Display language
To modulepage Generate PDF

#50465 / #4

Seit WS 2016/17

English

Nonlinear Oscillations

6

Wagner, Utz

benotet

Portfolioprüfung

Zugehörigkeit


Fakultät V

Institut für Mechanik

35371400 FG Mechanik, insbesondere Mechatronische Maschinendynamik

Physikalische Ingenieurwissenschaft

Kontakt


MS 1

Wagner, Utz

isabell.geier@tu-berlin.de

Learning Outcomes

This module gives an basic introduction into behavior and properties of nonlinear mechanical oscillators. Corresponding mathematical methods are introduced and differences between linear and nonlinear oscillators are examined. Stability due to Lyapunov is considered and short introduction into chaotic oscillations is given.

Content

Lyapunov stability, Floquet theory, phase portraits, Lindstedt und Poincare perturbation theory, Harmonic Balance, multiple time scales, slowly changing phase and amplitude, sub- and superharmonics, self-excited vibrations, applications: railway dynamics of a railway wheelset, energy harvesting, Poincare maps, pitchfork and Hopf bifurcation, chaos.

Module Components

Pflicht:

All Courses are mandatory.

Course NameTypeNumberCycleLanguageSWSVZ
Nonlinear OscillationsIV0530 L 533WiSeEnglish4

Workload and Credit Points

Nonlinear Oscillations (IV):

Workload descriptionMultiplierHoursTotal
Präsenzzeit15.04.0h60.0h
Vor-/Nachbereitung15.08.0h120.0h
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 with integrated examples and tutorials in order to demonstrate the contents. Project work in small groups.

Requirements for participation and examination

Desirable prerequisites for participation in the courses:

a) mandatory: basic knowledge in mathematics and mechanical vibrations b) preferable: previous attendance of "Mechanische Schwingungslehre und Maschinendynamik"

Mandatory requirements for the module test application:

This module has no requirements.

Module completion

Grading

graded

Type of exam

Portfolio examination

Type of portfolio examination

100 Punkte insgesamt

Language

English

Test elements

NamePointsCategorieDuration/Extent
oral exam80oral20 min
projekt report 20written8 pages

Grading scale

Notenschlüssel »Notenschlüssel 2: Fak IV (2)«

Gesamtpunktzahl1.01.31.72.02.32.73.03.33.74.0
100.0pt95.0pt90.0pt85.0pt80.0pt75.0pt70.0pt65.0pt60.0pt55.0pt50.0pt

Test description (Module completion)

project work (20%) and oral exam (80%)

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

The maximum capacity of students is 50.

Registration Procedures

./.

Recommended reading, Lecture notes

Lecture notes

Availability:  unavailable

 

Electronical lecture notes

Availability:  unavailable

 

Literature

Recommended literature
Hagedorn, P.: Nonlinear Oscillations, Springer Verlag, 1988. Nayfeh, A.H.; Mook, D.T.: Nonlinear Oscillations, Wiley, 1979

Assigned Degree Programs


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

Studiengang / StuPOStuPOsVerwendungenErste VerwendungLetzte Verwendung
This module is not used in any degree program.

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

This module is especially convenient for the degree course "Physikalische Ingenieurwissenschaft" and for deepening the course "Maschinenbau" as well as for alternative courses of studies.

Miscellaneous

This module is offered each winter term.