From 2 November 2020, the autumn semester 2020 will take place online. Exceptions: Courses that can only be carried out with on-site presence.
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151-0840-00L  Principles of FEM-Based Optimization and Robustness Analysis

SemesterSpring Semester 2019
LecturersB. Berisha, P. Hora, N. Manopulo
Periodicityyearly recurring course
Language of instructionEnglish

Catalogue data

AbstractThe course provides fundamentals of stochastic simulation and non-linear optimization methods. Methods of non-linear optimizaion for complex mechanical systems will be introduced und applied on real processes. Typical applications of stochastical methods for the prediction of process stability and robustness analysis will be discussed.
ObjectiveReal systems are, in general, of non-linear nature. Moreover, they are submitted to process parameter variations. In spite of this, most research is performed assuming deterministic boundary conditions, in which all parameters are constant. As a consequence, such research cannot draw conclusions on real system behavior, but only on behavior under singular conditions. Hence, the objective of this course is to give an insight into stochastic simulations and non-linear optimization methods.

Students will learn mathematical methods e.g. gradient based and gradient free methods like genetic algorithm, and optimization tools (Matlab Optimization Toolbox) to solve basic optimization and stochastic problems.

Furthermore, special attention will be paid to the modeling of engineering problems using a commercial finite element program e.g. LS-Dyna to evaluate the mechanical response of a system, and an optimization tool e.g. LS-Opt for the mathematical optimization and robustness analysis.
ContentPrinciples of nonlinear optimization

- Introduction into nonlinear optimization and stochastic process simulation
- Principles of nonlinear optimization
- Introduction into the design optimization and probabilistic tool LS-Opt
- Design of Experiments DoE
- Introduction into nonlinear finite element methods

Optimization of nonlinear systems

- Application: Optimization of simple structures using LS-Opt and LS-Dyna
- Optimization based on meta modeling techniques
- Introduction into structure optimization
- Introduction into geometry parameterization for shape and topology optimization

Robustness and sensitivity of multiparameter systems

- Introduction into stochastics and robustness of processes
- Sensitivity analysis
- Application examples
Lecture notesyes

Performance assessment

Performance assessment information (valid until the course unit is held again)
Performance assessment as a semester course
ECTS credits5 credits
ExaminersB. Berisha, P. Hora, N. Manopulo
Typesession examination
Language of examinationEnglish
RepetitionThe performance assessment is offered every session. Repetition possible without re-enrolling for the course unit.
Mode of examinationwritten 120 minutes
Written aids2x A4 sheets, double-sided with personal notes/summary, scientific calculator.
This information can be updated until the beginning of the semester; information on the examination timetable is binding.

Learning materials

Main linkInformation
Only public learning materials are listed.


151-0840-00 VPrinciples of FEM-Based Optimization and Robustness Analysis2 hrs
Fri08-10CLA E 4 »
B. Berisha, P. Hora, N. Manopulo
151-0840-00 UPrinciples of FEM-Based Optimization and Robustness Analysis
If required, two dates for exercises will be offered.

Bei Bedarf werden zwei Übungstermine angeboten.
2 hrs
Fri10-12CLA F 2 »
B. Berisha, P. Hora, N. Manopulo


No information on groups available.


There are no additional restrictions for the registration.

Offered in

Doctoral Department of Mechanical and Process EngineeringDoctoral and Post-Doctoral CoursesWInformation
Mechanical Engineering BachelorElective CoursesW+Information
Mechanical Engineering MasterMechanics, Materials, StructuresWInformation
Computational Science and Engineering BachelorElectivesWInformation
Computational Science and Engineering MasterElectivesWInformation