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Course info
KME / VMS
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Course description
Department/Unit / Abbreviation
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KME
/
VMS
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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 of Multibody Systems
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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,
6
Cred.
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Type of completion
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Oral
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Type of completion
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Oral
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Time requirements
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Lecture
3
[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
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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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5 / -
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7 / -
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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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Winter semester
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Semester taught
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Winter 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
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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 |
Yes
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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/TM
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Courses depending on this Course
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KME/PME, KME/SZAME
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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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The students will be introduced with
- the description of a mass point and rigid body in matrix form
- the description of kinematics and kinetostatics of open and close kinematical chains
- basic methods of mechanical systems synthesis
- the numerical solution of the position and dynamical problem of rigid bodies in kinematical chains
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Requirements on student
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Credit requirements
The elaboration and delivery of semestral work of adequate level.
Credit obtained in previous years of study is not accepted.
Exam requirements
Active knowledge of lectures and application of theoretical knowledge to the solution of concrete problems from mechanics of a mass point, rigid body and multibody systems.
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Content
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1.Kinematics of a mass point and rigid body in matrix form, matrix transformation, basic motions.
2.Coincidental rigid bodies motions in matrix form, kinematical analysis of bound mechanical systems.
3.Transformation matrix of basic kinematical couples, kinematical solution of open chains.
4.Kinematical solution of simple mechanisms (trigonometric, vector and matrix method).
5.Kiematical solution of bound mechanisms, numerical kinematical solution of mechanisms.
6.Kinematical solution of simple mechanisms with more complex kinematical couples.
7.Principles of kinematical synthesis of bound mechanical systems. Cam mechanism and joint mechanism, collocation method.
8.Kinematical sythesis of guide and transformation mechanisms, function generators.
9.Pure geometric and kinematical synthesis of multibody systems, linear and nonlinear synthesis.
10.Linear synthesis of mechanisms with rotation and translation kineamtical couples.
11.Accuracy and sensitivity of mechanisms and kineamtical chains.
12.Methods of motion equations compilation in dynamics of bound mechanical systems.
13.Kinetostatical examination of bound mechanical systems.
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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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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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Contact hours
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65
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Graduate study programme term essay (40-50)
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45
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Total
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160
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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: |
vysvětlit úlohy v klasické mechanice (statika, kinematika, dynamika) bodů a těles |
disponovat znalostmi z vektorového a maticového počtu |
vysvětlit základní numerické metody pro řešení obyčejných a parciálních diferenciálních rovnic |
popsat vektorovou analýzu a definovat transformace vektorů mezi prostory |
orientovat se v základech matematické optimalizace fyzikálních systémů |
Skills - students are expected to possess the following skills before the course commences to finish it successfully: |
řešit statiku, kinematiku a dynamiku hmotných bodů a těles |
charakterizovat kinematické dvojice mechanických soustav |
sestavit pohybové rovnice soustavy mnoha vázaných těles metodou uvolňování |
vytvořit softwarové prostředky pro numerické řešení úloh mechaniky |
realizovat výpočty diskrétních mechanických soustav s využitím maticového počtu |
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 kinematický stav bodu a tělesa v maticové formulaci |
vysvětlit pohyb soustavy mnoha vázaných těles |
identifikovat kinematické dvojice a silové poměry těles |
popsat vázané soustavy těles z pohledu kinematických řetězců |
orientovat se v kinematické syntéze vázané soustavy těles |
orientovat se v dynamice těles a soustavy těles |
Skills - skills resulting from the course: |
sestavit transformační matice těles a soustavy vázaných těles |
realizovat kinematickou analýzu bodů a těles v maticové formulaci |
charakterizovat vyšší a nižší prostorové kinematické dvojice |
řešit kinematickou syntézu vybraných kinematických řetězců |
analyzovat přesnost a citlivost jednoduchých a složených mechanismů |
sestavit pohybové rovnice v dynamice vázaných mechanických systémů
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provést kinetostatické řešení vázaných soustav těles |
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: |
Oral exam |
Seminar work |
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Teaching methods
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Knowledge - the following training methods are used to achieve the required knowledge: |
Lecture |
Practicum |
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