Course detail

Dynamics V - Selected Chapters

FSI-R5DAcad. year: 2026/2027

This course extends the knowledge gained in Dynamics IV and focuses on advanced modeling and analysis of rotor systems as complex structural assemblies. Teaching centers on the interaction between rotating and stationary components, including the dynamic properties of bearings, dampers, seals, and entire assemblies. Students learn advanced stability assessment methods, operating-state analysis of rotors, and detailed vibration analysis of bladed disks including the use of cyclic symmetry. The course also covers vibroacoustics, providing theoretical and practical knowledge of acoustics, acoustic measurement techniques, and numerical modeling of vibroacoustic systems using deterministic, statistical, and hybrid methods (FEM, BEM, SEA). Students learn to identify vibration and noise sources, predict their propagation, and design effective mitigation measures. 

Language of instruction

Czech

Number of ECTS credits

4

Mode of study

Not applicable.

Entry knowledge

Students must be able to solve eigenvalue problems, analyze forced, steady-state, and transient vibration of multi-degree-of-freedom systems, understand fundamentals of nonlinear vibration and basics of experimental modal analysis. Knowledge of matrix calculus, linear algebra, differential equations, and fundamentals of finite element methods is required.

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 on the final test. Details regarding the test (question types, number of examples, evaluation rules) are explained during the semester. Attendance in exercises is mandatory; unexcused absence results in denial of credit. Makeup requirements are determined by the exercise instructor. Final grading follows the ECTS scale. 

Aims

The course aims to familiarize students with advanced rotor dynamics, especially modeling of complex couplings between rotating and stationary parts, stability evaluation, and detailed analysis of rotor and bladed-disk vibration using cyclic symmetry. Students learn advanced DOF-reduction methods and their application in MATLAB, Python, and ANSYS.

The course also introduces acoustics and vibroacoustics, focusing on acoustic quantities, noise sources, and numerical modeling using deterministic, statistical, and hybrid approaches. Graduates will be able to identify and assess sources of vibration and noise, perform computational analyses of rotor and vibroacoustic systems, and design effective mitigation measures.

Study aids

Not applicable.

Prerequisites and corequisites

Not applicable.

Basic literature

Erwin Kramer: Dynamics of Rotors and Foundations , Springer Verlag, 1993
Gasch, Pfutzner: Dynamika rotorů, SNTL Praha, 1980.
M.I. Friswell, J.E.T. Penny, S.D. Garvey and A.W. Lees Dynamics of Rotating Machines. Cambridge University Press, 2010, 512 pp., ISBN 9780521850162 (EN)
R. Gasch, R. Nordmann, H. Pfützner. Rotordynamik. Rotor Dynamics, Springer Berlin 2014, ISBN 3662311828. (EN)

Recommended reading

Not applicable.

Classification of course in study plans

  • Programme N-IMB-P Master's

    specialization IME , 2 year of study, winter semester, compulsory

Type of course unit

 

Lecture

13 hod., optionally

Teacher / Lecturer

Syllabus

  • Interaction between rotating and stationary parts (bearings, dampers, seals)
  • Rotor vibration including gyroscopic effects
  • Laval (Jeffcott) rotor: stability assessment with various damping types
  • Vibration of bladed disks, Campbell diagram
  • Acoustic quantities, wave equation and its solutions, mechanical and aerodynamic noise sources
  • Measurement of acoustic quantities
  • Deterministic vibroacoustic models: FEM, BEM
  • Statistical vibroacoustic models (SEA), hybrid models (FEM+SEA)

Computer-assisted exercise

13 hod., compulsory

Teacher / Lecturer

Syllabus

  • Simulation and analysis of rotor run-up
  • Rotor analysis in time and frequency domains
  • Rotor simulations including bearing dynamic properties
  • Vibration of disks and bladed disks
  • Modeling of bladed disks using cyclic symmetry
  • Degree-of-freedom reduction methods in MATLAB, Python, and ANSYS
  • Propagation of acoustic waves in open and closed spaces
  • Acoustic radiation from vibrating structures and radiated acoustic power
  • Acoustic wave transmission through various wall types