Course detail

Dynamics of Machine Tools

FSI-GDV-KAcad. year: 2025/2026

Machine-tool as any other product of human activity has to meet some functional and operational parameters. The aim of the machine-tools is to enable technological working processes of machining and forming opera-tions, which give the product their shapened size. The working processes are mechanical procedures and they can be ensured by corresponding types of machine-tools (forming, machining).
The machine-tool has to be satisfactory mainly from the manufacturing (i.e. machining and finishing) point of view. Other view points and criteria include the quality of produced components and entire machines. It is very important to ensure operational reliability and durability of tools and individual parts of machine.These properties of machine-tools are given by the dynamic properties of their mechanical systems.

Language of instruction

Czech

Number of ECTS credits

4

Mode of study

Not applicable.

Guarantor

Ing. Pavel Švancara, Ph.D.

Department

Institute of Solid Mechanics, Mechatronics and Biomechanics (ÚMTMB)

Entry knowledge

Mathematics:
linear algebra, matrix arithmetic, Fourier transformation, spectral and modal properties of the structures, methods of creation of equation of motion, differential equations, finite element method.
Physics:
acoustic fundamentals, acoustic quantities (pressure, intenzity, power), acoustic signals, acoustic fields, signal spectra.

Rules for evaluation and completion of the course

Course-unit credit requirements: 100% presence on the exercises, in case of the orderly excused absence is necessary to solve the given problems.
Final examination: The examination is carried out in the form of a cross-sectional written test. Making the correct answer to less than half of the questions is a reason not to pass the exam. The specific form of the exam, types, number of questions or examples and details of the assessment will be given by the lecturer during the semester.


Attendance at practical training is obligatory. The inspection of the education is carried out systematically, on the exercises the notification about the presence into list of students. The student preparedness for the exercises is carried out individually for some students, optionally by means of a short test. The absent exercise in a case an orderly excuse is necessary to carry out the completion of missing problems and optionally by solving a compensatory examples.

Aims

The analysis of the dynamic machine-tool system, analysis and modeling of dynamic phenomenon of working processes of machine-tools, modeling of their mechanical system and make out of computational model to be needed.
The analyses of possibilities how the dynamic properties of machine-tools to influence in desire direction.
Students will obtain integrated overview about dynamic properties and characteristics of machine-tools of various design. They will understand to the spectral and modal properties of machines and which are crucial for stable and failure-free operation. The knowledge to be obtained the students than will able to apply in the practice when to construct a highly powerful and reliable machine-tools.

Study aids

Not applicable.

Prerequisites and corequisites

Not applicable.

Basic literature

B. Rudolf, M.Kopecký: Tvářecí stroje, , 0
E. Kramer: Maschinendynamik, , 0
S.A.Tobias: Schwingungen an Werkzeugmachinen, , 0

Recommended reading

B. Pacas: Aplikovaná mechanika, , 0
J. Slavkovský: Dynamika výrobných strojöv, , 0
V. Mišun: Dynamika výrobních strojů, , 0

Classification of course in study plans

  • Programme N-VSR-K Master's 1 year of study, winter semester, compulsory

Type of course unit

 

Guided consultation in combined form of studies

13 hod., compulsory

Teacher / Lecturer

Ing. Pavel Švancara, Ph.D.

Syllabus

1. The dynamic machine-tool structure
2. The mathematical models of the mechanical machine-tool’s system – direct methods
3. The mathematical models of the mechanical machine-tool’s system – computer methods
4.-6. Dynamic characteristics of linear mechanical systems:
a) spectral and modal properties
b) time and frequency characteristics
c) dynamic systems stability
7.-8. Vibrations of the machine-tools:
forced harmonically, forced periodically, impulse forced, random forced
9. Self-excited vibrations
10. Damping in machine-tool vibrations
11. Experimental examination of the machine dynamic properties
12. Drives of machine-tools
13. Noise of machine-tools

Guided consultation

26 hod., optionally

Teacher / Lecturer

Ing. Pavel Švancara, Ph.D.

Syllabus

1. The models of mechanics systems
2. The methods for creation of equations of motion
3. The methods for creation of equations of motion
-continue
4. Finite element method
5. Spectral and modal properties of mechanical systems
6. - continue
7. Dynamic systems stability
8. Vibrations of the machine-tools: forced harmonically
9. Self-excited vibrations
10. Experimental examination of the machine dynamic properties
11. Drives of machine-tools
12. Noise of machine-tools
13. Credit