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Technical University of Munich
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Field of Research

Structure-preserving, projective model order reduction (MOR) for

  1. parametric, geometrically non-linear
  2. visco-elastic, linear

mechanical systems.
 

Projects

  1. "Model order reduction of parametric non-linear mechanical systems for influencing vibrations" in phase 1
  2. "Numerical and experimental optimization of local visco-elastic damping layer placements for design of calm, smart and smooth structures" in phase 2

of the Priority Program (Schwerpunktprogramm) 1897 of the German Research Foundation (Deutschen Forschungsgemeinschaft) (DFG - SPP 1897) "Calm, Smooth and Smart - Novel Approaches for Influencing Vibrations by Means of Deliberately Introduced Dissipation".

Publications

  • Meyer, C.H.; Lerch C.; Karamooz Mahdiabadi, M.; Rixen, D.J.: Efficient basis updating for parametric nonlinear model order reduction. PAMM, Proceedings in Applied Mathematics and Mechanics 18 (1), 2018 more… BibTeX Full text ( DOI ) Full text (mediaTUM)
  • Winterstein (geb. Mini), A.; Lerch, C.; Bletzinger, K.-U.; Wüchner, R.: Partitioned simulation strategies for fluid-structure-control interaction problems by Gauss-Seidel formulations. Advanced Modeling and Simulation in Engineering Sciences 5 (1), 2018, 1-29 more… BibTeX Full text ( DOI ) Full text (mediaTUM)
  • Meyer, C.H.; Holeczek, K.; Meschenmoser, M.; Lerch, C.: Nonlinear model reduction for control of an active constrained layer damper. Journal of Physics: Conference Series 1106 (1), 2018, 012024 1-7 more… BibTeX Full text ( DOI ) Full text (mediaTUM)
  • Meyer, C.H.; Lerch C.; Lohmann, B.; Rixen, D.J.: Model order reduction for parametric non-linear mechanical systems: state of the art and future research. PAMM, Proceedings in Applied Mathematics and Mechanics 17 (1), 2018, 37-40 more… BibTeX Full text ( DOI )

  • Winterstein (geb. Mini), A.; Lerch, C.; Bletzinger, K.-U.; Wüchner, R.: Partitioned simulation strategies for fluid-structure-control interaction problems by Gauss-Seidel formulations. Advanced Modeling and Simulation in Engineering Sciences 5 (29), 2018, 1 - 29 more… BibTeX Full text ( DOI )
  • Winterstein (geb. Mini), A.; Lerch, C.; Wüchner, R.; Bletzinger, K.-U.: Computational Closed-Loop Control of Fluid-structure Interaction (FSCI) for Lightweight Structures. PAMM, Proceedings in Applied Mathematics and Mechanics 16 (1), 2016, 15-18 more… BibTeX Full text ( DOI )
  • Sicklinger, S.A.; Lerch, C.; Wüchner, R.; Bletzinger, K.-U.: Fully coupled co-simulation of a wind turbine emergency brake maneuver. Journal of Wind Engineering and Industrial Aerodynamics 144, 2015, 134-145 more… BibTeX Full text ( DOI )

  • Lerch, C.; Meyer, C..; Rixen, D.J.; Lohmann, B.: Simulation-Free Model Reduction Approaches for Geometric-Nonlinear and Linear-Visco-Elastic Mechanical Systems. In: Eberhard, P. (Ed.): Calm, Smooth and Smart. Springer, 2023, pp. 189-208 more… BibTeX Full text ( DOI )
  • Lohmann, B.; Bechtold, T.; Eberhard, P.; Fehr, J.; Rixen, D.J.; Cruz Varona, M. ; Lerch, C.; Yuan, C.D.; Rudnyi, E.B.; Frohlich, B.; Holzwarth, P.; Grunert, D.: Model Order reduction in mechanical engineering – Kapitel 2. In: Model Order Reduction. De Gruyter Oldenbourg, 2020, pp. 33-74 more… BibTeX Full text ( DOI )
  • Lerch, C.; Meyer, C.H.: Modellordnungsreduktion für parametrische nichtlineare mechanische Systeme mittels erweiterter simulationsfreier Basen und Hyperreduktion – 6. In: Lohmann, B.; Roppenecker, G. (Ed.): Methoden und Anwendungen der Regelungstechnik. Shaker Verlag (1. edn.), 2017, S. 67-86 more… BibTeX Full text ( DOI ) Full text (mediaTUM)

  • Meyer, C.H.; Lerch, C.; Rothe, S.; Langer, S.C.; Lohmann, B.; Rixen, D.J.: Study on model reduction for position optimization of acoustic black holes. Proceedings in Applied Mathematics & Mechanics, 202191st Annual Meeting of GAMM 2020@21 more… BibTeX Full text ( DOI )
  • Lerch, C.; Meyer, C.H.; Lohmann, B.: Impact of model reduction on frequency responses of linear and geometric nonlinear finite element models. 90th Annual Meeting of GAMM 2019, 2019Vienna, Austria more… BibTeX
  • Meyer, C.H.; Holeczek, K.; Meschenmoser, M.; Lerch, C.: Nonlinear model reduction for control of an active constrained layer damper. International Conference on Modern Practice in Stress and Vibration Analysis (MPSVA 2018), 2018Cambridge, UK more… BibTeX
  • Meyer, C.H.; Lerch, C.; Lohmann, B.; Rixen, D.J.: Efficient Basis Updating for Parametric Nonlinear Model Order Reduction. 89th Annual Meeting of GAMM 2018, 2018München, Germany more… BibTeX
  • Lerch, C.; Meyer, C.H.: Parametric Nonlinear Model Reduction for Structural Dynamics. MATHMOD 2018 - 9th Vienna International Conference on Mathematical Modelling, 2018Vienna, Austria more… BibTeX Full text ( DOI ) Full text (mediaTUM)
  • Meyer, C.H.; Lerch, C.; Lohmann, B.; Rixen D.J.: Model Order Reduction for Parametric Nonlinear Mechanical Systems - State-of-the-Art and Future Research. 88th Annual Meeting of GAMM 2017, 2017Ilmenau@Weimar, Germany more… BibTeX

  • Mini, A.; Lerch, C.; Wüchner, R.; Bletzinger, K.-U.: Computational closed-loop control of fluid-structure interaction for lightweight structures. Joint Annual Meeting of DMV and GAMM 2016, 2016Braunschweig, Germany more… BibTeX
  • Sicklinger, S.A.; Wang, T.; Lerch, C.; Wüchner, R.; Bletzinger, K.-U.: EMPIRE: A N-Code Coupling Tool for Multiphysic Co-Simulations with OpenFOAM. 7th OpenFOAM Workshop, 2012Darmstadt, Germany more… BibTeX

Christopher Lerch: Analysis of Gauß-Seidel Fixed-Point Formulations for an Iteratively Coupled Model Problem with Reference to Fluid-Structure-Control Interaction. Honours project, 2016 [full pdf, 10 MB]

  • Lerch, Christopher: Implementation and Assessment of Partitioned Schemes (Co-Simulation) for Closed-Loop Structural Control in Computational Fluid-Structure Interaction. Master thesis, 2016 more… BibTeX

     [full pdf, 10 MB]

Lerch, Christopher: Fully coupled co-simulation of a wind turbine emergency brake maneuver. Bachelor's thesis, 2013  [pdf, 34 MB]

Teaching Tasks

Supervised Student Projects & Theses

Master's thesis Model order reduction for structural dynamics via direct system parameter optimization on manifolds
Master's thesis Impact of model reduction on nonlinear frequency response functions computed by harmonic balance and pseudo-arclength continuation
Student assistant Implementierung, Verifizierung und Validierung von viskoelastischen Materialgesetzen in FE-Forschungscode
Student assistant Entwicklung analytischer Modelle von mechanischen Systemen mit viskoelastischen Materialien zur Validierung eines FE-Forschungscodes
Term paper Nonlinearities in dynamical models: characterization and examples
Master's hesis Simulation-free model order reduction of non-linear state-space models by means of basis vector derivatives
Bachelor's thesis Modellordnungsreduktion für nichtlineare mechanische Systeme: Bewertung von Reduktionsbasen
Term paper Modellordnungsreduktion von nichtlinearen Finite-Elemente-Modellen: eine explizite, symbolische Betrachtung

Curriculum Vitae

since June 2016 Research Assistant, Chair of Automatic Control, Prof. Dr.-Ing. habil. Boris Lohmann, Technical University of Munich
2013–2016 Student Research Assistant, Chair of Structural Analysis, Prof. Dr.-Ing. Kai-Uwe Bletzinger, Technical University of Munich
2014–2016 Honour's Program Bavarian Graduate School of Computational Engineering (Master of Science with Honours (M.Sc. (hons)))
2013–2016 Master's Program Computational Mechanics, Technical University of Munich (Master of Science (M.Sc.))
2012–2013 Practical Study Semester and Bachelor's Thesis, Chair of Structural Analysis, Prof. Dr.-Ing. Kai-Uwe Bletzinger, Technical University of Munich
2009–2013 Bachelor's Program Mechanical Engineering, Deggendorf Institute of Technology (Bachelor of Engineering (B.Eng.))
1999–2008 Dominicus-von-Linprun-Gymnasium Viechtach (Allgemeine Hochschulreife)
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