Position innerhalb des Seitenbaumes

SFB 1244: Adaptive Hüllen und Strukturen für die gebaute Umwelt von morgen (T3.0)
Team
Fröhlich, Benjamin

Benjamin Fröhlich

M.Sc.

Wissenschaftlicher Mitarbeiter
Institut für Technische und Numerische Mechanik

Kontakt

+49 711 685 66281
E-Mail

Pfaffenwaldring 9
70569 Stuttgart
Deutschland

Fachgebiet

Beteiligt an Teilprojekten, inklusive Position:

B01 Charakterisierung, Modellierung und Reduktion, Projektbearbeiter

Publikationen

2019
1. B. Fröhlich, J. Gade, F. Geiger, M. Bischoff, and P. Eberhard, “Geometric element parameterization and parametric model order reduction in finite element based shape optimization,” Computational Mechanics, vol. 63, pp. 853–868, 2019, doi: 10.1007/s00466-018-1626-1.
  - BibTeX
  BibTeX
  @article{frohlich2019geometric, abstract = {This contribution proposes a new approach to derive geometrically parameterized, reduced order finite element models. An element formulation for geometrically parameterized finite elements is suggested. The parameterized elements are used to derive models with a parameterized geometry where the parameterized system matrices are expressed in an affine representa- tion. Parametric model order reduction can then be efficiently used to reduce the full order parameterized model to a reduced order parameterized model. The approach shows two beneficial features. First, design studies and shape optimizations can be conducted with parameterized reduced order model of much lower dimension compared to the parameterized, full order model. Second, it is possible to compute sensitivities analytically, and therefore, to avoid the computation of finite differences gradients. The approach is illustrated with two numerical examples. The first example includes a detailed error analysis. The second example is a shape optimization example of an adaptive structure.}, author = {Fröhlich, Benjamin and Gade, Jan and Geiger, Florian and Bischoff, Manfred and Eberhard, Peter}, doi = {10.1007/s00466-018-1626-1}, journal = {Computational Mechanics}, pages = {853-868}, title = {Geometric element parameterization and parametric model order reduction in finite element based shape optimization}, volume = { 63}, year = 2019 }
2018
1. B. Fröhlich, F. Geiger, J. Gade, M. Bischoff, and P. Eberhard, “Model order reduction of coupled, parameterized elastic bodies for shape optimization,” in IUTAM Symposium on Model Order Reduction of Coupled Systems, May 22–25, 2018, Stuttgart, 2018, pp. 151–163. doi: 10.1007/978-3-030-21013-7_11.
  - BibTeX
  BibTeX
  @inproceedings{frohlich2018model, abstract = {In this contribution, coupled, parameterized second order systems are considered where the coupled, parameterized system is derived from the assembly of several parameterized component models. Two approaches for the Parametric Model Order Reduction of such coupled systems are presented and compared in a reduced order shape optimization example. In the first approach, the coupled, parameterized system is derived by coupling the parameterized, full order component models. Then, Parametric Model Order Reduction is executed for the coupled system. In the second approach, the parameterized, component models are first reduced independently of their actual mounting situation. Afterwards, the parameterized, reduced order component models are coupled to derive the parameterized, reduced order system model. It is shown that the first approach yields smaller parameterized, reduced order system models. However, the second approach allows to reuse and to recombine the parameterized, reduced order component models arbitrarily. It therefore introduces more flexibility in the modeling process, enabling for example a toolbox based optimization with parameterized, reduced order models.}, author = {Fröhlich, Benjamin and Geiger, Florian and Gade, Jan and Bischoff, Manfred and Eberhard, Peter}, booktitle = {IUTAM Symposium on Model Order Reduction of Coupled Systems, May 22–25, 2018, Stuttgart}, doi = {10.1007/978-3-030-21013-7_11}, pages = {151--163}, title = {Model order reduction of coupled, parameterized elastic bodies for shape optimization}, year = 2018 }