Resolution of Physical Issues
Code  Completion  Credits  Range  Language 

18RFP  KZ  3  1P+2C  Czech 
 Garant předmětu:
 Lecturer:
 Tutor:
 Supervisor:
 Department of Software Engineering
 Synopsis:

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 nonliving 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
 Requirements:
 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 threephasis 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 9788021317635
Novotný, R.: Circular cylindrical shell and circular straight pipe under unusual circumstances, Praha, nakladatelství CopyCentrum PowerPrint, 2005, ISBN 8021313447
Brdička, M., Samek, L., Sopko, R.: Continuum Mechanics, Praha, Academia ČMT, 2000, ISBN 8020007725
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
 Note:
 Further information:
 No timetable has been prepared for this course
 The course is a part of the following study plans: