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Course info
KME / UMM
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Course description
Department/Unit / Abbreviation
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KME
/
UMM
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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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Introduction to Modelling in Mechanics
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Form of course completion
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Pre-Exam Credit
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Form of course completion
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Pre-Exam Credit
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Long Title
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Introduction to the Modelling in Mechanics
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Accredited / Credits
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Yes,
3
Cred.
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Type of completion
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-
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Type of completion
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-
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Time requirements
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Lecture
3
[Hours/Week]
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Course credit prior to examination
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No
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Course credit prior to examination
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No
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Automatic acceptance of credit before examination
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Yes in the case of a previous evaluation 4 nebo nic.
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Included in study average
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NO
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Language of instruction
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Czech, English
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Occ/max
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|
|
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Automatic acceptance of credit before examination
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Yes in the case of a previous evaluation 4 nebo nic.
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Summer semester
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101 / -
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3 / -
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1 / -
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Included in study average
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NO
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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 |
S|N |
Periodicity |
každý rok
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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
|
Evaluation scale |
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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N/A
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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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To introduce to students the mechanics and to acquaint the basic ideas, problems and solution methods. To show to the students typical modern applications of mechanics using real examples from industry.
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Requirements on student
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Standalone work during the lectures and written work in order to test general knowledge of the presented problems.
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Content
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1. Introduction. Division of mechanics, basic ideas and variables. History of mechanics. Significance and motivation of the usage of mechanics in real life.
2. Dynamics of non-rotating systems. Significance of dynamics. Non-oscillating and vibrating motion. Computer modelling in dynamics. Basic examples of the modelling in dynamics. Forced and
kinematically excited vibrations of the systems with one or more degrees of freedom. Real applications of dynamics in nuclear engineering and rail dynamics.
3. Dynamics of rotating systems. Basic model of the coupled point mass in rotating coordinate system. Basic model of Laval's rotor in fixed coordinate system. Frequency response and critical speed. Illustration of real applications in energy and automotive industry.
4. Dynamics of multibody systems. Coupled multibody systems (MBS). Rigid body parameters. Kinematical couplings. Kinematics and equations of motion of MBS. Software tools for the solution of MBS problems. Illustrations of real applications.
5. Elasticity and strength. Basic ideas of strength. Design of structures from the viewpoint of strength and stiffness for elementary types of loading - tension, torsion, bending. Numerical solution of the problems of elasticity and its usage in real life.
6. Mechanics of composite materials. Significance and structure. Classification of composite materials and their production. Uniaxial composites and their mechanical properties.
7. Mechanics of composite materials. Mechanisms of their fracture. Strength conditions. Classical laminate theory. Application of piezo-materials in laminates.
8. Experimental mechanics. Experimental elasticity. Measurements methods. Strain gauges. Experimental dynamics. Dynamical loading. Sensors. Sound and vibration measurement. Balancing.
9. Biomechanics. Significance and history of biomechanics. Classification and solution of biomechanical problems. Interaction. Applications on urinary tract, vessels, fracture fixations, implants. Walking.
10. Viscid incompressible fluid flux. Analytical solution of the pressure and velocity field of steady laminar flux of incompressible fluid between two parallel plates and in cylindrical tube. Shear stress on the wall. Application on the blood flux in bypass. Flowing of compressible fluids. Numerical solution of model scalar linear hyperbolic PDE in 1D. Application on internal aerodynamics.
11. Biomechanical human body models. Models based on rigid bodies (1D, 2D, 3D). Validation. Active model. Deformable models and their structure. Scaling of virtual models. Illustration of applications.
12. From microstructure mechanics towards physics of macroscopic objects. Structure and process description on various scales. Mechanics of microscopic objects and macroscopic world. Energy conservation law. Application on physics of crystal lattice and simplified mechanics of live cell.
13. Summary and the most important conclusions from presented lectures. Combination of various branches of mechanics. Validation, identification and optimization.
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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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-
Basic:
Laš, Vladislav; Hlaváč, Zdeněk,; Vacek, Vlastimil. Technická mechanika v příkladech. 4. vyd. Plzeň : Západočeská univerzita, 2005. ISBN 80-7043-409-0.
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Recommended:
NELSON, E.W. -BEST, C.L. -MC LEAN, W.G. Engineering Mechanics. Mc Graw - Hill, 1997.
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Recommended:
Zeman, Vladimír; Laš, Vladislav. Technická mechanika. 2. přeprac. vyd. Plzeň : Západočeská univerzita, 2001. ISBN 80-7082-789-0.
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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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39
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Preparation for comprehensive test (10-40)
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39
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Total
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78
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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: |
charakterizovat základní pojmy z fyziky |
identifikovat hlavní technické problémy v průmyslu a lekařství |
disponovat základními znalostmi z vektorového a maticového počtu |
disponovat základními znalostmi z matematické analýzy (funkce, limity, derivace, integrály, diferenciální rovnice) |
Skills - students are expected to possess the following skills before the course commences to finish it successfully: |
definovat základní fyzikální veličiny v oblasti mechaniky |
sestavit soustavu algebraických rovnic v maticovém tvaru |
vyřešit úlohu na vlastní hodnoty matice |
vypočítat integrály základních funkcí |
vypočítat derivace základních funkcí |
klasifikovat obyčejné a parciální diferenciální rovnice |
realizovat vhodnou algoritmizaci řešení úlohy |
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 |
N/A |
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Learning outcomes
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Knowledge - knowledge resulting from the course: |
klasifikovat základní úlohy mechaniky |
vymezit metody řešení problémů ze statiky a pružnosti |
vymezit metody řešení problémů z kinematiky a dynamiky |
uvést do souvislosti numerické metody vhodné pro řešení úloh mechaniky |
klasifikovat problémy biomechaniky |
vysvětlit základní pojmy mechaniky tekutin |
identifikovat typické úlohy ve strojírenství |
vymezit metody měření základních mechanických veličin |
Skills - skills resulting from the course: |
přiřadit technický problém ke konkrétní specializaci v mechanice |
vypočítat mechanické napětí při zatížení tahem |
definovat a aplikovat vztah pro vlastní frekvenci systému |
navrhnout rozčlenění mechanického systémy na jednotlivé komponenty za účelem vytvoření výpočtového modelu |
interpretovat výhody použití moderních kompozitních materiálů pro konkrétní konstrukci |
zdůvodnit použití daného čidla pro konkrétní úlohu v experimentální mechanice |
vypočítat rychlost a polohu v závislosti na zrychlení objektu |
rozhodnout o typu proudění v definované úloze |
zdůvodnit účel biomechanického modelu člověka |
Competences - competences resulting from the course: |
N/A |
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: |
Continuous assessment |
Test |
Skills - skills achieved by taking this course are verified by the following means: |
Continuous assessment |
Test |
Competences - competence achieved by taking this course are verified by the following means: |
Continuous assessment |
Test |
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Teaching methods
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Knowledge - the following training methods are used to achieve the required knowledge: |
Interactive lecture |
Lecture supplemented with a discussion |
Self-study of literature |
Skills - the following training methods are used to achieve the required skills: |
Interactive lecture |
Lecture supplemented with a discussion |
Self-study of literature |
Competences - the following training methods are used to achieve the required competences: |
Interactive lecture |
Lecture supplemented with a discussion |
One-to-One tutorial |
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