Module Description

Module: Modelling and Optimization in Dynamics

Courses:

TitleTypeHrs/WeekPeriod
Flexible Multibody SystemsLecture2Winter Semester
Optimization of dynamical systemsLecture2Winter Semester

Module Responsibility:

Prof. Robert Seifried

Admission Requirements:

None

Recommended Previous Knowledge:

  • Mathematics I, II, III
  • Mechanics I, II, III, IV
  • Simulation of dynamical Systems

Educational Objectives:

Professional Competence

Theoretical Knowledge

Students demonstrate basic knowledge and understanding of modeling, simulation and analysis of complex rigid and flexible multibody systems and methods for optimizing dynamic systems after successful completion of the module.

Capabilities

Students are able

+ to think holistically

+ to independently, securly and critically analyze and optimize basic problems of the dynamics of rigid and flexible multibody systems

+ to describe dynamics problems mathematically

+ to optimize dynamics problems

Personal Competence

Social Competence

Students are able to

+ solve problems in heterogeneous groups and to document the corresponding results.

Autonomy

Students are able to

+ assess their knowledge by means of exercises.

+ acquaint themselves with the necessary knowledge to solve research oriented tasks.

ECTS-Credit Points Module:

6 ECTS

Examination:

Oral exam

Workload in Hours:

Independent Study Time: 124, Study Time in Lecture: 56


Course: Flexible Multibody Systems (Lecture)

Lecturer:

Alexander Held

Language:

German

Period:

Winter Semester

Content:

  1. Basics of Multibody Systems
  2. Basics of Continuum Mechanics
  3. Linear finite element modelles and modell reduction
  4. Nonlinear finite element Modelles: absolute nodal coordinate formulation
  5. Kinematics of an elastic body 
  6. Kinetics of an elastic body
  7. System assembly

Literature:

Schwertassek, R. und Wallrapp, O.: Dynamik flexibler Mehrkörpersysteme. Braunschweig, Vieweg, 1999.

Seifried, R.: Dynamics of Underactuated Multibody Systems, Springer, 2014.

Shabana, A.A.: Dynamics of Multibody Systems. Cambridge Univ. Press, Cambridge, 2004, 3. Auflage.


Course: Optimization of dynamical systems (Lecture)

Lecturer:

Robert Seifried

Language:

German

Period:

Winter Semester

Content:

  1. Formulation and classification of optimization problems 
  2. Scalar Optimization
  3. Sensitivity Analysis
  4. Unconstrained Parameter Optimization
  5. Constrained Parameter Optimization
  6. Stochastic optimization
  7. Multicriteria Optimization
  8. Topology Optimization

Literature:

Bestle, D.: Analyse und Optimierung von Mehrkörpersystemen. Springer, Berlin, 1994.

Nocedal, J. , Wright , S.J. : Numerical Optimization. New York: Springer, 2006.