Course detail

Fluid Power Modeling

FSI-MTMAcad. year: 2019/2020

The cours deals with the following topics: basic theory, notions and definitions of mathematical modelling of fluid power systems and displacement pumps. It gives an overview of the main simulation tools as well as electro-hydraulic analogy. Energy transfer, efficiency and characteristics are emphasised in the part concerning the displacement pumps.
Seminars include computer simulation and examples from the research applicable in industrial practice.

Learning outcomes of the course unit

Students will be able to analyse and create a mathematical model of the fluid power system element behaviour or a model of the mechanism as a whole. They will also be able to simulate this behaviour by means of a computer.


Necessary knowledge: differential and integral calculus, hydrostatics and hydrodynamics, gas mechanics, numerical mathematics, computer programming.


Not applicable.

Recommended optional programme components

Not applicable.

Recommended or required reading

NEPRAŽ, František, Josef NEVRLÝ, Václav PEŇÁZ a Karel TŘETINA. Modelování systémů s hydraulickými mechanismy. Brno: Bosch Rexroth, 2002. ISBN 80-214-2187-8.
NEVRLÝ, Josef. Modelování pneumatických systémů. Brno: Akademické nakladatelství CERM, 2003. ISBN 80-720-4300-5.

Planned learning activities and teaching methods

The course is taught through lectures explaining the basic principles and theory of the discipline. Teaching is suplemented by practical laboratory work.

Assesment methods and criteria linked to learning outcomes

Course-unit credit is awarded on the following conditions - sufficient attendance and running knowledge of the subject-matter.
Examination requirements - course-unit credit, knowledge of the subject-matter and and ability to apply it to the given examples. The exam has a written and an oral part.

Language of instruction


Work placements

Not applicable.


The aim of the course is to provide students with an ability to create mathematical and simulation models of fluid power system elements, as well as models of basic circuits of these mechanisms. Another goal is for students - to be able to predict behaviour of those systems in the design stage already.

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

Attendance at seminars is checked and possible (limited) absence may be compensated for via additional tasks.

Classification of course in study plans

  • Programme M2I-P Master's

    branch M-FLI , 2. year of study, summer semester, 4 credits, compulsory

Type of course unit



13 hours, optionally

Teacher / Lecturer


1. Hydraulic mechanisms modelling - basic concepts and definitions
2. Non-linearities, specific problems
3. Elementary hydrostatic elements modelling
4. Real hydrostatic elements modelling
5. Hydrostatic circuits modelling
6. Simulation programs, DYNAST, MATLAB
7. Simulation programs applications
8. Modelling of pulsations in hydrostatic mechanisms
9. Pneumatic mechanisms modelling - basic concepts
10. Laws of air flowing through tubing
11. Pneumatic mechanisms stationary and dynamic states modelling
12. Basic types of volume pumps
13. Modelling of hydraulic conditions for volume pumps

Laboratory exercise

13 hours, compulsory

Teacher / Lecturer


1. Resistance against motion computations.
2. Resistance against acceleration computations.
3. Resistance against deformation computations.
4. Pipeline modelling.
5. Valves modelling.
6. Examples solved by means of simulation programs.
7. Analytic computation of hydraulic mechanism acceleration and deceleration.
8. Computer simulation of hydraulic mechanism acceleration and deceleration.
9. Laboratory verification of the computer simulation of hydraulic mechanism acceleration and deceleration.
10. Pneumatic computations of a pneumatic system elements.
11. Use of a computer program for a pneumatic mechanism animation.
12. Computations of volume pumps basic types.
13. Computation of pressure and flow relations in a system equipped with a piston pump.


eLearning: opened course