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Moving loads on flexible structures presented in the floating frame of reference formulation

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Abstract

The introduction of moving loads in the Floating Frame of Reference Formulation is presented. We derive the kinematics and governing equations of motion of a general flexible multibody system and their extension to moving loads. The equivalence of convective effects with Coriolis and centripetal forces is shown. These effects are measured numerically and their significance in moving loads traveling at high speed is confirmed. A method is presented to handle discontinuities when moving loads separate from the flexible structure. The method is extended from beam models to general flexible structures obtained by means of the Finite Element Method. An interpolation method for the deformation field of the modal representation of these bodies is introduced.

The work is concluded by application of the method to modern mechanical problems in numerical simulations.

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Acknowledgements

We would like to thank Martin Otter, Institute of System Dynamics and Control at the DLR, for his help concerning the interpolation method used to retrieve global mode shapes.

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  1. Institute of System Dynamics and Control, German Aerospace Center (DLR), Muenchner Strasse 20, 82234, Wessling, Germany

    Stefan Hartweg & Andreas Heckmann

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  1. Stefan Hartweg
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  2. Andreas Heckmann
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Correspondence to Stefan Hartweg.

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Hartweg, S., Heckmann, A. Moving loads on flexible structures presented in the floating frame of reference formulation. Multibody Syst Dyn 37, 195–210 (2016). https://doi.org/10.1007/s11044-016-9512-0

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