatics K Czech Ostrava 2 Compulsory study plan
2019/2020 (N2301) Mechanical Engineering (2301T013) Robotics P Czech Ostrava 2 Compulsory study plan
2019/2020 (N2301) Mechanical Engineering (2302T043) Hydraulics and Pneumatics P Czech Ostrava 2 Compulsory study plan
2019/2020 (N2301) Mechanical Engineering (2301T013) Robotics K Czech Ostrava 2 Compulsory study plan
2019/2020 (N2301) Mechanical Engineering (2302T043) Hydraulics and Pneumatics K Czech Ostrava 2 Compulsory study plan
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

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner

Assessment of instruction



2022/2023 Winter
2021/2022 Winter
2020/2021 Winter
2019/2020 Winter
2018/2019 Winter
2017/2018 Winter
2015/2016 Winter