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A Mixed-Integer Nonlinear Program for the Design of Gearboxes

In: Operations Research Proceedings 2016

Author

Listed:
  • Lena C. Altherr

    (Technische Universität Darmstadt)

  • Bastian Dörig

    (Technische Universität Darmstadt)

  • Thorsten Ederer

    (Technische Universität Darmstadt
    Technische Universität Darmstadt)

  • Peter F. Pelz

    (Technische Universität Darmstadt)

  • Marc E. Pfetsch

    (Technische Universität Darmstadt)

  • Jan Wolf

    (Universität Siegen)

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.

Suggested Citation

  • Lena C. Altherr & Bastian Dörig & Thorsten Ederer & Peter F. Pelz & Marc E. Pfetsch & Jan Wolf, 2018. "A Mixed-Integer Nonlinear Program for the Design of Gearboxes," Operations Research Proceedings, in: Andreas Fink & Armin Fügenschuh & Martin Josef Geiger (ed.), Operations Research Proceedings 2016, pages 227-233, Springer.
    • Handle: RePEc:spr:oprchp:978-3-319-55702-1_31
    DOI: 10.1007/978-3-319-55702-1_31
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