B_DYM Dynamics

Institute of Technology and Business in České Budějovice
summer 2026
Extent and Intensity
2/2/0. 5 credit(s). Type of Completion: zk (examination).
Teacher(s)
doc. Ing. Petr Hrubý, CSc. (seminar tutor)
Ing. Ján Majerník, PhD. (seminar tutor)
Guaranteed by
Ing. Ján Majerník, PhD.
The Department of Mechanical Engineering – School of Expertness and Valuation – Rector – Institute of Technology and Business in České Budějovice
Supplier department: The Department of Mechanical Engineering – School of Expertness and Valuation – Rector – Institute of Technology and Business in České Budějovice
Timetable of Seminar Groups
B_DYM/K03: Sat 28. 2. 13:05–14:35 D215, Sun 15. 3. 13:05–17:35 D215, Sun 12. 4. 8:00–12:30 D215, Sat 16. 5. 11:25–12:55 D215, P. Hrubý
B_DYM/P01: Tue 13:05–14:35 B2, P. Hrubý
B_DYM/S01: Mon 13:05–14:35 D515, J. Majerník
B_DYM/S02: Tue 8:00–9:30 B5, J. Majerník
Prerequisites (in Czech)
KNM Kinematics || B_KIN Kinematics
Course Enrolment Limitations
The course is offered to students of any study field.
Course objectives supported by learning outcomes
To acquaint the student with the methods of preparation and solving the equations of motion of particles, rigid bodies and their systems when solving kinetostatics and dynamics problems, and furthermore, the aim of this course is to acquaint the students with methods of vibrations analysis of discrete systems of bodies.
Learning outcomes
After completing the subject, student is able to: • - to determine the elements of the inertia matrix in both the basic and transformed co-ordinate systems of the body • - to determine additional inertial force effects for individual types of motion of point, body and body system • - to compose the motion equations of the point, body, the body system by using D'Alembert's principle, especially for solving the problems of Kinetostatics • - to use methods of analytical mechanics when building motion equations for self-dynamics tasks, including mechanical vibration tasks • - to solve basic types of motion equations in closed form • - to use a method of physical discretization to build a mathematical model of oscillating linear torsional system • - to compose a mathematical model for solving the modal and spectral properties of the transverse oscillating one-dimensional linear continuum by using the Finite Element Method • - to compose a solution algorithm for the numerical solution of motion equations by using the own numbers problem
Syllabus
1. Dynamics of a particle and system of particles 2. Moments of inertia and products of inertia 3. Dynamic of rigid body 4. The balancing of rigid rotors 5. Multibody dynamics 6. Method of weight reducing 7. Analytic mechanics 8. Dynamic ratios at current movements, dynamics of relative motion 9. Flywheels and gyroscopes 10. Bodies nature 11. Linear discrete systems vibration 12. Forced vibration of linear discrete systems 13. Nonlinear systems vibration
Literature
  • KRATOCHVÍL, Ctirad a MALENOVSKÝ, Eduard. Sbírka úloh z dynamiky. 2. přeprac. vyd. Brno: Akademické nakladatelství CERM, 2006. ISBN 80-214-3228-4.
  • HRUBÝ, Petr; Lenka KLEISNEROVÁ a Pavla ŽIDKOVÁ. Analýza ohybových kmitů kinematicky buzeného kloubového hřídele. In MMK 2015 : sborník příspěvků. 1. vyd. Hradec Králové: Magnanimitas, 2015, s. 2565-2574, 15 s. ISBN 978-80-87952-12-2.
  • KRATOCHVÍL, Ctirad a SLAVÍK, Jaromír. Mechanika těles a dynamika. 2. vyd. v Akademickém nakladatelství CERM. Brno: Akademické nakladatelství CERM, 2007. 227 s. ISBN: 978-80-214-3446-2.
Organizační formy výuky
Lecture
Seminar
Komplexní výukové metody
Frontal Teaching
Group Teaching - Cooperation
Project Teaching
Brainstorming
Critical Thinking
Individual Work– Individual or Individualized Activity
Teaching Supported by Multimedia Technologies
Student Workload
ActivitiesNumber of Hours of Study Workload
Daily StudyCombined Study
Preparation for the Mid-term Test2639
Preparation for Lectures13 
Preparation for Seminars, Exercises, Tutorial2626
Preparation for the Final Test2639
Attendance on Lectures13 
Attendance on Seminars/Exercises/Tutorial/Excursion2626
Total:130130
Metody hodnocení a jejich poměr
Exam – written 70%
Seminary Work 30%
Language of instruction
Czech

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