Course detail

Applied Mechanics of Building and Transport Machines

FSI-QAMAcad. year: 2018/2019

The course deals with the following topics: The fundamental solution methods of dynamic systems of branch machines, vibrating systems of branch machines including matrix solution methods. Computer support of the dynamic systems solution - DYNAST. Approximate solution methods of dynamic systems. Dynamics of continuous systems - vibration of prismatic bars. MKP application in dynamics. Dynamics of vibrating transport and compacting.

Learning outcomes of the course unit

The course is intended to extend student’s knowledge of technical mechanics. It is applied to real examples of the machines from the selected branch of study. Main objective is for students to acquire ability to identify the force effects in the mechanisms - when they are starting and braking, as well as ability to analyse and optimise vibrating effects in machines when using common calculating methods.


Successful completion of the course is conditional on the basic knowledge of technical mechanics, physics and higher mathematics.


Not applicable.

Recommended optional programme components

Not applicable.

Recommended or required reading

DRESIG, Hans, Franz HOLZWEIßIG, Wolf GROSSKOPF a Sven ESCHE. Dynamics of machinery: theory and applications. Heidelberg: Springer, 2010, xi, 544 s. ISBN 978-3-540-89939-6. (EN)
GROSS, Dietmar. Engineering mechanics. 3, Dynamics. Heidelberg: Springer, 2011, ix, 359 s. ISBN 978-3-642-14018-1. (EN)
ŠKOPÁN, M.:Aplikovaná mechanika stavebních a transportních strojů. Elektronické skriptum, VUT FSI Brno, 2003 (CS)
STEJSKAL, V.:Kmitání s Matlabem, skriptum ČVUT Praha, 2002, ISBN 80-01-02435-0 (CS)
GENTA, Giancarlo. Vibration dynamics and control. New York: Springer, 2008, xxiv, 855 s. : il. ISBN 978-0-387-79579-9. (EN)
STEJSKAL, V.: Mechanika III / dynamika. Skriptum ČVUT, Praha 2001, ISBN 80-01-02388-5 (CS)

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. Part of the course can be excursions to the companies, which manufacture or operate the equipments from the thematic area of education.

Assesment methods and criteria linked to learning outcomes

The examination consists of a written and an oral part. Written part of examination is evaluated by 50 points and it is necessary to get at least 20 points to continue in the oral part. Oral examination is marked independently and it is the same weight at the written part.

Language of instruction


Work placements

Not applicable.


The aim of the course is to develop the existing knowledge of mechanics and apply it to the problems of building and transport machines. These problems are solved in the area of vibration, including computer support.

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

Course-unit credit is awarded on condition of having attended the exercises actively and worked out assigned projects. Presence in the exercises is obligatory.

Classification of course in study plans

  • Programme M2I-P Master's

    branch M-ADI , 2. year of study, winter semester, 5 credits, compulsory-optional

Type of course unit



39 hours, optionally

Teacher / Lecturer


1. The fundamental solution methods of dynamic systems – method of accelerating and inertial forces
2. Application of variation principles of mechanics – Zhukovsky’s lever
3. The equation of motion of the machine, design of a balance wheel
4. Vibrating systems of branch machines – systems with 1 degree of freedom
5. Vibrating systems of branch machines – systems with 2 and more degrees of freedom
6. Damped forced vibration of systems with 2 and more degrees of freedom
7. Matrix methods in theory of linear systems with finite degrees of freedom
8. Approximate solution methods of dynamic systems
9. Dynamics of vibrating transport and sorting – movement of material
10. Dynamics of driving mechanism of vibrating conveyor, vibrating compaction
11. Computer support of the dynamic systems solution - DYNAST
12. Dynamics of continuous systems - vibration of prismatic bars
13. FEM application in dynamics

seminars in computer labs

26 hours, compulsory

Teacher / Lecturer


1. Dynamic balance of building and mobile machine, start-up
2. Method of Zhukovsky’s lever, balanced dynamic force in the mechanism
3. Design of balance wheel of machine with inconstant transmission
4. Vibrations of lifting device, calculation of torsional absorber
5. Solution of plane dynamic model of the machine
6. Design of damped damper of vibration
7. Solution of 3-D model of vibration feeder
8. Application of Rayeigh’s method and method of matrix iteration
9. Calculation of transport speed of vibration conveyer
10. Design optimization of a vibratory compactor
11. Solution of systems of common, parameter and differential equations
12. Solution of complicated systems by creating a macro-block
13. Solution of plane framework by FEM