Resolution of Physical Issues

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Code Completion Credits Range Language
18RFP KZ 3 1+2 Czech
Jiří Konfršt
Jiří Konfršt
Department of Software Engineering

There are various specific problems having physical background (for example also in forensic medicine or biomechanics) in maybe all technology disciplines and also in majority of natural sciences (related both to living and non-living matter). Their solution is not often easy feasible in analytic way, but it is required from perspective of its understanding and appreciation. Hence this subject is focused at some more complex issues, which solvability is based on acceptable simplification for subsequent possible computer processing regardless it is mathematical, geometrical, material of other conceivable simplification. This subject prefers analytical way of solution, but there is obvious required link to software engineering methods. Software engineering is the only way how to realize the solution. In conclusion, this subject will instruct students, how to transform selected physical issue using both numerical and analytical methods from its insolvable state to a solvable state having acceptable accuracy

Syllabus of lectures:

1. Classification and resource of common solutions of physical problems, their simplification.

2. Kinematic and physical definition of compressibility of liquids, density and cubature model of compressibility.

3.Porus and current pressure in two and three-phasis discreet background.

4.Stability in dicreet background.

5.Differential equation of elastic currents bars, variants. 6.Differential equation for smooth surface of coating of circular and cylindrical pipeline.

7.Differential equation for vrapped surface of coating of circular and cylindrical pipeline.

8.Flexible interaction „pipeline coating versus outer continuum“.

9.Elastic piston systems.

10.Comlex diffential equation of combined pipeline system. Its discussion.

11.Inner forces in coating of the system and pressure function.

12.Tensors and quadrics of tensity and transformation.

13.General integral and marginally conditions of the problem.

14.Task in the concrete, its programming and numerical solution

Syllabus of tutorials:

Sylabus of the excercise is the same as the sylabus of the lecture.

Study Objective:

Knowledge: Trasfomation of different problems in technical sciences to mathematicaly solvable task

Abilities: The are able to aply their skills in mathematical analysis and linear algebra in selected branches of the solid state physics, the liquid phase physics and the physics of the discrete media.

Study materials:

Key references:

Novotný, R., Pech, P.: Field theory in continuum mechanics, Praha, nakladatelství ČZU, 2008, ISBN 978-80-213-1763-5

Novotný, R.: Circular cylindrical shell and circular straight pipe under unusual circumstances, Praha, nakladatelství CopyCentrum PowerPrint, 2005, ISBN 80-213-1344-7

Brdička, M., Samek, L., Sopko, R.: Continuum Mechanics, Praha, Academia ČMT, 2000, ISBN 80-200-0772-5

Recommended references:

Rektorys, K.: Variational methods in engineering problems and mathematical physics problems, Praha, Academia, 1999

Kvasnica, J.: Mathematical Physics, Praha, Academia, 1997

Madelung, E.: The use of differential equations in practice, Bratislava, ALFA, 1975

Kneschke, A.: Používanie diferenciálnych rovníc v praxi, Bratislava, ALFA, 1969

Kučera, J., Horák, Z.: Tenzory v elektrotechnice a ve fyzice, Praha, nakladatelství ČSAV,1963

Time-table for winter semester 2020/2021:
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Time-table for summer semester 2020/2021:
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The course is a part of the following study plans:
Data valid to 2021-03-01
For updated information see http://bilakniha.cvut.cz/en/predmet1028606.html