Course detail

Fluid Power Modeling

FSI-MTMAcad. year: 2026/2027

The cours deals with the following topics: basic theory, notions and definitions of mathematical modelling of fluid power systems. 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 complement lectures.

Language of instruction

Czech

Number of ECTS credits

4

Assignment to study programme types

Master's

Mode of study

Not applicable.

Guarantor

prof. Ing. František Pochylý, CSc.

Department

Energy Institute (EÚ)

Entry knowledge

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

Rules for evaluation and completion of the course

Course-unit credit is awarded on the following conditions - sufficient attendance and running knowledge of the subject-matter.Examination.

Examination requirements - course-unit credit, knowledge of the subject-matter and ability to apply it to the given examples. The exam has a written and an oral part. The oral exam is not compulsory. It is used for the classification finishing. The overall evaluation is according to the ECTS scale.

Aims

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.
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.

Study aids

Not applicable.

Prerequisites and corequisites

Not applicable.

Basic literature

AKERS, Arthur, Max GASSMAN a Richard John SMITH. Hydraulic power system analysis. Boca Raton, FL: CRC Press, 2006. ISBN 978-0824799564. (EN)
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.
WATTON, John. Fundamentals of fluid power control. New York: Cambridge University Press, 2009. ISBN 05-217-6250-2. (EN)

Recommended reading

AKERS, Arthur, Max GASSMAN a Richard John SMITH. Hydraulic power system analysis. Boca Raton, FL: CRC Press, 2006. ISBN 978-0824799564. (EN)
WATTON, John. Fundamentals of fluid power control. New York: Cambridge University Press, 2009. ISBN 05-217-6250-2. (EN)

Classification of course in study plans

  • Programme N-ETI-P Master's

    specialization FLI , 2 year of study, summer semester, compulsory

  • Programme C-AKR-P Lifelong learning

    specialization CLS , 1 year of study, summer semester, elective

Type of course unit

 

Lecture

13 hours, optionally

Teacher / Lecturer

prof. Ing. František Pochylý, CSc.

Syllabus

  1. Hydraulic mechanisms mathematical modelling - basic concepts and definitions, non-linearities, specific problems.
  2. Mathematical modelling of elementary hydraulic elements.
  3. Transfer functions and system stability.
  4. Mathematical model of hydraulic rotary pump.
  5. Mathematical model of hydraulic motor.
  6. Speed regulation of hydraulic motor.
  7. Mathematical model of hydraulic cylinder.
  8. Mathematical model of hydraulic accumulator.
  9. Mathematical models of control elements and hydraulic lines.
  10. Laws of air flowing through tubing, air spring stiffness.
  11. Mathematical model of pneumatic cylinder.
  12. Mathematical model of pneumatic vane motor.
  13. Energy conversion resistances, flow and throttle calculation in a pneumatic system.

Laboratory exercise

13 hours, compulsory

Teacher / Lecturer

prof. Ing. František Pochylý, CSc.

Syllabus

  1. Resistance against motion computations.
  2. Resistance against acceleration computations.
  3. Resistance against deformation computations.
  4. Pipeline modelling.
  5. Valves modelling.
  6. Determination of amplitude frequency response and maximum amplitude of resonance peak.
  7. Linear mathematical model and step response of the system.
  8. Analytic computation of hydraulic mechanism acceleration and deceleration.
  9. Forced oscillations in the hydraulic circuit.
  10. Calculation of natural frequency of linear hydraulic motor.
  11. Pneumatic computations of a pneumatic system elements.
  12. Description of mathematical model of simple hydraulic circuit.
  13. Computation of pressure and flow relations in a system equipped with a piston pump.