Subject description - AE0M14DMP

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AE0M14DMP Dynamics of mechanical parts of drives
Roles:V Extent of teaching:2+2s
Department:13114 Language of teaching:CS
Guarantors:  Completion:Z,ZK
Lecturers:  Credits:4
Tutors:  Semester:Z


Subject is oriented to mathematical description and solving of dynamic processes in mechanic parts of machines and drives. Dynamics of rotational and general plane motion, effects of inertial forces on body, balancing of rotors. Vector and analytic methods of composing equations of motion of systems and their solving. Vibration in machine set and vibration effects reducing. Stress and deformation in rotating parts, critical speed of rotors. Drives characteristics and transient events in systems with driving aggregates .

Course outlines:

1. Mass distribution in space, mass moments, coordinates transformation, principal axis of inertia
2. Momentum and moment of momentum of rigid body, inertial forces and their moments, kinetic energy.
3. Equations of motion for plane motion of body
4. Dynamic effects on unbalanced rotor, reactions in bears. Balancing conditions of rotor, balancing machines.
5. Dynamic description of the body system, methods of equations of motion composition (vector and analytic)
6. Lagrange equations application for systems with one or more degrees of freedom
7. Passive and non-linear elements in mechanical systems.
8. Elastic mounting of machines, mechanical vibrations
9. Vibration effects reduction by means of proper mounting of the source, dynamic absorbers. Gyroscope.
10. Stress and deformation of elastic shafts, torsional and bending oscillations, critical speed of unbalanced rotor.
11. Stress and deformation of rotating components.
12. Static and dynamic moment characteristics of typical drives and loads.
13. Transient states in machine aggregates and their analysis.
14. Experimental methods in dynamics and elasticity.

Exercises outline:

1. Moments of inertia, products of inertia, typical examples
2. General plane motion-dynamic quantities determination
3. Equations of motion of body, analytic methods of solving
4. Simulation programs for solving equations of motion (PC laboratory)
5. Static balancing of rotors, dynamic balancing in two planes (laboratory)
6. Mathematical models of dynamic systems
7. Dynamic system simulation in commercial program (PC laboratory)
8. Kinematic quantities measurement on laboratory model of mechanical system (laboratory)
9. Parameters identification of the system by comparison between theory and experiment, passive resistances
10. Linear and non linear vibrating systems, amplitude and phase characteristics
11. Stress and deformation of elastic shafts calculation, critical speed calculation
12. Mathematical model of unbalanced and elastic mounted rotor (PC laboratory)
13. Transient events in systems with more degree of freedom.
14. Examples of complicated dynamic systems simulation (PC laboratory)


1. Beer, F. P., Johnston, E.R. Vector Mechanics for Engineers (Statics, Dynamics). Fifth Edition, Mc Graw-Hill Book Company, New York, 1988.
2. Shelley, J.F. : 700 Solved Problems in Vector Mechanics for Engineers. Mc. Graw-Hill, Inc., New York, 1990.
3. Ugural, A.C. : Mechanics of materials. Mc. Graw-Hill, Inc., New York, 1991.
4. Broch, J.T. : Mechanical Vibration and Shock Measurements. K. Larsen & SonA/S. Denmark, 1984.
5. Edwards, K.S., McKee, R.B.: Fundamentals of Mechanical Component Design. Mc. Graw-Hill, Inc., New York, 1991.


Subject is included into these academic programs:

Program Branch Role Recommended semester
MEKME1 Wireless Communication V
MEKME5 Systems of Communication V
MEKME4 Networks of Electronic Communication V
MEKME3 Electronics V
MEKME2 Multimedia Technology V
MEOI1 Artificial Intelligence V
MEOI5NEW Software Engineering V
MEOI5 Software Engineering V
MEOI4 Computer Graphics and Interaction V
MEOI3 Computer Vision and Image Processing V
MEOI2 Computer Engineering V
MEEEM1 Technological Systems V
MEEEM5 Economy and Management of Electrical Engineering V
MEEEM4 Economy and Management of Power Engineering V
MEEEM3 Electrical Power Engineering V
MEEEM2 Electrical Machines, Apparatus and Drives V
MEKYR4 Aerospace Systems V
MEKYR1 Robotics V
MEKYR3 Systems and Control V
MEKYR2 Sensors and Instrumentation V

Page updated 3.7.2020 17:51:56, semester: Z,L/2020-1, L/2019-20, Send comments about the content to the Administrators of the Academic Programs Proposal and Realization: I. Halaška (K336), J. Novák (K336)