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On the influence of model reduction techniques in topology optimization of flexible multibody systems using the floating frame of reference approach

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Abstract

Employing the floating frame of reference formulation in the topology optimization of dynamically loaded components of flexible multibody systems seems to be a natural choice. In this formulation the deformation of flexible bodies is approximated by global shape functions, which are commonly obtained from finite element models using model reduction techniques. For topology optimization these finite element models can be parameterized using the solid isotropic material with penalization (SIMP) approach. However, little is known about the interplay of model reduction and SIMP parameterization. Also securing the model reduction quality despite major changes of the design during the optimization has not been addressed yet. Thus, using the examples of a flexible frame and a slider-crank mechanism this work discusses the proper choice of the model reduction technique in the topology optimization of flexible multibody systems.

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Acknowledgments

The authors would like to thank the German Research Foundation (DFG) for financial support of the project within the Cluster of Excellence in Simulation Technology (EXC 310/2) at the University of Stuttgart.

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Authors and Affiliations

  1. Hamburg University of Technology, Institute of Mechanics and Ocean Engineering, Eißendorfer Straße 42, 21073, Hamburg, Germany

    Alexander Held, Ali Moghadasi & Robert Seifried

  2. University of Stuttgart, Institute of Engineering and Computational Mechanics, Pfaffenwaldring 9, 70569, Stuttgart, Germany

    Christine Nowakowski & Peter Eberhard

Authors
  1. Alexander Held
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  2. Christine Nowakowski
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  3. Ali Moghadasi
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  4. Robert Seifried
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  5. Peter Eberhard
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Correspondence to Alexander Held.

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Held, A., Nowakowski, C., Moghadasi, A. et al. On the influence of model reduction techniques in topology optimization of flexible multibody systems using the floating frame of reference approach. Struct Multidisc Optim 53, 67–80 (2016). https://doi.org/10.1007/s00158-015-1302-4

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  • DOI: https://doi.org/10.1007/s00158-015-1302-4

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