Course detail

Dynamics of Rotor Systems

FSI-9DRSAcad. year: 2023/2024

In this course, students will be acquainted with dynamic behavior of components and parts of rotor systems. Attention is paid to the critical speed prediction and possibilities of reducing vibrations of rotating machines, as well as determination of characteristics of the links between rotating and non-rotating parts. These characteristics tend to be non-linear, so attention is also paid to linearization. In addition, the students will be acquainted with the possibilities of data processing obtained during measurement of vibrations of rotating machines

Language of instruction


Number of ECTS credits


Mode of study

Not applicable.

Entry knowledge

Students must be able to solve the eigen value problem, solve the response in forced, steady and transient oscillations of systems with n degrees of freedom. Furthermore, the students must to have knowledge of the basics of nonlinear vibrations, and knowledge of the basics of experimental modal analysis.

Rules for evaluation and completion of the course

The students will solve the semester tasks, which are necessary e for awarding the course-unit credit. In the last week of the semester students will write the exam tests. This test consists of 10 questions, where 2 points are the maximum for each question. It is necessary to obtain minimum 10 points. 19-20 - excelent
16-18 – very good
14-15 - good
12-13 - satisfactory
10-11 - sufficent
0-9 – failed
In case of unsatisfactory evaluation, the second part of the exam is oral. The results of semester assignments will be taken into account for final evaluation.
Longer absence is compensated for by special tasks according to instructions of the tutor. Seminar credits are awarded on the condition of: active presence in the seminars, good results of seminar tests on basic knowledge, solution of additional tasks in case of longer excusable absence. Seminar tutor will specify the concrete form of these conditions in the first week of semester.


The course is focused on explanation of the theoretical basis of rotor systems dynamics. It is focused on computational and experimental modeling of dynamic properties. Exercise takes place on a computer, it solves practical problems occurring in rotary machines. Furthermore, the course is focused on obtaining the necessary information from the measured data.
Students will acquire knowledge of rotor systems. The graduate will be able to perform the analysis of vibrations of rotating machines and predict resonance states. In addition, they will be able to determine the probable cause of vibration based on the processing of measured data and propose adjustments to reduce them.

Study aids

Not applicable.

Prerequisites and corequisites

Not applicable.

Basic literature

Erwin Kramer: Dynamics of Rotors and Foundations. Springer verlag, 2005
Gasch, Pfutzner: Dynamika rotorů, SNTL Praha, 1980 (CS)

Recommended reading

Not applicable.

Classification of course in study plans

  • Programme D-IME-P Doctoral, 1. year of study, summer semester, recommended
  • Programme D-IME-K Doctoral, 1. year of study, summer semester, recommended
  • Programme D-ENE-K Doctoral, 1. year of study, summer semester, recommended
  • Programme D-ENE-P Doctoral, 1. year of study, summer semester, recommended

Type of course unit



20 hours, optionally

Teacher / Lecturer


1. Introduction to rotor systems, basic models of rotors
2. Undamped Laval (Jeffcott) rotor in rigid and flexible bearing supports
3. Laval (Jeffcott) rotor with external and internal damping. Roro stability
4. Joints between rotating and non-rotating parts (bearings, shock absorbers, sealing joints).
5. Vibration of bladed disks, Campbell diagram
6. Vibration of the non-attenuated rotor taking into account gyroscopic effects,
7. Rotor balancing
8. Methods of reduction of dynamic systems
9. Dynamics of discs and rotary periodic structures
10. Methods of solution of nonlinear rotor dynamic systems
11. Analysis and evaluation of vibrations in rotary machines
12. Rotor with noncircular cross section
13. Optimization in rotordynamics