Solution of Basic Problems of Solids Mechanics by FEM (FSI-6KP)

Academic year 2024/2025
Supervisor: doc. Ing. Tomáš Návrat, Ph.D.  
Supervising institute: ÚMTMB all courses guaranted by this institute
Teaching language: Czech
Aims of the course unit:

The objective of the course is to present theoretical background of FEM and its practical application to various problems of continuum mechanics. Practical training is done with the commercial FE system ANSYS, which is frequently used at universities, scientific institutions and industrial companies worldwide.

Students gain basic theoretical and practical knowledge of the Finite Element Method. They learn how to use it for solving continuum mechanics problems in complicated two- and three dimensional regions. The acquired knowledge is applicable in all areas of solid mechanics, for students of all branches of engineering study.
Learning outcomes and competences:
 
Prerequisites:
 
Course contents:
 
Teaching methods and criteria:
 
Assesment methods and criteria linked to learning outcomes:

The graded course-unit credit requirements :

- active participation in seminars,

- knowledge check in the form of a test task,

- individual preparation and presentation of seminar assignments,

- good results in the written test of basic knowledge.


The teacher will specify the specific form of assessment in the first week of the semester.

 


Attendance at practical training is obligatory. Attendance is checked systematically by the teachers, as well as students’ active participation in the seminars and fundamental knowledge. Unexcused absence is the cause for not awarding the course-unit credit.
Controlled participation in lessons:
 
Type of course unit:
    Lecture  13 × 2 hrs. optionally                  
    Computer-assisted exercise  13 × 2 hrs. compulsory                  
Course curriculum:
    Lecture

  • Introduction to finite element method

  • Theory of finite element method

  • Beam elements: frames, truss structure

  • Plane elements: Plane stress, plane strain and axisymmetric

  • Solid and shell elements

  • Creation of mesh, control of mesh density, influence of discretization on results

  • Solution of dynamic problems - modal, harmonic and transient problems

  • Introduction to program system ABAQUS

  • Thermal conduction problems in ANSYS

  • Basic knowledge on the "art of modelling"
    Computer-assisted exercise

1 - 7



  • Introduction of ANSYS Workbench

  • Beam element, truss

  • Plane elements (plane-stress, plane-strain, axisymmetric body)

  • Solid and shell elements

  • Steady-state and transient thermal analysis

  • Finding natural frequencies and mode shapes

  • Dynamic analysis


8 - 12



  • Solving of a given project under the supervision of lecturer


13



  • Presentation of project work by students
Literature - fundamental:
1. Zienkiewicz, O. C., et al. Finite Element Method For Solid & Structural Mechanics. Elsevier India 7th edition, 2014. ISBN-10: 9789351072829
2. DESAI, Chandrakant S a Tribikram KUNDU. Introductory finite element method. Boca Raton: CRC Press, 2001, 496 s. : il. ISBN 0-8493-0243-9.
3. PETRUŠKA Jindřich. Počítačové metody mechaniky II. FSI VUT, Brno, 2001
4. Moaveni, S. Finite Element Analysis: Theory and Applications with ANSYS. Prentice Hall, 2nd edition, 2003
5. LI, Hua a Shantanu S. MULAY. Meshless methods and their numerical properties. Boca Raton: CRC Press, 2017. ISBN 978-1-138-07231-2.
6. Szabó Barna, Babuska, Ivo, Finite Element Analysis : Method, Verification and Validation. John Wiley & Sons, Incorporated, 2021
The study programmes with the given course:
Programme Study form Branch Spec. Final classification   Course-unit credits     Obligation     Level     Year     Semester  
N-MAI-P full-time study --- no specialisation -- GCr 4 Elective 2 1 W
B-FIN-P full-time study --- no specialisation -- GCr 4 Elective 1 3 W
B-MET-P full-time study --- no specialisation -- Cr,Ex 4 Compulsory 1 3 W
B-STR-P full-time study KSB Quality, Reliability and Safety -- Cr,Ex 4 Compulsory 1 3 W
B-STR-P full-time study SSZ Machine and Equipment Construction -- Cr,Ex 4 Compulsory 1 3 W
B-VTE-P full-time study --- no specialisation -- Cr,Ex 4 Compulsory 1 3 W
B-ZSI-P full-time study STI Fundamentals of Mechanical Engineering -- GCr 4 Compulsory-optional 1 3 W
B-KSI-P full-time study --- no specialisation -- Cr,Ex 4 Compulsory 1 3 W