Course detail

Dynamics IV - Rotor Systems

FSI-RRS Acad. year: 2026/2027 Winter semester

Students are introduced to the fundamental dynamic properties and dynamic behavior of structural assemblies and components of rotor systems—specifically shafts, turbines, compressor blades, and disks. Core dynamic characteristics covered in the course include determination of natural frequencies and modes of rotors and disks, and identification of the critical speeds of rotating machines. 

Language of instruction

Czech

Number of ECTS credits

3

Supervisor

doc. Ing. Stanislav Věchet, Ph.D.

Department

Institute of Solid Mechanics, Mechatronics and Biomechanics

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. The student must know, matrix calculus, linear algebra, differential equations, fundamentals of the finite element method.

Rules for evaluation and completion of the course

Credit is awarded for active participation in exercises and earning at least 50 out of 100 points in the final test. Details regarding the test format, number and types of problems, and evaluation criteria are provided by the lecturer during the semester. Participation in exercises is mandatory and monitored. Unexcused absence is a reason for failing to obtain credit. The final grade follows the ECTS system.

Aims

The aim is to introduce students to the fundamentals of rotor dynamics and enable them to analyze stability and critical speeds. Emphasis is placed on computational modeling of rotor systems. Students become familiar with basic models of rotors, disks, and bladed disks, and their analysis in both the time and frequency domains.  

The study programmes with the given course

Programme N-IMB-P: Engineering Mechanics and Biomechanics, Master's
specialization BIO: Biomechanics, compulsory

Programme N-IMB-P: Engineering Mechanics and Biomechanics, Master's
specialization IME: Engineering Mechanics, compulsory

Type of course unit

 

Lecture

13 hours, optionally

Syllabus


  • Introduction to rotor systems, basic rotor models

  • Laval (Jeffcott) rotor on rigid and flexible bearings

  • Rotor vibration including gyroscopic effects

  • Laval rotor with external and internal damping

  • Introduction to rotor system stability analysis

  • Rotor balancing

  • Vibration of bladed disks, Campbell diagram

Computer-assisted exercise

13 hours, compulsory

Syllabus


  • Determination of critical speeds using basic rotor models

  • Simulation of rotor dynamic response in time and frequency domains

  • Simulation of rotor behavior supported in bearings

  • Vibration of disks and bladed disks