Module: Modelling and Optimization in Dynamics
|Flexible Multibody Systems||Lecture||2||Winter Semester|
|Optimization of dynamical systems||Lecture||2||Winter Semester|
Prof. Robert Seifried
Recommended Previous Knowledge:
- Mathematics I, II, III
- Mechanics I, II, III, IV
- Simulation of dynamical Systems
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.
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
Students are able to
+ solve problems in heterogeneous groups and to document the corresponding results.
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:
Workload in Hours:
Independent Study Time: 124, Study Time in Lecture: 56
Course: Flexible Multibody Systems (Lecture)
- Basics of Multibody Systems
- Basics of Continuum Mechanics
- Linear finite element modelles and modell reduction
- Nonlinear finite element Modelles: absolute nodal coordinate
- Kinematics of an elastic body
- Kinetics of an elastic body
- System assembly
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)
- Formulation and classification of optimization problems
- Scalar Optimization
- Sensitivity Analysis
- Unconstrained Parameter Optimization
- Constrained Parameter Optimization
- Stochastic optimization
- Multicriteria Optimization
- Topology Optimization
Bestle, D.: Analyse und Optimierung von Mehrkörpersystemen. Springer, Berlin, 1994.
Nocedal, J. , Wright , S.J. : Numerical Optimization. New York: Springer, 2006.