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Students of electrical engineering, mechanical engineering, maths, physics (f/m/d)
Job Description
Req ID:  2219
Place of work:  Braunschweig
Starting date:  ab sofort
Career level:  Student employment, Student research project and final thesis
Type of employment:  Part time, Full-time
Duration of contract:  nach Absprache

Remuneration: Remuneration is in accordance with the Collective Agreement for the Public Sector - Federal Government (TVöD-Bund)

Enter the fascinating world of the German Aerospace Center (Deutsches Zentrum für Luft- und Raumfahrt e. V.; DLR) and help shape the future through research and innovation! We offer an exciting and inspiring working environment driven by the expertise and curiosity of our 11,000 employees from 100 nations and our unique infrastructure. Together, we develop sustainable technologies and thus contribute to finding solutions to global challenges. Would you like to join us in addressing this major future challenge? Then this is your place!

Welcome to the Institute of Flight Systems Engineering. Our work focuses on the interaction between aircraft configuration, pilots and modern flight system technology. From flight dynamics to unmanned aerial vehicles, from simulation to real flight tests - we analyse, test and develop innovations that will shape the flying of the future.

 

Description

 

As part of our research in helicopter modeling, we investigate mathematical descriptions of the behavior of periodic systems. Particular emphasis is placed on the computation of Floquet exponents, which characterize the stability of periodic solutions and are therefore critically important for the modeling and control of helicopters. In this context, we have identified an apparent contradiction between the approaches of Arnold (1994) and Peters & Lieb (2009). While Arnold provides clear guidelines for determining the additive term in the imaginary part of the characteristic exponents, Peters & Lieb view the choice of this term as fundamentally arbitrary.
Your objective will be to systematically compare the two approaches, develop an automated computational method, and demonstrate its application through case studies such as the Mathieu differential equation and differential equations describing rotor blade flapping motion.

 

References:
1.    Arnold, U. (1994). Aeromechanische Stabilitätsuntersuchungen zur Rotorstillsetzung bei Verwandlungsdrehflüglern (Vol. 94-03). Zentrum für Luft- und Raumfahrttechnik. https://doi.org/10.24355/dbbs.084-201811261239-0
2.    Peters, D. A., & Lieb, S. M. (2009). Significance of Floquet Eigenvalues and Eigenvectors for the Dynamics of Time-Varying Systems. In Annual Forum Proceedings - AHS International (Vol. 3, pp. 2529–2558).

 

Objectives

 

  • Analysis of the methods by Arnold (1994) and Peters & Lieb (2009) for computing Floquet exponents.
  • Review of the theoretical foundations as a basis for the subsequent implementation.
  • Development of an automated procedure in MATLAB or Python using the "modal participation" method
  • Documentation

 

Requirements

 

  • Solid knowledge of applied mathematics and physics.
  • Experience in programming (e.g., Python, MATLAB, or Julia).

We offer

DLR stands for diversity, appreciation and equality for all people. We promote independent work and the individual development of our employees both personally and professionally. To this end, we offer numerous training and development opportunities. Equal opportunities are of particular importance to us, which is why we want to increase the proportion of women in science and management in particular. Applicants with severe disabilities will be given preference if they are qualified.

 

 

We look forward to getting to know you!

 

If you have any questions about this position (Vacancy-ID 2219) please contact:

Christoph Keßler 
Tel.: +49 531 295 2690 
Apply now