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Main menu for Browse IS/STAG
Courses found, count: 1
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Abbreviation unit / Course abbreviation |
Title |
Variant |
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KME
/
D
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Dynamics
Show course
Dynamics
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2023/2024
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Course info
KME / D
:
Course description
Department/Unit / Abbreviation
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KME
/
D
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Academic Year
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2023/2024
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Academic Year
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2023/2024
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Title
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Dynamics
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Form of course completion
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Exam
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Form of course completion
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Exam
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Accredited / Credits
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Yes,
4
Cred.
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Type of completion
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Combined
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Type of completion
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Combined
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Time requirements
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Lecture
2
[Hours/Week]
Tutorial
2
[Hours/Week]
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Course credit prior to examination
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Yes
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Course credit prior to examination
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Yes
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Automatic acceptance of credit before examination
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No
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Included in study average
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YES
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Language of instruction
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Czech, English
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Occ/max
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Automatic acceptance of credit before examination
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No
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Summer semester
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186 / -
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0 / -
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0 / -
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Included in study average
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YES
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Winter semester
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0 / -
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0 / -
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0 / -
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Repeated registration
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NO
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Repeated registration
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NO
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Timetable
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Yes
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Semester taught
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Summer semester
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Semester taught
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Summer semester
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Minimum (B + C) students
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10
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Optional course |
Yes
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Optional course
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Yes
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Language of instruction
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Czech, English
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Internship duration
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0
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No. of hours of on-premise lessons |
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Evaluation scale |
1|2|3|4 |
Periodicity |
každý rok
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Evaluation scale for credit before examination |
S|N |
Periodicita upřesnění |
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Fundamental theoretical course |
Yes
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Fundamental course |
No
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Fundamental theoretical course |
Yes
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Evaluation scale |
1|2|3|4 |
Evaluation scale for credit before examination |
S|N |
Substituted course
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None
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Preclusive courses
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N/A
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Prerequisite courses
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N/A
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Informally recommended courses
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KME/STA and KME/KIN
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Courses depending on this Course
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KME/SZMTT
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Histogram of students' grades over the years:
Graphic PNG
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XLS
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Course objectives:
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To introduce students to the basic approaches used for the analysis of planar dynamics concerning a mass particle, mass particle system or rigid body. To demonstrate the principle of basic methods for the analysis of rigid body system dynamics, including that of methods for numerical integration of equations of motion. To show the application of the elementary impact theory on selected examples. Using specific problems, the students will be also introduced to the theory of free and forced oscillations of linear single degree of freedom systems with and without damping.
The course is meant for:
Bachelor students of the Faculty of Mechanical Engineering and the Faculty of Applied Sciences
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Requirements on student
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Credit requirements:
Elaboration and submission of the assigned semestral work at an adequate level. Credits from previous years are not recognised.
Exam requirements:
Active knowledge of lectures and ability to apply the acquired knowledge to the solution of specific problems.
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Content
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Week 1:
Lecture Mass particle dynamics. Equation of motion and its solution. Condition of dynamic equilibrium. Theorems on mass particle motion.
Tutorial - Analysis of mass particle dynamics by an equation of motion. Examples.
Week 2:
Lecture Dynamics of relative motion of a mass particle. Examples.
Tutorial - Analysis of mass particle dynamics using a dynamic equilibrium condition. Examples. Application of theorems on mass particle motion. Examples.
Week 3:
Lecture Mass particle systém dynamics. D'Alembert's principle and theorems on the motion of a mass particle system.
Tutorial Analysis of relative motion of a mass particle. Examples.
Week 4:
Lecture Rigid body dynamics. Center of mass, inertia matrix, linear momentum, angular momentum and kinetic energy.
Tutorial Application of the D'Alembert's principle and motion theorems. Examples.
Week 5:
Lecture Rigid body translation and rotation.
Tutorial Computation of moments and products of inertia of rigid bodies. Transformation formulas.
Week 6:
Lecture Balancing of perfectly rigid rotors.
Tutorial Analysis of rigid body translation. Examples. Analysis of rigid body rotation. Start-up (rundown) of a rotor. Examples.
Week 7:
Lecture General planar motion of a rigid body.
Tutorial Determination of bearing reaction forces generated by a rotor imbalance. Rotor balancing. Examples.
Week 8:
Lecture - Dynamics of planar systems. Free-body diagrams. Application of motion theorems.
Tutorial Analysis of rigid body rolling. Inertial effects associated with general planar motion of a rigid body. Examples.
Week 9:
Lecture - Mass reduction method. Methods for numerical integration of equations of motion.
Tutorial - Kinetostatic solution of planar mechanisms using free-body diagrams. Examples.
Week 10:
Lecture - Elementary impact theory. Direct and oblique central impact of two moving bodies (mass particles). Examples.
Tutorial Analysis of planar mechanism motion by the mass reduction method. Computer simulation of motion of a system with variable transmissions. Semestral work assignment.
Week 11:
Lecture Planar impact dynamics of two bodies. Impact dynamics of a rotating body and free particle, center of percussion. Examples.
Tutorial Analysis of direct and oblique central impact of two mass particles. Examples.
Week 12:
Lecture Elementary oscillation theory of linear systems with a single degree of freedom. Free oscillation.
Tutorial Analysis of eigen-frequencies and free oscillation of linear single degree of freedom systems with and without damping. Examples.
Week 13:
Lecture Forced oscillation of linear single degree of freedom systems. Pulse, transient and amplitude characteristics.
Tutorial Analysis of steady harmonic oscillation. Kinematic excitation and excitation due to rotor imbalance. Examples.
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Activities
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Fields of study
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Guarantors and lecturers
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Guarantors:
Prof. Ing. Jan Vimmr, Ph.D. (100%),
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Lecturer:
Prof. Ing. Jiří Křen, CSc. (100%),
Prof. Ing. Jan Vimmr, Ph.D. (100%),
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Tutorial lecturer:
Ing. Alena Jonášová, Ph.D. (100%),
Prof. Ing. Jiří Křen, CSc. (100%),
Ing. Tomáš Levý (100%),
Ing. Vladimír Lukeš, Ph.D. (100%),
Ing. Stanislav Plánička, Ph.D. (100%),
Prof. Ing. Jan Vimmr, Ph.D. (100%),
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Literature
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Basic:
Brousil, J. - Slavík, J. - Zeman, V. Dynamika. SNTL Praha 1989. Zeman, V. - Laš, V.: Dynamika v příkladech. ZČU Plzeň, 1997.
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Basic:
Zeman, V. , Hlaváč, Z. Kmitání mechanických soustav. ZČU v Plzni, 2004.
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Recommended:
Genta, Giancarlo. Dynamics of rotating systems. New York : Springer, 2005. ISBN 0-387-20936-0.
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Recommended:
HLAVÁČ, Z. Dynamika pro kombinované studium. Skriptum ZČU v Plzni, 2004. ISBN 80-7043-279-9.
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Recommended:
ZEMAN, V. - LAŠ, V. Dynamika v příkladech. Skriptum ZČU v Plzni, 1996.
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Recommended:
Meriam, J. L. Engineering Mechanics. Volume 2, Dynamics. 6th ed. Hoboken : John Wiley & Sons, 2007. ISBN 978-0-471-73931-9.
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On-line library catalogues
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Time requirements
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All forms of study
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Activities
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Time requirements for activity [h]
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Contact hours
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52
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Preparation for an examination (30-60)
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40
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Undergraduate study programme term essay (20-40)
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20
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Total
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112
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Prerequisites
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Knowledge - students are expected to possess the following knowledge before the course commences to finish it successfully: |
znát základy vektorového a maticového počtu |
znát základy diferenciálního a integrálního počtu |
znát teorii silových soustav |
znát statiku a kinematiku hmotného bodu, tělesa a rovinných soustav těles |
Skills - students are expected to possess the following skills before the course commences to finish it successfully: |
vypočítat skalární a vektorový součin vektorů |
vypočítat derivace a integrály základních funkcí |
řešit základní typy lineárních diferenciálních rovnic |
charakterizovat základní silové soustavy |
Competences - students are expected to possess the following competences before the course commences to finish it successfully: |
N/A |
N/A |
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Learning outcomes
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Knowledge - knowledge resulting from the course: |
definovat základní veličiny hybnost, moment hybnosti, kinetická energie, momenty setrvačnosti |
identifikovat setrvačné účinky působící při posuvném, rotačním a obecném rovinném pohybu tělesa |
popsat princip metody uvolňování a metody redukce hmot |
orientovat se v elementární teorii rázu |
klasifikovat volné a vynucené kmity lineárních soustav s jedním stupněm volnosti |
Skills - skills resulting from the course: |
vyřešit pohyb hmotného bodu a soustavy hmotných bodů |
umět vypočítat momenty setrvačnosti a deviační momenty vybraných těles |
vyřešit posuvný, rotační a obecný rovinný pohyb tělesa |
na konkrétních příkladech aplikovat metodu uvolňování a metodu redukce hmot pro vyšetřování pohybu rovinných soustav těles |
na vybraných příkladech aplikovat elementární teorii rázu |
řešit volné a vynucené kmitání netlumených a tlumených lineárních soustav s jedním stupněm volnosti |
Competences - competences resulting from the course: |
N/A |
N/A |
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Assessment methods
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Knowledge - knowledge achieved by taking this course are verified by the following means: |
Seminar work |
Combined exam |
Skills - skills achieved by taking this course are verified by the following means: |
Seminar work |
Combined exam |
Competences - competence achieved by taking this course are verified by the following means: |
Seminar work |
Combined exam |
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Teaching methods
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Knowledge - the following training methods are used to achieve the required knowledge: |
Interactive lecture |
Self-study of literature |
Skills - the following training methods are used to achieve the required skills: |
Interactive lecture |
Practicum |
Competences - the following training methods are used to achieve the required competences: |
Individual study |
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