# 309.023 Stability of motion This course is in all assigned curricula part of the STEOP.\$(function(){PrimeFaces.cw("Tooltip","widget_j_id_20",{id:"j_id_20",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_22",{id:"j_id_22",showEffect:"fade",hideEffect:"fade",target:"isAnySteop"});});

2020W, VO, 2.0h, 3.0EC

## Properties

• Semester hours: 2.0
• Credits: 3.0
• Type: VO Lecture
• Format: Distance Learning

## 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 - 13:3009.10.2020Seminarraum BA 05 Vorbesprechung
Fri13:00 - 18:0016.10.2020 - 22.01.2021Seminarraum BA 05 Vorlesung
Stability of motion - Single appointments
DayDateTimeLocationDescription
Fri09.10.202013:00 - 13:30Seminarraum BA 05 Vorbesprechung
Fri16.10.202013:00 - 18:00Seminarraum BA 05 Vorlesung
Fri23.10.202013:00 - 18:00Seminarraum BA 05 Vorlesung
Fri30.10.202013:00 - 18:00Seminarraum BA 05 Vorlesung
Fri06.11.202013:00 - 18:00Seminarraum BA 05 Vorlesung
Fri13.11.202013:00 - 18:00Seminarraum BA 05 Vorlesung
Fri20.11.202013:00 - 18:00Seminarraum BA 05 Vorlesung
Fri27.11.202013:00 - 18:00Seminarraum BA 05 Vorlesung
Fri04.12.202013:00 - 18:00Seminarraum BA 05 Vorlesung
Fri11.12.202013:00 - 18:00Seminarraum BA 05 Vorlesung
Fri18.12.202013:00 - 18:00Seminarraum BA 05 Vorlesung
Fri08.01.202113:00 - 18:00Seminarraum BA 05 Vorlesung
Fri15.01.202113:00 - 18:00Seminarraum BA 05 Vorlesung
Fri22.01.202113:00 - 18:00Seminarraum BA 05 Vorlesung

Written exam.

## Course registration

Begin End Deregistration end
14.09.2020 10:00 02.11.2020 00:00

## Curricula

Study CodeSemesterPrecon.Info
066 445 Mechanical Engineering
Course requires the completion of the introductory and orientation phase
066 482 Mechanical Engineering - Management
Course requires the completion of the introductory and orientation phase
700 Mechanical Engineering

## Literature

Lecture notes for this course are available. Skelettskriptum am Institut

## Previous knowledge

Basic knowledge of mechanics and mathematics.

German