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On the choice of boundary conditions for mode shapes in flexible multibody systems

Heckmann, Andreas (2010) On the choice of boundary conditions for mode shapes in flexible multibody systems. Multibody System Dynamics (23). Springer. DOI: 10.1007/s11044-009-9177-z. ISSN 1384-5640 (Print) 1573-272X (Online).

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The modal representation of the deformation field is a widespread and efficient approach in the analysis of flexible multibody systems. However, it requires a pre-processing in advance to the actual multibody survey that includes the imposition of boundary conditions for the evaluation of the mode functions as an essential user input. Quite often the appropriateness of these boundary conditions is a point of discussion. Therefore the present paper reviews the theoretical background and the implications of this task. Then, a consistent and comprehensive proposal is made how these boundary conditions may be chosen. The suggestion is justified by theoretical considerations and compared to alternative approaches from the literature in a simulation study with three representative examples. It may be concluded that several approaches lead to reasonable results for a sufficient number of mode functions. However, the proposed approach turned out to be the most efficient one and provides a consistent framework.

Document Type:Article
Title:On the choice of boundary conditions for mode shapes in flexible multibody systems
AuthorsInstitution or Email of Authors
Heckmann, Andreasandreas.heckmann@dlr.de
Date:November 2010
Journal or Publication Title:Multibody System Dynamics
Refereed publication:Yes
In ISI Web of Science:Yes
DOI: 10.1007/s11044-009-9177-z
Schiehlen, WernerUNSPECIFIED
Ambrosio, Jorge A.C.UNSPECIFIED
ISSN: 1384-5640 (Print) 1573-272X (Online)
Keywords:Flexible multibody systems Mode shapes Boundary conditions Ritz approach
HGF - Research field:Aeronautics, Space and Transport
HGF - Program:Transport
HGF - Program Themes:Terrestrial Vehicles
DLR - Research area:Transport
DLR - Program:V BF - Bodengebundene Fahrzeuge
DLR - Research theme (Project):V - Next Generation Train (old)
Location: Oberpfaffenhofen
Institutes and Institutions:Institute of Robotics and Mechatronics > System Dynamics and Control (former Control Design Engineering)
Deposited By: Dr.-Ing. Andreas Heckmann
Deposited On:19 Nov 2009 10:24
Last Modified:26 Feb 2013 15:02

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