Course: Dynamics

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Course title Dynamics
Course code KME/D
Organizational form of instruction Lecture + Tutorial
Level of course Bachelor
Year of study not specified
Semester Winter and summer
Number of ECTS credits 6
Language of instruction Czech
Status of course Compulsory
Form of instruction Face-to-face
Work placements This is not an internship
Recommended optional programme components None
  • Zeman Vladimír, Prof. Ing. DrSc.
Course content
1. Dynamics of a rigid body. Equations of motion and inertia forces. Rotor dynamic balancing. Reactions at the rotor support. 2. Spherical motion of a rigid body. Kinetic energy, inertia forces, reactions at the gyroscope support. 3. Plane, spatial and screw motion of a rigid body. Kinetic energy, inertia forces and reactions at the support. 4. Dynamics of multibody systems. Number degrees of freedom. Kinetic solving. 5. Balancing of mechanisms. Centric and excentric body impact, submission of the credit problem. 6. Mathematical modelling of multibody, system motion using Lagrange´s equations. Irregularity of machine running. 7. Mathematical modelling of multibody system motion using Lagrange´s equations of mixed type. Computer simulation of motion. 8. Principles of vibration theory. Mathematical models of linear systems with one degree of freedom. Longitudinal, torsional and bending free vibration. 9. Forces vibration of linear systems with one degree of freedom. Transient vibration and steady vibration under harmonic and periodic excitation. Method of Laplace transformation. Forced vibration excited by rotating imbalance and kinematicaly. 10. Mathematical modelling of linear systems whit two and more degrees of freedom in the matrix form. Natural frequencies and modes. Spectral and modal matrices. 11. Modal method for investigation of free and forced vibration of undamped linear systems with more degrees of freedom. Calculation of dynamic response of undamped system with two degrees of freedom. 12. Modelling of one-dimensional continuum vibration using finite element method. Transverse vibrations of the beams. 13. Steady vibration caused harmonic and periodic excitation. Frequency characteristics. Steady harmonic vibration of frame.

Learning activities and teaching methods
Lecture, Practicum
  • Preparation for an examination (30-60) - 60 hours per semester
  • Undergraduate study programme term essay (20-40) - 40 hours per semester
  • Contact hours - 65 hours per semester
professional knowledge
Student knows - statics and kinematics of mass points and rigid bodies, - dynamics of mass points, - vector and matrix calculus - principles of linear algebra, - principles of differential and integral calculus.
learning outcomes
Student - classifies a rigid body motion in term of kinematics for investigation of its dynamic properties, - applies the method of dynamic equilibrium and Lagrange´s equations for investigation of mechanical system motion, - analyses dynamic properties of mechanisms, - investigates the vibrations of mechanical systems with one or more degrees of freedom.
teaching methods
assessment methods
Oral exam
Seminar work
Recommended literature
  • BROUSIL, J. - SLAVÍK, J. - ZEMAN, V. Dynamika. 1. vyd. Praha : SNTL, 1989. ISBN 80-03-00164-1.
  • Hibbeler, R. C. Engineering mechanics : dynamics. 11th ed. Singapore : Prentice Hall, 2007. ISBN 978-0-13-203809-6.
  • Janeček, Otakar; Zeman, Vladimír. Technická dynamika. 2. přeprac. vyd. Plzeň : VŠSE, 1973.
  • Zeman, Vladimír. Dynamika v příkladech. reedice. Plzeň : ZČU, 1997. ISBN 80-7082-292-9.

Study plans that include the course
Faculty Study plan (Version) Branch of study Category Recommended year of study Recommended semester
Faculty of Applied Sciences Computations and Design (1) Special and interdisciplinary fields 3 Winter