A Mixed-Integer Nonlinear Program for the Design of Gearboxes

Lena C. Altherr (), Bastian Dörig (), Thorsten Ederer (), Peter F. Pelz (), Marc E. Pfetsch () and Jan Wolf ()
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Lena C. Altherr: Technische Universität Darmstadt
Bastian Dörig: Technische Universität Darmstadt
Thorsten Ederer: Technische Universität Darmstadt
Peter F. Pelz: Technische Universität Darmstadt
Marc E. Pfetsch: Technische Universität Darmstadt
Jan Wolf: Universität Siegen

A chapter in Operations Research Proceedings 2016, 2018, pp 227-233 from Springer

Abstract: 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.

Date: 2018
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DOI: 10.1007/978-3-319-55702-1_31

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