# 309.023 Stability of motion This course is in all assigned curricula part of the STEOP.\$(function(){PrimeFaces.cw("Tooltip","widget_j_id_21",{id:"j_id_21",showEffect:"fade",hideEffect:"fade",target:"isAllSteop"});});This course is in at least 1 assigned curriculum part of the STEOP.\$(function(){PrimeFaces.cw("Tooltip","widget_j_id_23",{id:"j_id_23",showEffect:"fade",hideEffect:"fade",target:"isAnySteop"});}); 2024W 2023W 2022W 2021W 2020W 2019W 2018W 2017W 2016W 2015W 2014W 2013W 2012W 2011W 2010W 2009W 2008W 2007W 2006W 2005W 2004W 2003W 2002W 2001W 2000W 1999W 1998W 1997W 1996W 1995W 1994W 1993W 1992W 1991W 1990W 1989W 1988W 1987W 1986W 1985W 1984W 1983W 1982W 1981W 1980W 1979W 1978W 1977W 1976W 1975W 1974W

2023W, VO, 2.0h, 3.0EC

## Properties

• Semester hours: 2.0
• Credits: 3.0
• Type: VO Lecture
• Format: Presence

## Learning outcomes

After successful completion of the course, students are able to:

• continue the module Vehicle System Dynamics and to perform the following tasks for the investigation of the stability of motion, particularly also for vehicles
• explicate the basic concepts of stability theory and the different methods for the stability analysis of moving systems
• formulate the basic equations, in particular also the variational equations
• explicate linear variational equations with both constant and variable coefficients and apply them to stability problems
• perform investigations in the phase plane, also for non-linear systems
• explicate and apply Ljapunov's direct method

## Subject of course

Basic concepts and definitions of stability; variational equations; linear variational equations with constant and variable coefficients; methods for the analysis of stability of linear/linearized systems; treatment of non-linear systems (phase space, Ljapunov's direct method), theory and application of Ljapunov functions, problems.

## Teaching methods

Presentation of fundamentals and application based on examples.

Written

## Course dates

DayTimeDateLocationDescription
Fri13:00 - 14:0013.10.2023Seminarraum BA 05 - MB Vorbesprechung
Fri13:00 - 18:0020.10.2023 - 19.01.2024Seminarraum BA 05 - MB Vorlesung
Stability of motion - Single appointments
DayDateTimeLocationDescription
Fri13.10.202313:00 - 14:00Seminarraum BA 05 - MB Vorbesprechung
Fri20.10.202313:00 - 18:00Seminarraum BA 05 - MB Vorlesung
Fri27.10.202313:00 - 18:00Seminarraum BA 05 - MB Vorlesung
Fri03.11.202313:00 - 18:00Seminarraum BA 05 - MB Vorlesung
Fri10.11.202313:00 - 18:00Seminarraum BA 05 - MB Vorlesung
Fri17.11.202313:00 - 18:00Seminarraum BA 05 - MB Vorlesung
Fri24.11.202313:00 - 18:00Seminarraum BA 05 - MB Vorlesung
Fri01.12.202313:00 - 18:00Seminarraum BA 05 - MB Vorlesung
Fri15.12.202313:00 - 18:00Seminarraum BA 05 - MB Vorlesung
Fri12.01.202413:00 - 18:00Seminarraum BA 05 - MB Vorlesung
Fri19.01.202413:00 - 18:00Seminarraum BA 05 - MB Vorlesung

Written exam.

## Exams

DayTimeDateRoomMode of examinationApplication timeApplication modeExam
Fri11:00 - 12:0007.02.2025Seminarraum BA 05 - MB written10.01.2025 15:00 - 05.02.2025 15:00TISSPrüfung
Wed14:00 - 15:0005.03.2025 Die Prüfung findet im Besprechungsraum von E325-01 statt.written05.02.2025 08:00 - 04.03.2025 23:59TISSPrüfung

## Course registration

Begin End Deregistration end
18.09.2023 10:00 06.11.2023 00:00

## Curricula

Study CodeObligationSemesterPrecon.Info
066 445 Mechanical Engineering Mandatory elective
Course requires the completion of the introductory and orientation phase
066 482 Mechanical Engineering - Management Mandatory elective
Course requires the completion of the introductory and orientation phase

## Literature

Lecture notes for this course are available. Skelettskriptum am Institut

## Previous knowledge

Basic knowledge of mechanics and mathematics.

German