Course detail

Project - Computational Modelling

FSI-ZP6Acad. year: 2025/2026

The subject provides an overview of theoretical modeling and numerical simulation fundamentals at solution of several tasks from mechanics of rigid and deformable solids (e.g. bended beam with notch, kinematics and dynamics of catapult, peak force at mass body fall onto solid body, natural frequencies of machine parts). Emphasis is placed on development of creative thinking to understand all important aspects of computational modeling, from conceptual design of the model, the definition of boundary conditions, actual solution, discussion of results, and simple experimental verification. Teaching is based on team-based solution of a series of real-world problems. The course integrates the knowledge gained in the theoretical undergraduate courses in programming, mathematics, engineering mechanics, elasticity and strength. It enhances students’ ability to apply the acquired knowledge to the solution of selected problems.

Language of instruction

Czech

Number of ECTS credits

6

Mode of study

Not applicable.

Guarantor

Ing. Petr Šperka, Ph.D.

Department

Institute of Machine and Industrial Design (ÚK)

Entry knowledge

Knowledge of solid mechanics (statics), mathematics and programming.

Rules for evaluation and completion of the course

Conditions for successful accomplishment of seminars (0-100 points, the minimum required points are 50):

  • active participation in the exercises in the form of consultations (min. 10 points out of 20),
  • submission of a project in the required scope (min. 40 points out of 80).

Conditions for obtaining the examination (0-100 points, the minimum required points are 50):

  • team defense of the project in front of the committee (min. 20 points out of 40),
  • individual technical discussion in front of the committee on an issue related to the project and linked to the required prerequisites (min. 30 points out of 60),

up to 100 points in total, the final classification is given according to the ECTS scale.

Lecture: participation is recommended.

Exercises, laboratory exercises: attendance is compulsory and supervised by the lecturer; a maximum of two absences is allowed. In case of prolonged absence, the teacher is responsible for making up missed classes.

Aims

Students will understand the principles of computational modelling and simulation of real systems and will be able to apply knowledge of statics, kinematics, dynamics, elasticity and strength to a real problem.

  • Knowledge of mechanical systems modelling theory.
  • Ability to work in team and solve real-world problems.
  • Ability to analyze a real system and build a computational model.
  • Ability to accept simplifications and estimate uncertainties and errors of a computational model.
  • Ability to present and discuss results, compare theoretical model with experiment.

Study aids

Not applicable.

Prerequisites and corequisites

Not applicable.

Basic literature

HŘEBÍČEK, J., Z. POSPÍŠIL a J. URBÁNEK. Úvod do matematického modelování s využitím Maple. první. Brno: Akademické nakladatelství CERM, 2010. 120 s. ISBN 978-80-7204-691-1. (CS)
HIBBELER, R. C. a K. B. YAP. Engineering mechanics: statics. Fourteenth edition in SI units. Hoboken: Pearson, 2017. ISBN 978-1-292-08923-2. (EN)
NOSKIEVIČ, P. Modelování a identifikace systémů. Ostrava: Montanex, 1999, 276 s. ISBN 80-7225-030-2.  (CS)
PELÁNEK, R. Modelování a simulace komplexních systémů: jak lépe porozumět světu. Brno: Masarykova univerzita, 2011. ISBN 978-80-210-5318-2. (CS)

Recommended reading

BHATTACHARYYA, B. Engineering Mechanics. Oxford University Press, 2nd Edition. 2014. ISBN 978-1-68015-881-6. [Online] Dostupná z: https://app.knovel.com/hotlink/toc/id:kpEME0000R/engineering-mechanics/engineering-mechanics (EN)

Classification of course in study plans

  • Programme B-KSI-P Bachelor's 1 year of study, summer semester, compulsory

Type of course unit

 

Lecture

14 hod., optionally

Teacher / Lecturer

Ing. Petr Šperka, Ph.D.

Syllabus

  • Introduction to modelling. Essentials of modelling theory.
  • Theory of experiment and similarity.
  • Methodology of computational modelling.
  • Software for computational modelling.
  • Methods of model analysis.

Laboratory exercise

12 hod., compulsory

Teacher / Lecturer

Ing. Petr Šperka, Ph.D.

Syllabus

Experimental results of solved problems will be obtained in the laboratory.

Computer-assisted exercise

52 hod., compulsory

Teacher / Lecturer

Ing. Petr Šperka, Ph.D.

Syllabus

  • Force distribution, trusses and struts buckling.
  • Static loading of a notched component.
  • Combined stresses.
  • Dynamic effects of mass.
  • Dynamics of a body with rotational and linear motion.
  • Kinematics of body motion in the earth's gravitational field.
  • Kinematics of point masses motion.