Weidauer, Tim, M. Sc.

Reduced order modelling of non-linear gyroscopic systems in ALE formulation with frictional contact

(Own Funds)

Project leader: Kai Willner
Start date: 1. January 2015

Abstract:

Rotating systems are subject to gyroscopic effects, which influence the structure’s dynamics. The Arbitrary-Lagrangian-Eulerian formulation in the finite element method offers an efficient way to include translational and rotatory guiding movement in the model in the course of decoupling this motion from the FE mesh. At the same time this approach aggravates the computation of frictional contact of the rotating body with other still-standing structures.
This procedure stems from the field of rolling contact dynamics and is used in this project for the simulation of disc brakes. By means of these non-linear gyroscopic ALE-systems miscellaneous methods of reduced order modelling in structural dynamics are put to test and extended to meet the models peculiarities.

Publications:

• Weidauer T., Willner K.:
  Eigenpath analysis of rotating mechanical systems based on ALE formulation
  Joint Annual Meeting of DMV and GAMM (Braunschweig, 7. March 2016 - 11. March 2016)
  In: PAMM, Volume 16, Issue 1, Weinheim: 2016
  DOI: 10.1002/pamm.201610113
  URL: http://onlinelibrary.wiley.com/doi/10.1002/pamm.201610113/abstract
• Weidauer T., Willner K.:
  Model reduction of gyroscopic systems in ALE formulation with and without non-linearities
  GAMM 2018 (München, 19. March 2018 - 23. March 2018)
  In: PAMM, Volume 18, Weinheim: 2018
  DOI: 10.1002/pamm.201800216
• Weidauer T., Willner K.:
  Numerical and experimental modal analysis of structures under gyroscopic influence in ALE formulation
  ISMA2018 (Leuven, Belgien, 17. September 2018 - 19. September 2018)
• Weidauer T., Willner K.:
  Reduced Order Modelling for Non-Linear Rotating Systems in ALE Formulation with Contact
  IMAC 2018 (Orlando, FL, USA, 12. February 2018 - 15. February 2018)
  In: Gaetan Kerschen (ed.): Nonlinear Dynamics, Volume 1; Proceedings of the 36th IMAC, A Conference and Exposition on Structural Dynamics 2018 2018
  DOI: 10.1007/978-3-319-74280-9_31