Next Article in Journal
On the Effects of Tube Butting on the Structural Performance of Steel Bicycle Frames
Previous Article in Journal
Controlling Density and Modulus in Auxetic Foam Fabrications—Implications for Impact and Indentation Testing
Open AccessProceedings

Robust Trajectory Optimization of a Ski Jumper for Uncertainty Influence and Safety Quantification

Institute of Flight System Dynamics, Technical University of Munich, 85748 Garching, Germany
*
Author to whom correspondence should be addressed.
Presented at the 12th Conference of the International Sports Engineering Association, Brisbane, Queensland, Australia, 26–29 March 2018.
Proceedings 2018, 2(6), 320; https://doi.org/10.3390/proceedings2060320
Published: 13 February 2018
(This article belongs to the Proceedings of The Conference of the International Sports Engineering Association)
This paper deals with the development of a robust optimal control framework for a previously developed multi-body ski jumper simulation model by the authors. This framework is used to model uncertainties acting on the jumper during his jump, e.g., wind or mass, to enhance the performance, but also to increase the fairness and safety of the competition. For the uncertainty modeling the method of generalized polynomial chaos together with the discrete expansion by stochastic collocation is applied: This methodology offers a very flexible framework to model multiple uncertainties using a small number of required optimizations to calculate an uncertain trajectory. The results are then compared to the results of the Latin-Hypercube sampling method to show the correctness of the applied methods. Finally, the results are examined with respect to two major metrics: First, the influence of the uncertainties on the jumper, his positioning with respect to the air, and his maximal achievable flight distance are examined. Then, the results are used in a further step to quantify the safety of the jumper.
Keywords: generalized polynomial chaos; trajectory optimization; ski jumping; uncertainty quantification; stochastic collocation; robust optimization; ski jumping safety generalized polynomial chaos; trajectory optimization; ski jumping; uncertainty quantification; stochastic collocation; robust optimization; ski jumping safety
MDPI and ACS Style

Piprek, P.; Holzapfel, F. Robust Trajectory Optimization of a Ski Jumper for Uncertainty Influence and Safety Quantification. Proceedings 2018, 2, 320.

Show more citation formats Show less citations formats
Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Article Access Map

1
Back to TopTop