Moses - Asymptotic Methods in Mechanics

Display language

To modulepage Generate PDF

Module / Version:
#50073 / #1

Validity:
Seit SS 2015

Default display language:
English

Module title:
Asymptotic Methods in Mechanics

Credits:
6

Responsible person:
Argatov, Ivan

Grading:
benotet

Type of exam:
Mündliche Prüfung

Zugehörigkeit

Faculty:
Fakultät V

Institute:
Institut für Mechanik

Area of expertise:
35371200 FG Mechanik, insbes. Systemdynamik und Reibungsphysik

Prüfungsausschuss:
Physikalische Ingenieurwissenschaft

Kontakt

Office:
C 8-4

Contact person:
Wallendorf, Juliane

E-mail address:
ivan.argatov@campus.tu-berlin.de

Website:
No information

Learning Outcomes

In-depth study by students of asymptotic methods used to solve various problems in mechanics, physics and engineering. Skills to develop specific mathematical models of mechanical processes and phenomena, their analytical implementation, and analysis of results of asymptotic modeling. Competencies provided by module (%) specialized knowledge 60 methodological competence 35 system knowledge 5 social competence 0

Content

Operations with asymptotic expansions; Perturbation methods for algebraic equations with small parameter; Regular and singular perturbation methods for ordinary differential equations; Regular perturbation methods for boundary problems with partial differential equations; Matched asymptotic expansions: outer solutions, inner solutions; Van Dyke’s matching rule and composite approximations; Method of strained coordinates; Method of multiple scales.

Module Components

Pflichtgruppe:

Please choose courses with 6 credit(s) from the following courses.

Course Name	Type	Number	Cycle	Language	SWS	VZ
Asymptotic Methods in Mechanics	VL		WiSe	English	6

Workload and Credit Points

Asymptotic Methods in Mechanics (VL):

Workload description	Multiplier	Hours	Total
Präsenszeit	15.0	4.0h	60.0h
Vor-/Nacharbeit	30.0	4.0h	120.0h
			180.0h(~6 LP)

The Workload of the module sums up to 180.0 Hours. Therefore the module contains 6 Credits.

Description of Teaching and Learning Methods

Lecture, practical training with the use of multimedia equipment

Requirements for participation and examination

Desirable prerequisites for participation in the courses:

a) obligatory: knowledge of mechanics and higher mathematics, possession of basic knowledge of mathematical models of physical phenomena (Nonlinear oscillations, Heat-conduction) b) desirable: elements of mathematical physics and analytical methods

Mandatory requirements for the module test application:

This module has no requirements.

Module completion

Grading

graded

Type of exam

Oral exam

Language

English

Duration/Extent

No information

Duration of the Module

The following number of semesters is estimated for taking and completing the module:
1 Semester.

This module may be commenced in the following semesters:
Wintersemester.

Maximum Number of Participants

This module is not limited to a number of students.

Registration Procedures

keine

Recommended literature
1. Argatov, I., Mishuris, G., 2011. Asymptotic Methods in Mechanics. Aberystwyth University. 122 pp. (in English; Electronic Edition) http://fp7.imaps.aber.ac.uk/oa_data/lecture_notes/Asymptotic_methods_in_mechanics.pdf
2. Hinch, E.J., 1991. Perturbation Methods. Cambridge Texts in Applied Mathematics. Cambridge University Press, Cambridge.
3. Nayfeh, A.H., 2000. Perturbation Methods, John Wiley and Sons, New York.
4. Kevorkian, J., Cole, J.D., 1981. Perturbation methods in Applied Mathematics. Springer-Verlag, New York.
5. White, R.B., 2006. Asymptotic Analysis of Differential Equations. Imperial College Press & World Scientific, London.

Assigned Degree Programs

Semester:

Zeige auch ausgelaufene Studiengänge und StuPOs

This module is used in the following Degree Programs (new System):

	Studiengang / StuPO	StuPOs	Verwendungen	Erste Verwendung	Letzte Verwendung
This module is not used in any degree program.

Students of other degrees can participate in this module without capacity testing.

Miscellaneous