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Simulation of Test-drives of Automobiles at Driving Limit

In: Mathematics — Key Technology for the Future

Author

Listed:
  • H. J. Pesch

    (Universität Bayreuth, Lehrstuhl für Ingenieurmathematik (FAN))

  • M. Gerdts

    (Universität Bayreuth, Lehrstuhl für Ingenieurmathematik (FAN))

Abstract

This project has been carried out in cooperation with the Volkswagen AG at Wolfsburg/Germany. The scope of the project is the computer-aided simulation of test-drives of an automobile at driving limit. Today the development of a new automotive model is a very expensive process. A large amount of the development costs is consumed by the building of prototypes. Therefore comparatively cheap computer based simulation methods are used to win insights to the future dynamical behavior of the automobile as soon as possible during the development process. The use of powerful software tools allows the complete modelling of automobiles by differential-algebraic equation systems of possibly higher index, e.g., as mechanical multi-body systems. An optimal test-driver is modeled by formulating an optimal control problem subject to the equations of motion of the automobile and additional constraints given by the test-course. The mathematical challenge is to solve large scale optimal control problems with differential-algebraic equation systems of higher index. The benefit for the industrial partner may be described by the slogan “test- drives without prototypes”.

Suggested Citation

  • H. J. Pesch & M. Gerdts, 2003. "Simulation of Test-drives of Automobiles at Driving Limit," Springer Books, in: Willi Jäger & Hans-Joachim Krebs (ed.), Mathematics — Key Technology for the Future, pages 74-83, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-55753-8_7
    DOI: 10.1007/978-3-642-55753-8_7
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