Course detail

Solution of Basic Problems of Solids Mechanics by FEM

FSI-6KPAcad. year: 2022/2023

Students during lectures become familiar with the theoretical foundations of the finite element method, with the essence of numerical computational modelling and with fundamental practical knowledge, which are applied to typical problems of solid mechanics. Practical tasks are divided by 1D, 2D, and 3D level of geometry. Dominantly, the subject is focused on linear static structural analysis, but also an introduction to dynamic analyses and analyses of heat conduction will be presented. The above will be practiced in the ANSYS Workbench computing software. The necessary knowledge of the subject is:

  1. ability to work with ANSYS Workbench software,
  2. understanding of the correct level of the computational model (inclusion of essential variables),
  3. analysis/assessment/verification of the obtained results,
  4. theoretical basement of FEM.

Language of instruction

Czech

Number of ECTS credits

4

Mode of study

Not applicable.

Guarantor

doc. Ing. Tomáš Návrat, Ph.D.

Department

Institute of Solid Mechanics, Mechatronics and Biomechanics (ÚMTMB)

Learning outcomes of the course unit

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.

Prerequisites

Matrix notation, linear algebra, function of one and more variables, calculus, elementary dynamics, elasticity and thermal conduction.

Co-requisites

Not applicable.

Planned learning activities and teaching methods

The course is taught through lectures explaining the basic principles and theory of the discipline. Exercises are focused on practical topics presented in lectures.

Assesment methods and criteria linked to learning outcomes

The graded course-unit credit requirements :

- active participation in seminars,

- 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.

 

Course curriculum

Not applicable.

Work placements

Not applicable.

Aims

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.

Specification of controlled education, way of implementation and compensation for absences

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.

Recommended optional programme components

Not applicable.

Prerequisites and corequisites

Not applicable.

Basic literature

DESAI, Chandrakant S a Tribikram KUNDU. Introductory finite element method. Boca Raton: CRC Press, 2001, 496 s. : il. ISBN 0-8493-0243-9. (EN)
Zienkiewicz, O. C., et al. Finite Element Method For Solid & Structural Mechanics. Elsevier India 7th edition, 2014. ISBN-10: 9789351072829 (EN)

Recommended reading

Not applicable.

Elearning

eLearning: currently opened course

Classification of course in study plans

  • Programme B-MET-P Bachelor's 3 year of study, winter semester, compulsory

  • Programme B-STR-P Bachelor's

    specialization KSB , 3 year of study, winter semester, compulsory
    specialization SSZ , 3 year of study, winter semester, compulsory

  • Programme B-ZSI-P Bachelor's

    specialization STI , 3 year of study, winter semester, compulsory-optional

  • Programme B-FIN-P Bachelor's 3 year of study, winter semester, elective
  • Programme B-VTE-P Bachelor's 3 year of study, winter semester, compulsory
  • Programme N-MAI-P Master's 1 year of study, winter semester, elective

  • Programme LLE Lifelong learning

    branch CZV , 1 year of study, winter semester, compulsory-optional

Type of course unit

 

Lecture

26 hod., optionally

Teacher / Lecturer

Ing. Petr Vosynek, Ph.D.
doc. Ing. Tomáš Návrat, Ph.D.
Ing. Dávid Halabuk, Ph.D.

Syllabus

  • 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

26 hod., compulsory

Teacher / Lecturer

Ing. Petr Boháč
doc. Ing. Tomáš Návrat, Ph.D.
Ing. Jaroslav Kovář, Ph.D.
Ing. Ondřej Pavlík

Syllabus

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

Elearning

eLearning: currently opened course