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Course info
KME / MECH2
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Course description
Department/Unit / Abbreviation
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KME
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MECH2
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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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Mechanics 2
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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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0 / -
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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 |
No
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Fundamental course |
No
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Fundamental theoretical course |
No
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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/DMECH or KME/MECHB or KME/MECH1
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Courses depending on this Course
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N/A
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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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Introduce the students firstly with
- kinematical solution of plane mechanisms using analytical and graphical methods
- statical solution of plane mechanisms using analytical and graphical methods
The students are introduced to the solution of plane problems from mass point, rigid body and rigid body systems dynamics. The student will be introduced with the basic ideas of the oscillation theory of linear rigid body systems with one degree of freedom.
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Requirements on student
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Credit requirements
The elaboration and delivery of the semestral work of adequate level.
Credit obtained in previous years of study is not accepted.
Exam requirements
Active knowledge of lectures and the capability to apply the acquired knowledge to the solution of concrete problems. The exam is divided into two parts: a written test and an oral exam. To take the oral exam, it is necessary to write the test and earn at least fifty percent (50%) of total points.
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Content
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1th week:
Lecture - Kinematical solution of plane mechanisms (analytical and graphical methods)
Practice - Composition of plane rigid body systems. Illustration of mechanical models of chosen mechanisms.
2nd week:
Lecture - Statical solution of stationary plane rigid bodies systems (analytically and graphically). Methods of release. Truss systems.
Practice - Kinematical solution of plane mechanisms - analytical and graphical solution.
3rd week:
Lecture - Statical solution of planar mechanisms - analytical and graphical solution.
Practice - Statical solution of stationary plane rigid bodies systems - analytical and graphical solution.
4th week:
Lecture - Mass point dynamics. Motion equation and its solution. Dynamical equilibrium condition. Mass point relative motion. Theorems of mass point motion.
Practice - Statical solution of planar mechanisms - analytically and graphically.
5th week:
Lecture - Mass points systems dynamics. D'Alembert's principle and theorems of motion.
Practice - Examination of mass point motion considering the motion equations and dynamical equilibrium conditions. Application of theorems of mass point motion.
6th week:
Lecture - Rigid body dynamics. Centre of mass, inertia matrix, liner momentum, angular momentum and kinetic energy.
Practice - Examination of relative mass point motion. Application of d'Alembert principle and theorems of motion to mass points system.
7th week:
Lecture - Translation and rotation of rigid body. Inertial effects on a rotor.
Practice - Examination of momentum of inertia and deviation momentum.
8th week:
Lecture - General plane motion of a rigid body.
Practice - Examination of rigid body translation. Run up and slowing down of a rotor. Reaction in the bearing due to the rotor imbalance.
9th week:
Lecture - Dynamics of planar systems. Method of release.
Practice - Examination of rigid body motion by rolling. Inertial effects on the rigid body by the general plane motion.
10th week:
Lecture - Method of mass reduction. Methods of motion equations integration.
Practice - Kinetostatical solution of planar mechanisms by the method of release.
11th week:
Lecture - Application of motion theorems. Impulse of bodies. Elementary theory of impulse. Examples.
Practice - Examination of planar mechanisms motion by the method of mass reduction. Computational simulation of rigid bodies systems with variable transmissions. Semestral work setting.
12th week:
Lecture - Principle ideas of oscillation theory. Mathematical models of linear systems with one degree of freedom. Free oscillations.
Practice - Eigen frequencies and free oscillation of undamped and damped systems with one degree of freedom.
13th week:
Lecture - Excited oscillation of linear systems with one degree of freedom. Impulse, transient and amplitude characteristics.
Practice - Steady harmonically excitated oscillation. Kinematical excitation and excitation due to the rotor imbalance.
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Activities
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Fields of study
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Guarantors and lecturers
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Literature
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Recommended:
BROUSIL, J. - SLAVÍK, J. - ZEMAN, V. Dynamika. 1. vyd. Praha : SNTL, 1989. ISBN 80-03-00164-1.
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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, Vladimír. Dynamika v příkladech. reedice. Plzeň : ZČU, 1997. ISBN 80-7082-292-9.
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Recommended:
ZEMAN, V. - HLAVÁČ, Z. Kmitání mechanických soustav. Skriptum ZČU v Plzni, 2004. ISBN 80-7043-337-X.
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Recommended:
HLAVÁČ, Z. - VIMMR, J. Sbírka příkladů ze statiky a kinematiky. Skriptum ZČU v Plzni, 2007.
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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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Preparation for an examination (30-60)
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50
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Undergraduate study programme term essay (20-40)
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25
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Contact hours
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52
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Total
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127
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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 a orientovat se v metodách pro derivování a integrování |
rozumět teorii silových soustav |
orientovat se a vysvětlit základní pojmy z oblasti statiky a kinematiky hmotného bodu a tělesa |
Skills - students are expected to possess the following skills before the course commences to finish it successfully: |
schopnost derivovat a integrovat základní typy funkcí |
umět napsat příslušné podmínky rovnováhy a ekvivalence pro rovinnou a prostorovou soustavu sil o společném působišti, pro rovinnou a prostorovou soustavu rovnoběžných sil a pro obecnou rovinnou a prostorovou soustavu sil |
umět řešit kinematiku hmotného bodu a tělesa |
umět řešit statiku hmotného bodu a tělesa (úloha síly, úloha polohy) |
Competences - students are expected to possess the following competences before the course commences to finish it successfully: |
N/A |
N/A |
N/A |
N/A |
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Learning outcomes
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Knowledge - knowledge resulting from the course: |
orientovat se v kinematickém řešení rovinných mechanismů |
orientovat se ve statickém řešení rovinných soustav těles |
popsat pohyb hmotného bodu pomocí pohybové rovnice, podmínek dynamické rovnováhy a pomocí vět o pohybu |
umět popsat základní charakteristiky (hybnost, moment hybnosti a kinetická energie) posuvného, rotačního a obecného rovinného pohybu tělesa |
umět vyjádřit setrvačné účinky pro posuvný, rotační a obecný rovinný pohyb tělěsa |
definovat úlohu kinetostatiky a vlastní dynamiky |
vysvětlit základní principy metody uvolňování a metody redukce hmot a silových účinků |
rozumět elementární teorii rázu posouvajících se těles |
rozpoznat volné a vynucené kmitání lineárních soustav s jedním stupněm volnosti |
Skills - skills resulting from the course: |
umět použít analytické metody pro kinematické řešení rovinných mechanismů |
umět použít grafické metody pro vyšetřování rychlostí bodů a těles u rovinných mechanismů |
provést statické řešení rovinných soustav těles pomocí analytických a grafických metod |
umět řešit pohyb hmotného bodu aplikací pohybové rovnice, podmínek dynamické rovnováhy a vět o pohybu |
řešit posuvný, rotační a obecný rovinný pohyb tělesa |
aplikovat metodu uvolňování pro řešení úlohy kinetostatiky a vlastní dynamiky |
aplikovat metodu redukce hmot a silových účinků pro sestavení vlastní pohybové rovnice |
vyšetřit odezvu na volné a vynucené kmitání lineárních soustav s jedním stupněm volnosti |
Competences - competences resulting from the course: |
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: |
Combined exam |
Seminar work |
Demonstrace znalostí při cvičeních |
Skills - skills achieved by taking this course are verified by the following means: |
Combined exam |
Skills demonstration during practicum |
Seminar work |
Competences - competence achieved by taking this course are verified by the following means: |
Seminar work |
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Teaching methods
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Knowledge - the following training methods are used to achieve the required knowledge: |
Interactive lecture |
Practicum |
Individual study |
Task-based study method |
Skills - the following training methods are used to achieve the required skills: |
Interactive lecture |
Practicum |
Individual study |
Task-based study method |
Competences - the following training methods are used to achieve the required competences: |
Lecture |
Practicum |
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