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Automatic Differentiation in Multibody Helicopter Simulation

Kontak, Max and Röhrig-Zöllner, Melven and Hofmann, Johannes and Weiß, Felix Armin (2019) Automatic Differentiation in Multibody Helicopter Simulation. In: Proceedings of the 9th ECCOMAS Thematic Conference on Multibody Dynamics, Multibody Dynamics 2019, 53, pp. 534-542. Springer International Publishing. 9th ECCOMAS Thematic Conference on Multibody Dynamics, 15.-18. Juli 2019, Duisburg, Deutschland. doi: 10.1007/978-3-030-23132-3_64. ISBN 978-3-030-23131-6. ISSN 1871-3033.

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Official URL: https://link.springer.com/chapter/10.1007/978-3-030-23132-3_64


In a first approximation, helicopters can be modeled by open-loop multibody systems (MBS). For this type of MBS the joints' degrees of freedom provide a globally valid set of minimal states. We derive the equations of motion in these minimal coordinates and observe that one has to compute Jacobian matrices of the bodies' kinematics with respect to the minimal states. Classically, these Jacobians are derived analytically from a complicated composition of coordinate transformations. In this paper, we will present an alternative approach, where the arising Jacobians are computed by automatic differentiation (AD). This makes the implementation of a simulation code for open-loop MBS more efficient, less error-prone, and easier to extend. To emphasize the applicability of our approach, we provide simulation results for rigid MBS helicopter models.

Item URL in elib:https://elib.dlr.de/128293/
Document Type:Conference or Workshop Item (Speech)
Additional Information:This is a pre-copyedited version of a contribution published in "Multibody Dynamics 2019" edited by A. Kecskeméthy, F. Geu Flores published by Springer. The authenticated version is available online via https://doi.org/10.1007/978-3-030-23132-3_64.
Title:Automatic Differentiation in Multibody Helicopter Simulation
AuthorsInstitution or Email of AuthorsAuthor's ORCID iDORCID Put Code
Kontak, MaxUNSPECIFIEDhttps://orcid.org/0000-0003-3738-7483UNSPECIFIED
Röhrig-Zöllner, MelvenUNSPECIFIEDhttps://orcid.org/0000-0001-9851-5886UNSPECIFIED
Weiß, Felix ArminUNSPECIFIEDhttps://orcid.org/0000-0002-0059-7033UNSPECIFIED
Date:29 June 2019
Journal or Publication Title:Proceedings of the 9th ECCOMAS Thematic Conference on Multibody Dynamics, Multibody Dynamics 2019
Refereed publication:Yes
Open Access:Yes
Gold Open Access:No
In ISI Web of Science:No
Page Range:pp. 534-542
EditorsEmailEditor's ORCID iDORCID Put Code
Kecskeméthy, AndrésUniversität Duisburg-EssenUNSPECIFIEDUNSPECIFIED
Geu Flores, FranciscoUniversität Duisburg-EssenUNSPECIFIEDUNSPECIFIED
Publisher:Springer International Publishing
Series Name:Computational Methods in Applied Sciences
Keywords:Automatic Differentiation, Multibody Dynamics, Helicopter Simulation
Event Title:9th ECCOMAS Thematic Conference on Multibody Dynamics
Event Location:Duisburg, Deutschland
Event Type:international Conference
Event Dates:15.-18. Juli 2019
HGF - Research field:Aeronautics, Space and Transport
HGF - Program:Space
HGF - Program Themes:Space System Technology
DLR - Research area:Raumfahrt
DLR - Program:R SY - Space System Technology
DLR - Research theme (Project):R - Vorhaben SISTEC (old), L - VicToria (old)
Location: Braunschweig , Köln-Porz
Institutes and Institutions:Institut of Simulation and Software Technology > High Performance Computing
Institute of Flight Systems > Rotorcraft
Deposited By: Kontak, Max
Deposited On:06 Nov 2019 11:58
Last Modified:29 Jun 2020 03:00

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