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A Mixed-Integer Nonlinear Program for the Design of Gearboxes

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Operations Research Proceedings 2016

Part of the book series: Operations Research Proceedings ((ORP))

Abstract

Gearboxes are mechanical transmission systems that provide speed and torque conversions from a rotating power source. Being a central element of the drive train, they are relevant for the efficiency and durability of motor vehicles. In this work, we present a new approach for gearbox design: Modeling the design problem as a mixed-integer nonlinear program (MINLP) allows us to create gearbox designs from scratch for arbitrary requirements and—given enough time—to compute provably globally optimal designs for a given objective. We show how different degrees of freedom influence the runtime and present an exemplary solution.

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Acknowledgements

The authors thank the German Research Foundation DFG for funding this research within the Collaborative Research Center SFB 805 “Control of Uncertainties in Load-Carrying Structures in Mechanical Engineering”.

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Authors and Affiliations

  1. Department of Mechanical Engineering, Technische Universität Darmstadt, Otto-Berndt-Str. 2, 64287, Darmstadt, Germany

    Lena C. Altherr, Thorsten Ederer & Peter F. Pelz

  2. Department of Mathematics, Technische Universität Darmstadt, Dolivostr. 15, 64293, Darmstadt, Germany

    Bastian Dörig, Thorsten Ederer & Marc E. Pfetsch

  3. Department of Economics, Universität Siegen, Unteres Schloß 3, 57072, Siegen, Germany

    Jan Wolf

Authors
  1. Lena C. Altherr
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  2. Bastian Dörig
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  3. Thorsten Ederer
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  4. Peter F. Pelz
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  5. Marc E. Pfetsch
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  6. Jan Wolf
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Corresponding author

Correspondence to Thorsten Ederer .

Editor information

Editors and Affiliations

  1. Institute of Computer Science, Helmut Schmidt University, Institute of Computer Science, Hamburg, Germany

    Andreas Fink

  2. Applied Mathematics, Helmut Schmidt University, Applied Mathematics, Hamburg, Germany

    Armin Fügenschuh

  3. Institute of Logistics and Organization, Helmut Schmidt University, Institute of Logistics and Organization, Hamburg, Germany

    Martin Josef Geiger

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Altherr, L.C., Dörig, B., Ederer, T., Pelz, P.F., Pfetsch, M.E., Wolf, J. (2018). A Mixed-Integer Nonlinear Program for the Design of Gearboxes. In: Fink, A., Fügenschuh, A., Geiger, M. (eds) Operations Research Proceedings 2016. Operations Research Proceedings. Springer, Cham. https://doi.org/10.1007/978-3-319-55702-1_31

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