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Optimization in Structural Dynamics and Vibroacoustics (Practical optimization using Finite Element method)

Module MW2420

This Module is offered by Chair of Vibro-Acoustics of Vehicles and Machines (Prof. Marburg).

This module handbook serves to describe contents, learning outcome, methods and examination type as well as linking to current dates for courses and module examination in the respective sections.

Module version of SS 2019

There are historic module descriptions of this module. A module description is valid until replaced by a newer one.

Whether the module’s courses are offered during a specific semester is listed in the section Courses, Learning and Teaching Methods and Literature below.

available module versions
SS 2021SS 2019

Basic Information

MW2420 is a semester module in German or English language at Master’s level which is offered in summer semester.

This Module is included in the following catalogues within the study programs in physics.

  • Catalogue of non-physics elective courses
Total workloadContact hoursCredits (ECTS)
150 h 45 h 5 CP

Content, Learning Outcome and Preconditions


• Basic knowledge of structural dynamics and vibroacoustics
• Mathematical foundations of optimization
• Linear and nonlinear optimization
• Numerical methods in optimization
• FEM-based optimization
• Topology Optimization
• Optimization in structural dynamics
• Optimization in vibroacoustics

Learning Outcome

Upon successful completion of the modul, students will be able to apply the applied methods of structural optimization and vibroacoustic problems in the industrial sectors. In addition, the students know the linear optimization problems, are able to grasp the possibilities and limits of optimization procedures, can apply them to structural dynamics and vibroacoustics and are able to solve optimal design in structural dynamics, vibration and acoustics by means of FEM under consideration of various influencing parameters.


Engineering Mechanics, Physics and Higher Mathematics (B.Sc. level), Basics of Kinematics / Dynamics

Courses, Learning and Teaching Methods and Literature

Courses and Schedule

Learning and Teaching Methods

In the lecture learning contents are taught based on lecture and description via tablet PC and beamer. The script for the lectures and exercises will be uploaded to TUM-Moodle. The exercise is held as a computational exercise. For this purpose, the solution of which will be discussed in the exercise with the tutor. The exercise is designed so that in most cases, the tasks are already solved by the students in the preparation of the exercise and in the exercise only open questions are clarified. For tasks, it makes sense to visualize the solutions numerically with MATLAB and Abaqus (or Ansys). Finally, in a numerical optimization project, students are introduced to the handling of commercial FE software on the basis of a vibroacoustics problem. The students learn for example how to use the methods of structural and vibroacoustic optimization in the industrial sector and how to find an optimal design in structural dynamics, vibration control and acoustics using FEM, taking into account various influencing factors.


Media forms: lecture, presentation, tablet PC with video projector, blackboard


• J. S. Arora: Introduction to Optimum Design, Academic Press, 3rd edition, 2012.
• S. Marburg: Developments in Structural-Acoustic Optimization for Passive Noise Control, Archives of Computational Methods in Engineering, Vol. 9, 4, p. 291-370, 2002.
• C. Grimme, J. Bossek: Einführung in die Optimierung: Konzepte, Methoden und Anwendungen, Springer Vieweg, 2018.

Module Exam

Description of exams and course work

The module exam is held depending on the number of participants as a written exam (60min) or as an oral exam (20min). The decision will be told to the students at the beginning of the semester. Allowed as an auxiliary tool is a non-programmable calculator. The exam examines to what extent the students understand the basic concepts of optimization and how they can demonstrate solutions to concrete application problems in structural dynamics and vibroacoustics by means of numerical methods. In the exam, the students show for example that they know the linear optimization methods as well as their possibilities and limitations and apply them to structural dynamics and vibroacoustics. Furthermore, the students demonstrate that they can work out the relevant parameters of an optimization task and take them into account when solving the problem.

Exam Repetition

There is a possibility to take the exam in the following semester.

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