Course detail

Dynamics of Machine Tools

FSI-GDVAcad. year: 2020/2021

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.

Learning outcomes of the course unit

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.


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.


Not applicable.

Recommended optional programme components

Not applicable.

Recommended or required reading

K. Mungus, K. Popp: Schwingungen, Springer, 2005
V. Mišun: Dynamika výrobních strojů, CERM, 2003
M. Kopecký, B. Rudolf: Tvářecí stroje, ČVUT, 1991

Planned learning activities and teaching methods

The course is taught through lectures explaining the basic principles and theory of the discipline. Exercises are focused on practical topics presented in lectures.

Assesment methods and criteria linked to learning outcomes

The claims for credit:
100% presence on the exercises, in the case of not excused absence enough to solve some alternate problem.
The fundamental condition for exam start is notation of the credit in the index. The exam itself contains of the written part and oral one. The written part consists of subjects-matter of dynamic machine-tools. To work out a correct answer to one question only there is reason to not obtain the exam. The oral part help to the tuning and better correction of objective evaluation of global student’s knowledges about given problems.
The exam is accepted by fulfillment the first exam part on 85% and the two next parts every on 75%.

Language of instruction


Work placements

Not applicable.


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.

Specification of controlled education, way of implementation and compensation for absences

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.

Classification of course in study plans

  • Programme N-VSR-P Master's, 1. year of study, winter semester, 4 credits, compulsory

  • Programme M2V-P Master's

    branch M-VSY , 1. year of study, winter semester, 4 credits, compulsory

Type of course unit



26 hours, optionally

Teacher / Lecturer


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


13 hours, compulsory

Teacher / Lecturer


1. The models of mechanics systems
2. The methods for creation of equations of motion
3. The methods for creation of equations of motion
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